// Numbas version: exam_results_page_options
{"type": "exam", "percentPass": "40", "feedback": {"showtotalmark": true, "intro": "", "advicethreshold": 0, "showactualmark": true, "feedbackmessages": [], "allowrevealanswer": true, "showanswerstate": true}, "navigation": {"showfrontpage": true, "showresultspage": "oncompletion", "reverse": true, "browse": true, "onleave": {"message": "<p>Please attempt question</p>", "action": "none"}, "allowregen": true, "preventleave": true}, "metadata": {"description": "<p>Stem and leaf, summation notation, cumulative frequency, relative cumulative frequency.</p>\n<p>rebelmaths</p>\n<p>rebel</p>", "licence": "None specified"}, "question_groups": [{"questions": [{"name": "Cumulative frequency distribution", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "functions": {}, "ungrouped_variables": ["a", "c", "b", "d", "g", "f", "tot", "thing"], "tags": ["cr1", "data analysis", "fitted value", "Rebel", "REBEL", "rebel", "rebelmaths", "regression", "residual value", "sc", "statistics"], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"prompt": "<p>Calculate the cumulative frequecy distribution and the relative cumulative frequency distribution.</p>\n<table border=\"1\" height=\"91\" width=\"573\">\n<tbody>\n<tr><th align=\"left\">x</th><th>Cumulative Frequency Distribution</th><th>\n<p>Relative Cumulative Frequency Distribution</p>\n<p>Enter answer in decimal form (not percentage)</p>\n<p>(correct to 2 decimal places)</p>\n</th></tr>\n<tr><th align=\"left\">Less than 50</th>\n<td style=\"text-align: center;\">[[0]]</td>\n<td>[[1]]</td>\n</tr>\n<tr><th align=\"left\">Less than 60</th>\n<td style=\"text-align: center;\">[[2]]</td>\n<td>[[3]]</td>\n</tr>\n<tr><th align=\"left\">Less than 70</th>\n<td style=\"text-align: center;\">[[4]]</td>\n<td>[[5]]</td>\n</tr>\n<tr><th align=\"left\">Less than 80</th>\n<td style=\"text-align: center;\">[[6]]</td>\n<td>[[7]]</td>\n</tr>\n<tr><th align=\"left\">Less than 90</th>\n<td style=\"text-align: center;\">[[8]]</td>\n<td>[[9]]</td>\n</tr>\n<tr><th align=\"left\">Less than 100</th>\n<td style=\"text-align: center;\">[[10]]</td>\n<td>[[11]]</td>\n</tr>\n</tbody>\n</table>\n<p></p>\n<p>&nbsp;</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "integerPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "integerAnswer": true, "allowFractions": false, "variableReplacements": [], "maxValue": "{a}", "strictPrecision": true, "minValue": "{a}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": 0, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{a}/tot", "strictPrecision": false, "minValue": "{a}/{tot}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"integerPartialCredit": 0, "integerAnswer": true, "allowFractions": false, "variableReplacements": [], "maxValue": "{a}+{b}", "minValue": "{a}+{b}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "({a}+{b})/{tot}", "strictPrecision": false, "minValue": "({a}+{b})/{tot}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"integerPartialCredit": 0, "integerAnswer": true, "allowFractions": false, "variableReplacements": [], "maxValue": "{a}+{b}+{c}", "minValue": "{a}+{b}+{c}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "({a}+{b}+{c})/{tot}", "strictPrecision": false, "minValue": "({a}+{b}+{c})/{tot}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"integerPartialCredit": 0, "integerAnswer": true, "allowFractions": false, "variableReplacements": [], "maxValue": "{a}+{b}+{c}+{d}", "minValue": "{a}+{b}+{c}+{d}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "({a}+{b}+{c}+{d})/{tot}", "strictPrecision": false, "minValue": "({a}+{b}+{c}+{d})/{tot}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"integerPartialCredit": 0, "integerAnswer": true, "allowFractions": false, "variableReplacements": [], "maxValue": "({a}+{b}+{c}+{d}+{f})", "minValue": "({a}+{b}+{c}+{d}+{f})", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "({a}+{b}+{c}+{d}+{f})/{tot}", "strictPrecision": false, "minValue": "({a}+{b}+{c}+{d}+{f})/{tot}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{a}+{b}+{c}+{d}+{f}+{g}", "minValue": "{a}+{b}+{c}+{d}+{f}+{g}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "({a}+{b}+{c}+{d}+{f}+{g})/{tot}", "strictPrecision": false, "minValue": "({a}+{b}+{c}+{d}+{f}+{g})/{tot}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>The table below shows the frequency distribution for {thing}.</p>\n<table height=\"91\" width=\"573\" border=\"1\">\n<tbody>\n<tr><th style=\"text-align: center;\" align=\"left\">x</th><th>f</th></tr>\n<tr><th align=\"left\">40 but less than 50</th>\n<td>{a}</td>\n</tr>\n<tr><th align=\"left\">50 but less than 60</th>\n<td>{b}</td>\n</tr>\n<tr><th align=\"left\">60 but less than 70</th>\n<td>{c}</td>\n</tr>\n<tr><th align=\"left\">70 but less than 80</th>\n<td>{d}</td>\n</tr>\n<tr><th align=\"left\">80 but less than 90</th>\n<td>{f}</td>\n</tr>\n<tr><th align=\"left\">90 but less than 100</th>\n<td>{g}</td>\n</tr>\n</tbody>\n</table>\n<p>&nbsp;</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(1..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "random(1..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "random(1..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "random(1..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "d", "description": ""}, "g": {"definition": "random(1..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "g", "description": ""}, "f": {"definition": "random(1..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "f", "description": ""}, "tot": {"definition": "a+b+c+d+f+g", "templateType": "anything", "group": "Ungrouped variables", "name": "tot", "description": ""}, "thing": {"definition": "random('marks achieved by first year students in an assessment', ' the number of visits to a gym in a year by first year marketing students')", "templateType": "anything", "group": "Ungrouped variables", "name": "thing", "description": ""}}, "metadata": {"description": "<p>Cumulative Frequency Distribution</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Relative Percentage Frequency", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "functions": {"revsort": {"definition": "list(-1*vector(sort(list(-1*vector(a)))))", "type": "list", "parameters": [["a", "list"]], "language": "jme"}}, "ungrouped_variables": ["a", "what", "freqdays", "daysopen", "things", "m", "forwhat", "units", "s", "num", "rel", "n1", "y", "freqdays1", "freqdays2", "r", "norm1"], "tags": ["frequencies", "percentages", "rebel", "Rebel", "REBEL", "rebelmaths", "relative percentage frequencies", "statistics"], "advice": "\n  <p>We show how to calculate the relative percentage frequency for one range of values for &nbsp;$\\var{a[r]} \\le X \\lt \\var{a[r+1]}$ &nbsp; &nbsp;- you can then check the rest.</p>\n  <p>Note that there were&nbsp;$\\var{daysopen}$&nbsp;days &nbsp;in the year when sales took place.&nbsp;</p>\n  <p>There were $\\var{norm1[r]}$ days out of the&nbsp;&nbsp;$\\var{daysopen}$ when&nbsp;there were between $\\var{a[r]}$&nbsp;and&nbsp;$\\var{a[r+1]}$ thousand pounds worth of&nbsp;sales (including &nbsp;$\\var{a[r]}$ thousand&nbsp;but not&nbsp;$\\var{a[r+1]}$ thousand) .</p>\n  <p>Hence the relative frequency percentage for such sales is given by \\[100 \\times \\frac{\\var{norm1[r]}}{\\var{daysopen}}\\%=\\var{rel[r]}\\%\\]&nbsp;to one decimal place.</p>\n  <p>&nbsp;</p>\n  ", "rulesets": {}, "parts": [{"prompt": "\n       <table border=\"1\">\n        <tbody>\n        <th>{things}</th> <th>{num}</th> <th>Relative Percentages</th>\n        <tr><th align=\"left\">$\\var{a[0]}\\le X \\lt \\var{a[1]}$</th>\n        <td>$\\var{norm1[0]}$</td>\n        <td>[[0]]</td>\n        </tr>\n       <tr><th align=\"left\">$\\var{a[1]}\\le X \\lt \\var{a[2]}$</th>\n        <td>$\\var{norm1[1]}$</td>\n        <td>[[1]]</td>\n        </tr>\n        <tr><th align=\"left\">$\\var{a[2]}\\le X \\lt \\var{a[3]}$</th>\n        <td>$\\var{norm1[2]}$</td>\n        <td>[[2]]</td>\n        </tr>\n        <tr><th align=\"left\">$\\var{a[3]}\\le X \\lt \\var{a[4]}$</th>\n        <td>$\\var{norm1[3]}$</td>\n        <td>[[3]]</td>\n        </tr>\n        <tr><th align=\"left\">$\\var{a[4]}\\le X \\lt \\var{a[5]}$</th>\n        <td>$\\var{norm1[4]}$</td>\n        <td>[[4]]</td>\n        </tr>\n        <tr><th align=\"left\">$\\var{a[5]}\\le X \\lt \\var{a[6]}$</th>\n        <td>$\\var{norm1[5]}$</td>\n        <td>[[5]]</td>\n        </tr>\n        <tr><th align=\"left\">$\\var{a[6]}\\le X \\lt \\var{a[7]}$</th>\n        <td>$\\var{norm1[6]}$</td>\n        <td>[[6]]</td>\n        </tr>\n        </tbody>\n        </table>\n      ", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "rel[0]", "minValue": "rel[0]", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "rel[1]", "minValue": "rel[1]", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "rel[2]", "minValue": "rel[2]", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "rel[3]", "minValue": "rel[3]", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "rel[4]", "minValue": "rel[4]", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "rel[5]", "minValue": "rel[5]", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "rel[6]", "minValue": "rel[6]", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "\n  <p>The following table shows {what}, $X$, {units} {forwhat}.</p>\n  <p>Calculate the relative percentage frequencies (to one decimal place for all).</p>\n  ", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"a": {"definition": "map(s*x,x,0..7)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "what": {"definition": "'daily sales'", "templateType": "anything", "group": "Ungrouped variables", "name": "what", "description": ""}, "freqdays": {"definition": "freqdays1+freqdays2", "templateType": "anything", "group": "Ungrouped variables", "name": "freqdays", "description": ""}, "daysopen": {"definition": "sum(norm1)", "templateType": "anything", "group": "Ungrouped variables", "name": "daysopen", "description": ""}, "things": {"definition": "'Sales'", "templateType": "anything", "group": "Ungrouped variables", "name": "things", "description": ""}, "m": {"definition": "max(freqdays1)", "templateType": "anything", "group": "Ungrouped variables", "name": "m", "description": ""}, "forwhat": {"definition": "'for a large retailer in '+random(2010,2011,2012)", "templateType": "anything", "group": "Ungrouped variables", "name": "forwhat", "description": ""}, "units": {"definition": "'in thousands of pounds'", "templateType": "anything", "group": "Ungrouped variables", "name": "units", "description": ""}, "s": {"definition": "random(5..15#5)", "templateType": "anything", "group": "Ungrouped variables", "name": "s", "description": ""}, "num": {"definition": "'Number of days'", "templateType": "anything", "group": "Ungrouped variables", "name": "num", "description": ""}, "rel": {"definition": "map(precround(100*norm1[x]/daysopen,1),x,0..2*n1-2)", "templateType": "anything", "group": "Ungrouped variables", "name": "rel", "description": ""}, "n1": {"definition": "4", "templateType": "anything", "group": "Ungrouped variables", "name": "n1", "description": ""}, "y": {"definition": "random(300..320)", "templateType": "anything", "group": "Ungrouped variables", "name": "y", "description": ""}, "freqdays1": {"definition": "sort(repeat(random(2..50),n1))", "templateType": "anything", "group": "Ungrouped variables", "name": "freqdays1", "description": ""}, "freqdays2": {"definition": "revsort(repeat(random(2..m-1),n1-1))", "templateType": "anything", "group": "Ungrouped variables", "name": "freqdays2", "description": ""}, "r": {"definition": "random(0..5)", "templateType": "anything", "group": "Ungrouped variables", "name": "r", "description": ""}, "norm1": {"definition": "map(round(x),x,list((y/sum(freqdays))*vector(freqdays)))", "templateType": "anything", "group": "Ungrouped variables", "name": "norm1", "description": ""}}, "metadata": {"description": "<p>Given a table of the number of days in which sales were between &pound;x1000 and &pound;(x+1)1000 find the relative percentage frequencies of these volume of sales.</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Stem and Leaf plot", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "showQuestionGroupNames": false, "type": "question", "rulesets": {}, "preamble": {"js": "", "css": ""}, "metadata": {"description": "<p>Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "tags": ["REBEL", "rebel", "Rebel", "rebelmaths", "statistics", "stem-and-leaf plots"], "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["arr", "ss", "s", "darr1", "u", "arr1", "v", "r"], "parts": [{"prompt": "\n  <table border=\"1\">\n<tbody>\n<tr><th>STEM</th><th colspan=\"5\">LEAF</th></tr>\n<tr><th align=\"left\">$\\var{v}$</th>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>[[2]]</td>\n<td>[[3]]</td>\n<td>[[4]]</td>\n</tr>\n<tr><th align=\"left\">$\\var{v+1}$</th>\n<td>[[5]]</td>\n<td>[[6]]</td>\n<td>[[7]]</td>\n<td>[[8]]</td>\n<td>[[9]]</td>\n</tr>\n<tr><th align=\"left\">$\\var{v+2}$</th>\n<td>[[10]]</td>\n<td>[[11]]</td>\n<td>[[12]]</td>\n<td>[[13]]</td>\n<td>[[14]]</td>\n</tr>\n<tr><th align=\"left\">$\\var{v+3}$</th>\n<td>[[15]]</td>\n<td>[[16]]</td>\n<td>[[17]]</td>\n<td>[[18]]</td>\n<td>[[19]]</td>\n</tr>\n<tr><th align=\"left\">$\\var{v+4}$</th>\n<td>[[20]]</td>\n<td>[[21]]</td>\n<td>[[22]]</td>\n<td>[[23]]</td>\n<td>[[24]]</td>\n</tr>\n</tbody>\n</table>\n  \n", "scripts": {}, "gaps": [{"allowFractions": false, "minValue": "{u[0][0]}", "showPrecisionHint": false, "maxValue": "{u[0][0]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[0][1]}", "showPrecisionHint": false, "maxValue": "{u[0][1]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[0][2]}", "showPrecisionHint": false, "maxValue": "{u[0][2]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, 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"variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[2][0]}", "showPrecisionHint": false, "maxValue": "{u[2][0]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[2][1]}", "showPrecisionHint": false, "maxValue": "{u[2][1]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[2][2]}", "showPrecisionHint": false, "maxValue": "{u[2][2]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[2][3]}", "showPrecisionHint": false, "maxValue": "{u[2][3]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[2][4]}", "showPrecisionHint": false, "maxValue": "{u[2][4]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[3][0]}", "showPrecisionHint": false, "maxValue": "{u[3][0]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[3][1]}", "showPrecisionHint": false, "maxValue": "{u[3][1]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[3][2]}", "showPrecisionHint": false, "maxValue": "{u[3][2]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[3][3]}", "showPrecisionHint": false, "maxValue": "{u[3][3]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[3][4]}", "showPrecisionHint": false, "maxValue": "{u[3][4]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[4][0]}", "showPrecisionHint": false, "maxValue": "{u[4][0]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[4][1]}", "showPrecisionHint": false, "maxValue": "{u[4][1]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[4][2]}", "showPrecisionHint": false, "maxValue": "{u[4][2]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[4][3]}", "showPrecisionHint": false, "maxValue": "{u[4][3]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[4][4]}", "showPrecisionHint": false, "maxValue": "{u[4][4]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}], "type": "gapfill", "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "variableReplacements": [], "marks": 0}], "statement": "\n  <p>Construct a stem-and-leaf plot for the following data. Input all numbers into the fields below.</p>\n  <p>{table([ss],[])}</p>\n  <p>&nbsp;NOTE: All 25 fields have to be filled in. Input -1 if there is no number in a field.</p>\n  <p>&nbsp;</p>\n  <p>&nbsp;</p>\n  \n", "question_groups": [{"pickingStrategy": "all-ordered", "name": "", "questions": [], "pickQuestions": 0}], "variables": {"darr1": {"description": "", "name": "darr1", "definition": "map(['$'+(v+y)+'$'+ ':']+arr1[y],y,0..4)", "group": "Ungrouped variables", "templateType": "anything"}, "ss": {"description": "", "name": "ss", "definition": "shuffle(s)", "group": "Ungrouped variables", "templateType": "anything"}, "v": {"description": "", "name": "v", "definition": "random(0..4)", "group": "Ungrouped variables", "templateType": "anything"}, "s": {"description": "", "name": "s", "definition": "flattenint(arr)", "group": "Ungrouped variables", "templateType": "anything"}, "arr1": {"description": "", "name": "arr1", "definition": "map(map(arr[y][p]-10*(y+v),p,0..r[y]-1),y,0..4)", "group": "Ungrouped variables", "templateType": "anything"}, "u": {"description": "", "name": "u", "definition": "map(map(if(p<r[y],arr1[y][p],-1),p,0..4),y,0..4)", "group": "Ungrouped variables", "templateType": "anything"}, "r": {"description": "", "name": "r", "definition": "shuffle([random(1..4),random(4..5),random(3..5),random(3..5),random(2..4)])", "group": "Ungrouped variables", "templateType": "anything"}, "arr": {"description": "", "name": "arr", "definition": "map(sort(repeat(10*y+random(0..9),r[y-v])),y,v..v+4)", "group": "Ungrouped variables", "templateType": "anything"}}, "functions": {"flattenint": {"parameters": [["a", "list"]], "definition": "\n  /*only for integer arrays*/ \n  a.toString().split(',').forEach( function (item, k) \n  {a[k] = parseInt(item);\n  }\n  );        \n   return a;\n  \n", "language": "javascript", "type": "list"}}, "advice": "\n  <p>Ordering the data gives:</p>\n  <p>{table([s],[])}</p>\n  <p>Splitting into the groups of 10s gives</p>\n  <p>{table(arr,[])}</p>\n  <p>Then putting this into stem-and-leaf plot gives</p>\n  <p>{table(darr1,['STEM'])}</p>\n  \n", "variable_groups": []}, {"name": "Cumulative frequency ", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Q11_cumlative_frequnecy_1.jpg", "/srv/numbas/media/question-resources/Q11_cumlative_frequnecy_1.jpg"], ["question-resources/Q11_cumlative_frequnecy.jpg", "/srv/numbas/media/question-resources/Q11_cumlative_frequnecy.jpg"], ["question-resources/Q11_cumlative_frequnecy_2.jpg", "/srv/numbas/media/question-resources/Q11_cumlative_frequnecy_2.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "functions": {}, "ungrouped_variables": [], "tags": ["cumulative", "rebel", "REBEL", "Rebel", "rebelmaths"], "advice": "<p>Check you're using the correct axis.</p>", "rulesets": {}, "parts": [{"prompt": "<p>How many people waited less than 20 minutes?</p>", "allowFractions": false, "variableReplacements": [], "maxValue": "10", "minValue": "10", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"prompt": "<p>Give an estimate for the number of people who waited between 20 and 40 minutes.</p>", "allowFractions": false, "variableReplacements": [], "maxValue": "24", "minValue": "22", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "2", "type": "numberentry", "showPrecisionHint": false}], "statement": "<p>The cumulative frequency diagram gives information about the time, in minutes, 50 people were kept waiting at hospital.</p>\n<p><img src=\"resources/question-resources/Q11_cumlative_frequnecy_2.jpg\"/></p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {}, "metadata": {"description": "<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Qualitative v Quantative", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "functions": {}, "ungrouped_variables": ["quant1", "quant2", "qual2", "cind", "qual1", "m", "ch1", "ch2", "ch3", "quant", "ind", "ind1", "qual"], "tags": ["qualitative variables", "quantitative variables", "random variables", "rebel", "Rebel", "REBEL", "rebelmaths", "statistics"], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"maxAnswers": 0, "shuffleChoices": true, "matrix": "m", "shuffleAnswers": true, "minAnswers": 0, "variableReplacements": [], "answers": ["<p>Qualitative (Categorical)</p>", "<p>Quantitative (Numerical)</p>"], "warningType": "none", "variableReplacementStrategy": "originalfirst", "maxMarks": 0, "showCorrectAnswer": true, "scripts": {}, "marks": 0, "choices": ["{ch1}", "{ch2}", "{ch3}"], "type": "m_n_x", "displayType": "radiogroup", "minMarks": 0, "layout": {"expression": "", "type": "all"}}], "statement": "<p>State whether the following variables are Qualitative (Categorical) or Quantitative(numerical).&nbsp;</p>\n<p>Note that you will be deducted one mark for every wrong choice. However the minimum mark is 0.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"quant1": {"definition": "[\"The number of orders received by a catering company\",\"The height of students taking Statistics courses at Newcastle this year\", \"Your quarterly gas bill\", \"The time spent on hold at a credit call centre\",\"The average shipping time for orders placed with a TV shopping channel\",\"The annual electricity bill for a large UK Supermarket\"]", "templateType": "anything", "group": "Ungrouped variables", "name": "quant1", "description": ""}, "quant2": {"definition": "[\"The number of people requiring a special in-flight meal\",\"The average volume of bottles of wine imported from South America\",\"Salaries of Newcastle University graduates six months after graduation\",\"The distance travelled by taxis for a particular cab firm every day\",\"Total annual sales for a large American departmental store\",\"The total cost of a student's text books for this semester\"]", "templateType": "anything", "group": "Ungrouped variables", "name": "quant2", "description": ""}, "qual2": {"definition": "[\"Ice cream flavour preferred by children\",\"Brand of sportswear preferred by athletes\",\"Favourite type of film by UK cinema-goers\",\"Mobile phone price-plan\",\"Shape of swimming pools in local authority-run leisure centres\"]", "templateType": "anything", "group": "Ungrouped variables", "name": "qual2", "description": ""}, "cind": {"definition": "-1*ind1", "templateType": "anything", "group": "Ungrouped variables", "name": "cind", "description": ""}, "qual1": {"definition": "[\"Types of PC used by small businesses in the north-east\",\"Marital status of questionnaire respondents\",\"Month of the year in which small shops record their highest sales\",\"Type of tenure for those in the licensed trade business\",\"Subjects studied at A level by students in this class\"]", "templateType": "anything", "group": "Ungrouped variables", "name": "qual1", "description": ""}, "m": {"definition": "transpose(matrix(list(cind),list(ind1)))", "templateType": "anything", "group": "Ungrouped variables", "name": "m", "description": ""}, "ch1": {"definition": "switch(ind[0]=0,random(qual),random(quant))", "templateType": "anything", "group": "Ungrouped variables", "name": "ch1", "description": ""}, "ch2": {"definition": "switch(ind[1]=0,random(qual except ch1),random(quant except ch1))", "templateType": "anything", "group": "Ungrouped variables", "name": "ch2", "description": ""}, "ch3": {"definition": "switch(ind[2]=0,random(qual except [ch1,ch2]),random(quant except [ch1,ch2]))", "templateType": "anything", "group": "Ungrouped variables", "name": "ch3", "description": ""}, "quant": {"definition": "quant1+quant2", "templateType": "anything", "group": "Ungrouped variables", "name": "quant", "description": ""}, "ind": {"definition": "random([[0,0,0],[1,0,0],[0,1,0],[0,0,1],[0,1,1],[1,0,1],[1,1,0],[1,1,1]])", "templateType": "anything", "group": "Ungrouped variables", "name": "ind", "description": ""}, "ind1": {"definition": "2*vector(ind)-vector(1,1,1)", "templateType": "anything", "group": "Ungrouped variables", "name": "ind1", "description": ""}, "qual": {"definition": "qual1+qual2", "templateType": "anything", "group": "Ungrouped variables", "name": "qual", "description": ""}}, "metadata": {"description": "<p>Choosing whether given random variables are qualitiative or quantitative.</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Stem and leaf 2 ", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "functions": {"flattenint": {"definition": "\n  /*only for integer arrays*/ \n  a.toString().split(',').forEach( function (item, k) \n  {a[k] = parseInt(item);\n  }\n  );        \n   return a;\n  \n", "type": "list", "parameters": [["a", "list"]], "language": "javascript"}}, "ungrouped_variables": ["arr", "ss", "s", "darr1", "u", "arr1", "v", "r"], "tags": ["REBEL", "rebel", "Rebel", "rebelmaths", "statistics", "stem-and-leaf plots"], "advice": "\n  <p>Ordering the data gives:</p>\n  <p>{table([s],[])}</p>\n  <p>Splitting into the groups of 10s gives</p>\n  <p>{table(arr,[])}</p>\n  <p>Then putting this into stem-and-leaf plot gives</p>\n  <p>{table(darr1,['STEM'])}</p>\n  \n", "rulesets": {}, "parts": [{"prompt": "\n  <table border=\"1\">\n<tbody>\n<tr><th>STEM</th><th colspan=\"5\">LEAF</th></tr>\n<tr><th align=\"left\">$\\var{v}$</th>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>[[2]]</td>\n<td>[[3]]</td>\n<td>[[4]]</td>\n</tr>\n<tr><th align=\"left\">$\\var{v+1}$</th>\n<td>[[5]]</td>\n<td>[[6]]</td>\n<td>[[7]]</td>\n<td>[[8]]</td>\n<td>[[9]]</td>\n</tr>\n<tr><th align=\"left\">$\\var{v+2}$</th>\n<td>[[10]]</td>\n<td>[[11]]</td>\n<td>[[12]]</td>\n<td>[[13]]</td>\n<td>[[14]]</td>\n</tr>\n<tr><th align=\"left\">$\\var{v+3}$</th>\n<td>[[15]]</td>\n<td>[[16]]</td>\n<td>[[17]]</td>\n<td>[[18]]</td>\n<td>[[19]]</td>\n</tr>\n<tr><th align=\"left\">$\\var{v+4}$</th>\n<td>[[20]]</td>\n<td>[[21]]</td>\n<td>[[22]]</td>\n<td>[[23]]</td>\n<td>[[24]]</td>\n</tr>\n</tbody>\n</table>\n  \n", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{u[0][0]}", "minValue": "{u[0][0]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[0][1]}", "minValue": "{u[0][1]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[0][2]}", "minValue": "{u[0][2]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[0][3]}", "minValue": "{u[0][3]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[0][4]}", "minValue": "{u[0][4]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[1][0]}", "minValue": "{u[1][0]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[1][1]}", "minValue": "{u[1][1]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[1][2]}", "minValue": "{u[1][2]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[1][3]}", "minValue": "{u[1][3]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[1][4]}", "minValue": "{u[1][4]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[2][0]}", "minValue": "{u[2][0]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[2][1]}", "minValue": "{u[2][1]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[2][2]}", "minValue": "{u[2][2]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[2][3]}", "minValue": "{u[2][3]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[2][4]}", "minValue": "{u[2][4]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[3][0]}", "minValue": "{u[3][0]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[3][1]}", "minValue": "{u[3][1]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[3][2]}", "minValue": "{u[3][2]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[3][3]}", "minValue": "{u[3][3]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[3][4]}", "minValue": "{u[3][4]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[4][0]}", "minValue": "{u[4][0]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[4][1]}", "minValue": "{u[4][1]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[4][2]}", "minValue": "{u[4][2]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[4][3]}", "minValue": "{u[4][3]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{u[4][4]}", "minValue": "{u[4][4]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 0.2, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>The following are the results from a first year business studies in class assessment in CIT.</p>\n<p>Construct a stem-and-leaf plot for the data. Input all numbers into the fields below.</p>\n<p>{table([ss],[])}</p>\n<p>&nbsp;NOTE: All 25 fields have to be filled in. Input -1 if there is no number in a field.</p>\n<p>&nbsp;</p>\n<p>&nbsp;</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"arr": {"definition": "map(sort(repeat(10*y+random(0..9),r[y-v])),y,v..v+4)", "templateType": "anything", "group": "Ungrouped variables", "name": "arr", "description": ""}, "ss": {"definition": "shuffle(s)", "templateType": "anything", "group": "Ungrouped variables", "name": "ss", "description": ""}, "s": {"definition": "flattenint(arr)", "templateType": "anything", "group": "Ungrouped variables", "name": "s", "description": ""}, "darr1": {"definition": "map(['$'+(v+y)+'$'+ ':']+arr1[y],y,0..4)", "templateType": "anything", "group": "Ungrouped variables", "name": "darr1", "description": ""}, "u": {"definition": "map(map(if(p<r[y],arr1[y][p],-1),p,0..4),y,0..4)", "templateType": "anything", "group": "Ungrouped variables", "name": "u", "description": ""}, "arr1": {"definition": "map(map(arr[y][p]-10*(y+v),p,0..r[y]-1),y,0..4)", "templateType": "anything", "group": "Ungrouped variables", "name": "arr1", "description": ""}, "v": {"definition": "random(0..4)", "templateType": "anything", "group": "Ungrouped variables", "name": "v", "description": ""}, "r": {"definition": "shuffle([random(1..4),random(4..5),random(3..5),random(3..5),random(2..4)])", "templateType": "anything", "group": "Ungrouped variables", "name": "r", "description": ""}}, "metadata": {"description": "<p>Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Summation notation ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "tags": ["REBEL", "rebel", "Rebel", "rebelmaths", "summation"], "metadata": {"description": "<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>The following table lists five pairs of $x$ and $f$ values.</p>\n<table height=\"91\" border=\"1\" width=\"573\">\n<tbody>\n<tr><th align=\"left\">$\\mathbf{x}$</th><th>{x1}</th><th>{x2}</th><th>{x3}</th><th>{x4}</th><th>{x5}</th></tr>\n<tr><th align=\"left\">$\\mathbf{f} $</th>\n<td>{f1}</td>\n<td>{f2}</td>\n<td>{f3}</td>\n<td>{f4}</td>\n<td>{f5}</td>\n</tr>\n</tbody>\n</table>", "advice": "", "rulesets": {}, "variables": {"f1": {"name": "f1", "group": "Ungrouped variables", "definition": "random(2 .. 20#1)", "description": "", "templateType": "randrange"}, "f2": {"name": "f2", "group": "Ungrouped variables", "definition": "random(5 .. 20#1)", "description": "", "templateType": "randrange"}, "f3": {"name": "f3", "group": "Ungrouped variables", "definition": "random(5 .. 20#1)", "description": "", "templateType": "randrange"}, "f4": {"name": "f4", "group": "Ungrouped variables", "definition": "random(7 .. 10#1)", "description": "", "templateType": "randrange"}, "f5": {"name": "f5", "group": "Ungrouped variables", "definition": "random(10 .. 20#1)", "description": "", "templateType": "randrange"}, "x2": {"name": "x2", "group": "Ungrouped variables", "definition": "random(3 .. 4#1)", "description": "", "templateType": "randrange"}, "x3": {"name": "x3", "group": "Ungrouped variables", "definition": "random(5 .. 6#1)", "description": "", "templateType": "randrange"}, "x1": {"name": "x1", "group": "Ungrouped variables", "definition": "random(1 .. 2#1)", "description": "", "templateType": "randrange"}, "x4": {"name": "x4", "group": "Ungrouped variables", "definition": "random(7 .. 8#1)", "description": "", "templateType": "randrange"}, "x5": {"name": "x5", "group": "Ungrouped variables", "definition": "random(9 .. 10#1)", "description": "", "templateType": "randrange"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["f1", "f2", "f3", "f4", "f5", "x2", "x3", "x1", "x4", "x5"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\sum x = $ &nbsp;[[0]]</p>\n<p>$\\sum f = $ [[1]]</p>\n<p>$\\sum fx = $ [[2]]</p>\n<p>$\\sum fx^2 =$ [[3]]</p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\Sigma$ just means 'sum of' or total.</p>\n<p>For example:</p>\n<p>$\\Sigma x$ means add up the $x$ values</p>\n<p></p>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{x1}+{x2}+{x3}+{x4}+{x5}", "maxValue": "{x1}+{x2}+{x3}+{x4}+{x5}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{f1}+{f2}+{f3}+{f4}+{f5}", "maxValue": "{f1}+{f2}+{f3}+{f4}+{f5}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{f1}*{x1}+{f2}*{x2}+{f3}*{x3}+{f4}*{x4}+{f5}*{x5}", "maxValue": "{f1}*{x1}+{f2}*{x2}+{f3}*{x3}+{f4}*{x4}+{f5}*{x5}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{f1}*{x1}^2+{f2}*{x2}^2+{f3}*{x3}^2+{f4}*{x4}^2+{f5}*{x5}^2", "maxValue": "{f1}*{x1}^2+{f2}*{x2}^2+{f3}*{x3}^2+{f4}*{x4}^2+{f5}*{x5}^2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Summation notation 2 ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}], "functions": {}, "ungrouped_variables": ["x2", "x3", "x1", "x6", "x4", "x5"], "tags": ["rebel", "Rebel", "REBEL", "rebelmaths", "summation"], "preamble": {"css": "", "js": ""}, "advice": "<p>The symbol $\\Sigma$ means 'sum of' or 'total'.</p>\n<p></p>\n<p>$\\sum y&nbsp; $ means add up the&nbsp;$y$ values.&nbsp;&nbsp;</p>\n<p>$(\\sum y)^2 &nbsp;$&nbsp; means add up the $y$ values and then square your answer. <br/><br/></p>\n<p>$\\sum y^2 &nbsp;$ means square each of the $y$ values then add them up.</p>\n<p></p>", "rulesets": {}, "parts": [{"prompt": "<p>Find</p>\n<p>$\\sum y = $ &nbsp;[[0]]</p>\n<p>$(\\sum y)^2 = $ [[1]]</p>\n<p>$\\sum y^2 = $ [[2]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{x1}+{x2}+{x3}+{x4}+{x5}+{x6}", "minValue": "{x1}+{x2}+{x3}+{x4}+{x5}+{x6}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "2", "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "({x1}+{x2}+{x3}+{x4}+{x5}+{x6})^2", "minValue": "({x1}+{x2}+{x3}+{x4}+{x5}+{x6})^2", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "2", "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{x1}^2+{x2}^2+{x3}^2+{x4}^2+{x5}^2+{x6}^2", "minValue": "{x1}^2+{x2}^2+{x3}^2+{x4}^2+{x5}^2+{x6}^2", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "2", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>Six adults spent {x1}, {x2}, {x3}, {x4}, {x5} and {x6} euros on lottery tickets last month. Let $y$ denote last month's lottery ticket expenses for an adult.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"x2": {"definition": "random(10..20#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "x2", "description": ""}, "x3": {"definition": "random(2..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "x3", "description": ""}, "x1": {"definition": "random(1..30#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "x1", "description": ""}, "x6": {"definition": "random(5..20#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "x6", "description": ""}, "x4": {"definition": "random(5..15#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "x4", "description": ""}, "x5": {"definition": "random(2..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "x5", "description": ""}}, "metadata": {"description": "<p>Summation Notation</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}], "name": "", "pickQuestions": 0, "pickingStrategy": "all-ordered"}], "name": "Descriptive Statistics", "showQuestionGroupNames": false, "shuffleQuestions": false, "duration": 0, "allQuestions": true, "questions": [], "timing": {"allowPause": true, "timeout": {"message": "<p>Your time is up.</p>", "action": "warn"}, "timedwarning": {"message": "<p>You have five minutes left.</p>", "action": "warn"}}, "pickQuestions": 0, "contributors": [{"name": "Deirdre Casey", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/681/"}], "extensions": ["stats"], "custom_part_types": [], "resources": [["question-resources/Q11_cumlative_frequnecy_1.jpg", "/srv/numbas/media/question-resources/Q11_cumlative_frequnecy_1.jpg"], ["question-resources/Q11_cumlative_frequnecy.jpg", "/srv/numbas/media/question-resources/Q11_cumlative_frequnecy.jpg"], ["question-resources/Q11_cumlative_frequnecy_2.jpg", "/srv/numbas/media/question-resources/Q11_cumlative_frequnecy_2.jpg"]]}