// Numbas version: exam_results_page_options
{"name": "Construct a 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": [], "preamble": {"css": "", "js": ""}, "type": "question", "name": "Construct a stem-and-leaf plot", "parts": [{"type": "gapfill", "showCorrectAnswer": true, "showFeedbackIcon": true, "unitTests": [], "gaps": [{"correctAnswerFraction": false, "mustBeReduced": false, "type": "numberentry", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "unitTests": [], "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "allowFractions": false, "scripts": {}, "minValue": "{u[0][0]}", "maxValue": "{u[0][0]}", "marks": 0.2, "variableReplacements": [], 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"customMarkingAlgorithm": ""}, {"correctAnswerFraction": false, "mustBeReduced": false, "type": "numberentry", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "unitTests": [], "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "allowFractions": false, "scripts": {}, "minValue": "{u[1][0]}", "maxValue": "{u[1][0]}", "marks": 0.2, "variableReplacements": [], "customMarkingAlgorithm": ""}, {"correctAnswerFraction": false, "mustBeReduced": false, "type": "numberentry", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "unitTests": [], "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "allowFractions": false, "scripts": {}, "minValue": "{u[1][1]}", "maxValue": "{u[1][1]}", "marks": 0.2, "variableReplacements": [], "customMarkingAlgorithm": ""}, {"correctAnswerFraction": false, "mustBeReduced": false, "type": "numberentry", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "unitTests": [], "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "allowFractions": false, "scripts": {}, "minValue": "{u[1][2]}", "maxValue": "{u[1][2]}", "marks": 0.2, "variableReplacements": [], "customMarkingAlgorithm": ""}, {"correctAnswerFraction": false, "mustBeReduced": false, "type": "numberentry", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "unitTests": [], "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "allowFractions": false, "scripts": {}, "minValue": "{u[1][3]}", "maxValue": "{u[1][3]}", "marks": 0.2, "variableReplacements": [], "customMarkingAlgorithm": ""}, {"correctAnswerFraction": false, "mustBeReduced": false, "type": "numberentry", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "unitTests": [], "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "allowFractions": false, "scripts": {}, "minValue": "{u[1][4]}", "maxValue": "{u[1][4]}", "marks": 0.2, "variableReplacements": [], "customMarkingAlgorithm": ""}], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "sortAnswers": false, "scripts": {}, "marks": 0, "variableReplacements": [], "customMarkingAlgorithm": "", "prompt": "<table border=\"1\">\n<tbody>\n<tr>\n<th>STEM</th>\n<th colspan=\"5\">LEAF</th>\n</tr>\n<tr>\n<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>\n<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</tbody>\n</table>"}], "metadata": {"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.<br />This version of the question asks for 10 fields to be filled rather than the full 25, although the question statement asks for 25. I am sure that the first version asked for all 25.</p>"}, "tags": [], "variables": {"s": {"templateType": "anything", "definition": "flattenint(arr)", "description": "", "name": "s", "group": "Ungrouped variables"}, "ss": {"templateType": "anything", "definition": "shuffle(s)", "description": "", "name": "ss", "group": "Ungrouped variables"}, "r": {"templateType": "anything", "definition": "shuffle([random(1..4),random(4..5),random(3..5),random(3..5),random(2..4)])", "description": "", "name": "r", "group": "Ungrouped variables"}, "arr": {"templateType": "anything", "definition": "map(sort(repeat(10*y+random(0..9),r[y-v])),y,v..v+4)", "description": "", "name": "arr", "group": "Ungrouped variables"}, "darr1": {"templateType": "anything", "definition": "map(['$'+(v+y)+'$'+ ':']+arr1[y],y,0..4)", "description": "", "name": "darr1", "group": "Ungrouped variables"}, "u": {"templateType": "anything", "definition": "map(map(if(p<r[y],arr1[y][p],-1),p,0..4),y,0..4)", "description": "", "name": "u", "group": "Ungrouped variables"}, "arr1": {"templateType": "anything", "definition": "map(map(arr[y][p]-10*(y+v),p,0..r[y]-1),y,0..4)", "description": "", "name": "arr1", "group": "Ungrouped variables"}, "v": {"templateType": "anything", "definition": "random(0..4)", "description": "", "name": "v", "group": "Ungrouped variables"}}, "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "functions": {"flattenint": {"language": "javascript", "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", "type": "list"}}, "ungrouped_variables": ["arr", "ss", "s", "darr1", "u", "arr1", "v", "r"], "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", "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", "extensions": ["stats"], "contributors": [{"name": "Bill Foster", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/6/"}, {"name": "Chris Graham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/369/"}]}]}], "contributors": [{"name": "Bill Foster", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/6/"}, {"name": "Chris Graham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/369/"}]}