// Numbas version: exam_results_page_options
{"name": "Construct stem and leaf plot", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "variables": {"r": {"templateType": "anything", "group": "Ungrouped variables", "definition": "//number of integers in categories\n    shuffle([random(1..4),random(4..5),random(3..5),random(3..5),random(2..4)])", "description": "", "name": "r"}, "v": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(0..4)", "description": "", "name": "v"}, "arr1": {"templateType": "anything", "group": "Ungrouped variables", "definition": "//strips away the leading digit of each number\n    map(map(arr[y][p]-10*(y+v),p,0..r[y]-1),y,0..4)", "description": "", "name": "arr1"}, "s": {"templateType": "anything", "group": "Ungrouped variables", "definition": "//one array of numbers which gets shuffled using ss\n    flattenint(arr)", "description": "", "name": "s"}, "arr": {"templateType": "anything", "group": "Ungrouped variables", "definition": "//gives the numbers in each category in increasing order\n    map(sort(repeat(10*y+random(0..9),r[y-v])),y,v..v+4)", "description": "", "name": "arr"}, "u": {"templateType": "anything", "group": "Ungrouped variables", "definition": "map(map(if(p<r[y],arr1[y][p],-1),p,0..4),y,0..4)", "description": "", "name": "u"}, "darr1": {"templateType": "anything", "group": "Ungrouped variables", "definition": "map(['$'+(v+y)+'$'+ ':']+arr1[y],y,0..4)", "description": "", "name": "darr1"}, "ss": {"templateType": "anything", "group": "Ungrouped variables", "definition": "shuffle(s)", "description": "", "name": "ss"}}, "ungrouped_variables": ["arr", "ss", "s", "darr1", "u", "arr1", "v", "r"], "rulesets": {}, "name": "Construct stem and leaf plot", "showQuestionGroupNames": false, "functions": {"flattenint": {"type": "list", "language": "javascript", "definition": "/*only for integer arrays*/ \n        a.toString().split(',').forEach( function (item, k) \n        {a[k] = parseInt(item);\n        }\n        );        \n         return a;", "parameters": [["a", "list"]]}}, "parts": [{"scripts": {}, "gaps": [{"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[0][0]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[0][0]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[0][1]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[0][1]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[0][2]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[0][2]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[0][3]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[0][3]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[0][4]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[0][4]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[1][0]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[1][0]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[1][1]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[1][1]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[1][2]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[1][2]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[1][3]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[1][3]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[1][4]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[1][4]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[2][0]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[2][0]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[2][1]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[2][1]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[2][2]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[2][2]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[2][3]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[2][3]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[2][4]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[2][4]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[3][0]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[3][0]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[3][1]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[3][1]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[3][2]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[3][2]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[3][3]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[3][3]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[3][4]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[3][4]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[4][0]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[4][0]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[4][1]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[4][1]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[4][2]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[4][2]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[4][3]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[4][3]}"}, {"showPrecisionHint": false, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{u[4][4]}", "correctAnswerFraction": false, "marks": 0.2, "maxValue": "{u[4][4]}"}], "type": "gapfill", "prompt": "<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>", "showCorrectAnswer": true, "marks": 0}], "variablesTest": {"condition": "", "maxRuns": 100}, "statement": "<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>", "tags": ["checked2015", "MAS1403"], "question_groups": [{"pickingStrategy": "all-ordered", "questions": [], "name": "", "pickQuestions": 0}], "preamble": {"css": "", "js": ""}, "type": "question", "metadata": {"notes": "", "licence": "Creative Commons Attribution 4.0 International", "description": "<p>Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.</p>"}, "advice": "<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>", "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}]}]}], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}]}