// 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": [{"name": "Stem and Leaf plot", "statement": "\n
Construct a stem-and-leaf plot for the following data. Input all numbers into the fields below.
\n {table([ss],[])}
\n NOTE: All 25 fields have to be filled in. Input -1 if there is no number in a field.
\n
\n
\n \n", "showQuestionGroupNames": false, "extensions": ["stats"], "type": "question", "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.
\nrebelmaths
"}, "variable_groups": [], "preamble": {"js": "", "css": ""}, "variables": {"arr1": {"name": "arr1", "templateType": "anything", "description": "", "group": "Ungrouped variables", "definition": "map(map(arr[y][p]-10*(y+v),p,0..r[y]-1),y,0..4)"}, "darr1": {"name": "darr1", "templateType": "anything", "description": "", "group": "Ungrouped variables", "definition": "map(['$'+(v+y)+'$'+ ':']+arr1[y],y,0..4)"}, "s": {"name": "s", "templateType": "anything", "description": "", "group": "Ungrouped variables", "definition": "flattenint(arr)"}, "v": {"name": "v", "templateType": "anything", "description": "", "group": "Ungrouped variables", "definition": "random(0..4)"}, "arr": {"name": "arr", "templateType": "anything", "description": "", "group": "Ungrouped variables", "definition": "map(sort(repeat(10*y+random(0..9),r[y-v])),y,v..v+4)"}, "u": {"name": "u", "templateType": "anything", "description": "", "group": "Ungrouped variables", "definition": "map(map(if(p\n\nSTEM | LEAF |
\n$\\var{v}$ | \n[[0]] | \n[[1]] | \n[[2]] | \n[[3]] | \n[[4]] | \n
\n$\\var{v+1}$ | \n[[5]] | \n[[6]] | \n[[7]] | \n[[8]] | \n[[9]] | \n
\n$\\var{v+2}$ | \n[[10]] | \n[[11]] | \n[[12]] | \n[[13]] | \n[[14]] | \n
\n$\\var{v+3}$ | \n[[15]] | \n[[16]] | \n[[17]] | \n[[18]] | \n[[19]] | \n
\n$\\var{v+4}$ | \n[[20]] | \n[[21]] | \n[[22]] | \n[[23]] | \n[[24]] | \n
\n\n\n \n", "scripts": {}, "showCorrectAnswer": true, "type": "gapfill", "gaps": [{"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[0][0]}", "minValue": "{u[0][0]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[0][1]}", "minValue": "{u[0][1]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[0][2]}", "minValue": "{u[0][2]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[0][3]}", "minValue": "{u[0][3]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[0][4]}", "minValue": "{u[0][4]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[1][0]}", "minValue": "{u[1][0]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[1][1]}", "minValue": "{u[1][1]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[1][2]}", "minValue": "{u[1][2]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[1][3]}", "minValue": "{u[1][3]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[1][4]}", "minValue": "{u[1][4]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[2][0]}", "minValue": "{u[2][0]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[2][1]}", "minValue": "{u[2][1]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[2][2]}", "minValue": "{u[2][2]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[2][3]}", "minValue": "{u[2][3]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[2][4]}", "minValue": "{u[2][4]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[3][0]}", "minValue": "{u[3][0]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[3][1]}", "minValue": "{u[3][1]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[3][2]}", "minValue": "{u[3][2]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[3][3]}", "minValue": "{u[3][3]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[3][4]}", "minValue": "{u[3][4]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[4][0]}", "minValue": "{u[4][0]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[4][1]}", "minValue": "{u[4][1]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[4][2]}", "minValue": "{u[4][2]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[4][3]}", "minValue": "{u[4][3]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}, {"correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "allowFractions": false, "showPrecisionHint": false, "showCorrectAnswer": true, "type": "numberentry", "maxValue": "{u[4][4]}", "minValue": "{u[4][4]}", "variableReplacementStrategy": "originalfirst", "marks": 0.2}], "variableReplacementStrategy": "originalfirst", "marks": 0}], "variablesTest": {"condition": "", "maxRuns": 100}, "advice": "\n Ordering the data gives:
\n {table([s],[])}
\n Splitting into the groups of 10s gives
\n {table(arr,[])}
\n Then putting this into stem-and-leaf plot gives
\n {table(darr1,['STEM'])}
\n \n", "functions": {"flattenint": {"type": "list", "parameters": [["a", "list"]], "language": "javascript", "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"}}, "question_groups": [{"name": "", "pickQuestions": 0, "pickingStrategy": "all-ordered", "questions": []}], "rulesets": {}, "ungrouped_variables": ["arr", "ss", "s", "darr1", "u", "arr1", "v", "r"], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}