// Numbas version: exam_results_page_options
{"name": "John's liquid copy of 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": [{"ungrouped_variables": ["number_list", "median", "tmp_list", "range", "mode", "stdev", "mean"], "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>", "variablesTest": {"condition": "", "maxRuns": 100}, "parts": [{"showCorrectAnswer": true, "customName": "", "type": "gapfill", "customMarkingAlgorithm": "", "sortAnswers": false, "marks": 0, "scripts": {}, "prompt": "<p>Mean=[[0]] (Enter your answer to 3d.p.)</p>", "showFeedbackIcon": true, "gaps": [{"customName": "", "mustBeReducedPC": 0, "notationStyles": ["plain", "en", "si-en"], "customMarkingAlgorithm": "", "marks": 1, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "useCustomName": false, "precisionType": "dp", "precisionPartialCredit": 0, "showCorrectAnswer": true, "scripts": {}, "allowFractions": false, "type": "numberentry", "mustBeReduced": false, "correctAnswerStyle": "plain", "precisionMessage": "You have not given your answer to the correct precision.", "minValue": "mean-0.001", "showPrecisionHint": false, "maxValue": "mean+0.001", "unitTests": [], "strictPrecision": false, "extendBaseMarkingAlgorithm": true, "correctAnswerFraction": false, "precision": 3}], "unitTests": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "useCustomName": false}, {"showCorrectAnswer": true, "customName": "", "type": "gapfill", "customMarkingAlgorithm": "", "sortAnswers": false, "marks": 0, "scripts": {}, "prompt": "<p>Median=[[0]]</p>", "showFeedbackIcon": true, "gaps": [{"showCorrectAnswer": true, "customName": "", "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "type": "numberentry", "customMarkingAlgorithm": "", "mustBeReduced": false, "correctAnswerStyle": "plain", "marks": 1, "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "showFractionHint": true, "showFeedbackIcon": true, "maxValue": "median", "unitTests": [], "minValue": "median", "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "useCustomName": false}], "unitTests": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "useCustomName": false}, {"showCorrectAnswer": true, "customName": "", "type": "gapfill", "customMarkingAlgorithm": "", "sortAnswers": false, "marks": 0, "scripts": {}, "prompt": "<p>Mode=[[0]]</p>", "showFeedbackIcon": true, "gaps": [{"showCorrectAnswer": true, "customName": "", "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "type": "numberentry", "customMarkingAlgorithm": "", "mustBeReduced": false, "correctAnswerStyle": "plain", "marks": 1, "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "showFractionHint": true, "showFeedbackIcon": true, "maxValue": "mode[0]", "unitTests": [], "minValue": "mode[0]", "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "useCustomName": false}], "unitTests": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "useCustomName": false}, {"showCorrectAnswer": true, "customName": "", "type": "gapfill", "customMarkingAlgorithm": "", "sortAnswers": false, "marks": 0, "scripts": {}, "prompt": "<p>Range=[[0]]</p>", "showFeedbackIcon": true, "gaps": [{"showCorrectAnswer": true, "customName": "", "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "type": "numberentry", "customMarkingAlgorithm": "", "mustBeReduced": false, "correctAnswerStyle": "plain", "marks": 1, "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "showFractionHint": true, "showFeedbackIcon": true, "maxValue": "range", "unitTests": [], "minValue": "range", "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "useCustomName": false}], "unitTests": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "useCustomName": false}], "rulesets": {}, "tags": [], "extensions": ["stats"], "preamble": {"js": "", "css": ""}, "functions": {}, "metadata": {"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>"}, "name": "John's liquid copy of Calculate mean, median, mode, range, and standard deviation of a sample", "variable_groups": [], "variables": {"mean": {"name": "mean", "definition": "mean(number_list)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "median": {"name": "median", "definition": "median(number_list)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "range": {"name": "range", "definition": "range(number_list)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "tmp_list": {"name": "tmp_list", "definition": "[random(-9..-7), random(-6..-4), random(-3..-1), random(1..3), random(4..6), random(7..9)]", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "number_list": {"name": "number_list", "definition": "shuffle(tmp_list+tmp_list[random(0..5)])", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "stdev": {"name": "stdev", "definition": "stdev(number_list,true)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "mode": {"name": "mode", "definition": "mode(number_list)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}}, "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>", "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "John Wick", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3586/"}]}]}], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "John Wick", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3586/"}]}