// Numbas version: finer_feedback_settings
{"name": "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": [{"showQuestionGroupNames": false, "type": "question", "rulesets": {}, "name": "Stem and Leaf plot", "extensions": ["stats"], "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}, 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true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[1][0]}", "showPrecisionHint": false, "maxValue": "{u[1][0]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[1][1]}", "showPrecisionHint": false, "maxValue": "{u[1][1]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[1][2]}", "showPrecisionHint": false, "maxValue": "{u[1][2]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[1][3]}", "showPrecisionHint": false, "maxValue": "{u[1][3]}", "showCorrectAnswer": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "marks": 0.2}, {"allowFractions": false, "minValue": "{u[1][4]}", "showPrecisionHint": false, "maxValue": "{u[1][4]}", "showCorrectAnswer": true, "type": "numberentry", "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": [], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}]}