// Numbas version: exam_results_page_options
{"name": "Calculate mean, median, mode, range, and standard deviation of a sample", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "variables": {"range": {"templateType": "anything", "group": "Ungrouped variables", "definition": "range(number_list)", "description": "", "name": "range"}, "stdev": {"templateType": "anything", "group": "Ungrouped variables", "definition": "stdev(number_list,true)", "description": "", "name": "stdev"}, "median": {"templateType": "anything", "group": "Ungrouped variables", "definition": "median(number_list)", "description": "", "name": "median"}, "mode": {"templateType": "anything", "group": "Ungrouped variables", "definition": "mode(number_list)", "description": "", "name": "mode"}, "mean": {"templateType": "anything", "group": "Ungrouped variables", "definition": "mean(number_list)", "description": "", "name": "mean"}, "number_list": {"templateType": "anything", "group": "Ungrouped variables", "definition": "shuffle(tmp_list+tmp_list[random(0..5)])", "description": "", "name": "number_list"}, "tmp_list": {"templateType": "anything", "group": "Ungrouped variables", "definition": "[random(-9..-7), random(-6..-4), random(-3..-1), random(1..3), random(4..6), random(7..9)]", "description": "", "name": "tmp_list"}}, "ungrouped_variables": ["number_list", "median", "tmp_list", "range", "mode", "stdev", "mean"], "question_groups": [{"pickingStrategy": "all-ordered", "questions": [], "name": "", "pickQuestions": 0}], "name": "Calculate mean, median, mode, range, and standard deviation of a sample", "functions": {}, "showQuestionGroupNames": false, "parts": [{"scripts": {}, "gaps": [{"precisionPartialCredit": 0, "allowFractions": false, "correctAnswerFraction": false, "minValue": "mean-0.001", "maxValue": "mean+0.001", "precision": 3, "type": "numberentry", "precisionType": "dp", "showPrecisionHint": false, "strictPrecision": false, "scripts": {}, "precisionMessage": "You have not given your answer to the correct precision.", "showCorrectAnswer": true, "marks": 1}], "type": "gapfill", "prompt": "<p>Mean=[[0]] (Enter your answer to 3d.p.)</p>", "showCorrectAnswer": true, "marks": 0}, {"scripts": {}, "gaps": [{"type": "numberentry", "correctAnswerFraction": false, "showCorrectAnswer": true, "allowFractions": false, "scripts": {}, "integerAnswer": true, "integerPartialCredit": 0, "minValue": "median", "maxValue": "median", "marks": 1, "showPrecisionHint": false}], "type": "gapfill", "prompt": "<p>Median=[[0]]</p>", "showCorrectAnswer": true, "marks": 0}, {"scripts": {}, "gaps": [{"type": "numberentry", "correctAnswerFraction": false, "showCorrectAnswer": true, "allowFractions": false, "scripts": {}, "integerAnswer": true, "integerPartialCredit": 0, "minValue": "mode[0]", "maxValue": "mode[0]", "marks": 1, "showPrecisionHint": false}], "type": "gapfill", "prompt": "<p>Mode=[[0]]</p>", "showCorrectAnswer": true, "marks": 0}, {"scripts": {}, "gaps": [{"type": "numberentry", "correctAnswerFraction": false, "showCorrectAnswer": true, "allowFractions": false, "scripts": {}, "integerAnswer": true, "integerPartialCredit": 0, "minValue": "range", "maxValue": "range", "marks": 1, "showPrecisionHint": false}], "type": "gapfill", "prompt": "<p>Range=[[0]]</p>", "showCorrectAnswer": true, "marks": 0}, {"scripts": {}, "gaps": [{"precisionPartialCredit": 0, "allowFractions": false, "correctAnswerFraction": false, "minValue": "stdev-0.001", "maxValue": "stdev+0.001", "precision": 3, "type": "numberentry", "precisionType": "dp", "showPrecisionHint": false, "strictPrecision": false, "scripts": {}, "precisionMessage": "You have not given your answer to the correct precision.", "showCorrectAnswer": true, "marks": 1}], "type": "gapfill", "prompt": "<p>Standard deviation=[[0]]&nbsp;(Enter your answer to 3d.p.)</p>", "showCorrectAnswer": true, "marks": 0}], "statement": "<p>Calculate the <strong>mean</strong>, <strong>median</strong>, <strong>mode</strong>,&nbsp;<strong>range</strong>, and <strong>standard deviation </strong>of the following set of numbers:</p>\n<p>\\[\\var{rowvector(number_list)}\\]</p>", "tags": ["ACC1012", "acc1012", "checked2015", "median", "mode", "range", "sample mean", "standard deviation", "statistics"], "rulesets": {}, "preamble": {"css": "", "js": ""}, "type": "question", "metadata": {"notes": "<p><strong>29/11/2013</strong></p>\n<p>Compute sample standard deviation, not population. (AJY)</p>\n<p><strong>28/11/2013</strong></p>\n<p>Complete overhaul. (AJY)</p>\n<p><strong>23/07/2013:</strong></p>\n<p>Question created. Tags added.<strong></strong></p>", "licence": "Creative Commons Attribution 4.0 International", "description": "<div class=\"description\">\n<p>Topics covered are calculating the mean, median, mode, range, and standard deviation.</p>\n</div>"}, "variablesTest": {"condition": "", "maxRuns": 100}, "advice": "<p>a)</p>\n<p>The <strong>mean</strong> of a set of numbers $\\left(x_1,\\ldots,x_N\\right)$ is given by</p>\n<p>\\[\\mu = \\frac{1}{N}\\sum_{i=1}^N x_i.\\]</p>\n<p></p>\n<p>b)</p>\n<p>The <strong>median</strong> is the middle value when the set of numbers is ordered.</p>\n<p></p>\n<p>c)</p>\n<p>The <strong>mode</strong> is the most common value in the set.</p>\n<p></p>\n<p>d)</p>\n<p>The&nbsp;<strong>range</strong> is the difference between the maximum value and the minimum value in the set.</p>\n<p></p>\n<p>e)</p>\n<p>The <strong>standard deviation</strong> is given by</p>\n<p>\\[\\sigma = \\sqrt{ \\frac{1}{N-1} \\left[ \\sum_{i=1}^N x_i^2 \\right] - \\mu^2}.\\]</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/"}]}