// Numbas version: finer_feedback_settings
{"name": "Mode, Median, Mean", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"js": "", "css": ""}, "tags": ["descriptive statistics", "mean", "median", "mode", "Rebel", "REBEL", "rebel", "rebelmaths", "statistics", "teame"], "ungrouped_variables": ["dat", "a", "mo", "me", "md"], "question_groups": [{"pickingStrategy": "all-ordered", "questions": [], "pickQuestions": 0, "name": ""}], "type": "question", "rulesets": {}, "variable_groups": [], "advice": "<p>The mean, median and mode are all averages. Each gives us some information about a typical member of a set of data.</p>\n<p>To calculate the&nbsp;<strong>mean</strong>, you need to find the total of all the test scores and divide it by the number of scores -- in this case 10.</p>\n<p>The&nbsp;<strong>median</strong>&nbsp;is the middle score,&nbsp;<em>when the scores are arranged in order.</em>&nbsp;In this case the number of scores is even, so we need to find the mean of the 5th and 6th scores.</p>\n<p>The&nbsp;<strong>mode&nbsp;</strong>is the most frequent score.&nbsp;</p>\n<p>See&nbsp;<b><span style=\"font-size: 11.0pt; line-height: 115%; font-family: 'Calibri','sans-serif'; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-GB; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\"><a href=\"http://www.skillsyouneed.com/num/averages.html\">http://www.skillsyouneed.com/num/averages.html&nbsp;</a>&nbsp;</span></b></p>\n<p>for more information on these three types of average.</p>", "parts": [{"scripts": {}, "variableReplacements": [], "prompt": "<p>{a[0]}, &nbsp;{a[1]}, &nbsp;{a[2]}, {a[3]}, {a[4]}, {a[5]}, {a[6]}, {a[7]}, {a[8]}, {a[9]}</p>\n<p>Mean: [[0]]</p>\n<p>Median: [[1]]</p>\n<p>Mode: [[2]]</p>\n<p>Give your answers to 1 decimal place where appropriate.</p>", "stepsPenalty": "1", "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "type": "numberentry", "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "marks": 1, "showCorrectAnswer": true, "minValue": "me", "scripts": {}, "showPrecisionHint": false, "maxValue": "me"}, {"allowFractions": false, "variableReplacements": [], "type": "numberentry", "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "marks": 1, "showCorrectAnswer": true, "minValue": "md", "scripts": {}, "showPrecisionHint": false, "maxValue": "md"}, {"allowFractions": false, "variableReplacements": [], "type": "numberentry", "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "marks": 1, "showCorrectAnswer": true, "minValue": "mo", "scripts": {}, "showPrecisionHint": false, "maxValue": "mo"}], "showCorrectAnswer": true, "marks": 0, "type": "gapfill", "steps": [{"scripts": {}, "variableReplacements": [], "prompt": "<p>The&nbsp;<strong>median</strong>&nbsp;is the middle score,&nbsp;<em>when the scores are arranged in order.</em>&nbsp;In this case the number of scores is even, so we need to find the mean of the 5th and 6th scores.</p>", "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "marks": 0, "type": "information"}]}], "showQuestionGroupNames": false, "statement": "<p>Find the mean, median and mode of the following 10 test scores.</p>", "variables": {"dat": {"description": "", "group": "Ungrouped variables", "name": "dat", "definition": "satisfy(\n  [a],\n  [\n    //a is given as a list by generating 10 numbers between 4 and 18\n    repeat(random(4..18),10)],\n  [ //the conditions are given to force one mode and a reasonably large variance\n    //to give some variation.\n    length(mode(a))=1,\n    variance(a)>8\n    ],\n  250\n  )", "templateType": "anything"}, "me": {"description": "", "group": "Ungrouped variables", "name": "me", "definition": "mean(a)", "templateType": "anything"}, "mo": {"description": "", "group": "Ungrouped variables", "name": "mo", "definition": "mode(a)[0]", "templateType": "anything"}, "a": {"description": "", "group": "Ungrouped variables", "name": "a", "definition": "dat[0]", "templateType": "anything"}, "md": {"description": "", "group": "Ungrouped variables", "name": "md", "definition": "median(a)", "templateType": "anything"}}, "metadata": {"description": "<p>Find the mean, median and mode of a list of 10 test scores.</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "functions": {"isnotalist": {"parameters": [["a", "list"]], "type": "boolean", "language": "javascript", "definition": "return !Array.isArray(a);"}}, "extensions": ["stats"], "name": "Mode, Median, Mean", "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/"}]}