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{"name": "Charlie's copy of 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": [{"parts": [{"gaps": [{"minValue": "mean-0.001", "strictPrecision": false, "precisionType": "dp", "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "maxValue": "mean+0.001", "mustBeReduced": false, "customName": "", "showCorrectAnswer": true, "customMarkingAlgorithm": "", "unitTests": [], "precisionMessage": "You have not given your answer to the correct precision.", "marks": 1, "mustBeReducedPC": 0, "extendBaseMarkingAlgorithm": true, "precision": 3, "variableReplacements": [], "scripts": {}, "type": "numberentry", 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"mustBeReducedPC": 0}], "extendBaseMarkingAlgorithm": true, "useCustomName": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "gapfill", "showFeedbackIcon": true, "sortAnswers": false, "prompt": "<p>Mode=[[0]]</p>", "customName": "", "showCorrectAnswer": true, "customMarkingAlgorithm": "", "unitTests": [], "marks": 0}, {"gaps": [{"showFractionHint": true, "minValue": "range", "extendBaseMarkingAlgorithm": true, "correctAnswerFraction": false, "useCustomName": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "scripts": {}, "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "type": "numberentry", "maxValue": "range", "allowFractions": false, "mustBeReduced": false, "customName": "", "showCorrectAnswer": true, "customMarkingAlgorithm": "", "unitTests": [], "marks": 1, "mustBeReducedPC": 0}], "extendBaseMarkingAlgorithm": true, "useCustomName": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "gapfill", "showFeedbackIcon": true, "sortAnswers": false, "prompt": "<p>Range=[[0]]</p>", "customName": "", "showCorrectAnswer": true, "customMarkingAlgorithm": "", "unitTests": [], "marks": 0}], "name": "Charlie's copy of John's liquid copy of Calculate mean, median, mode, range, and standard deviation of a sample", "variable_groups": [], "preamble": {"css": "", "js": ""}, "metadata": {"description": "<div class=\"description\">\n<p>Topics covered are calculating the mean, median, mode, range, and standard deviation.</p>\n</div>", "licence": "Creative Commons Attribution 4.0 International"}, "variables": {"number_list": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "shuffle(tmp_list+tmp_list[random(0..5)])", "name": "number_list"}, "stdev": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "stdev(number_list,true)", "name": "stdev"}, "mode": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "mode(number_list)", "name": "mode"}, "tmp_list": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "[random(-9..-7), random(-6..-4), random(-3..-1), random(1..3), random(4..6), random(7..9)]", "name": "tmp_list"}, "mean": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "mean(number_list)", "name": "mean"}, "range": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "range(number_list)", "name": "range"}, "median": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "median(number_list)", "name": "median"}}, "variablesTest": {"maxRuns": 100, "condition": ""}, "rulesets": {}, "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>", "ungrouped_variables": ["number_list", "median", "tmp_list", "range", "mode", "stdev", "mean"], "functions": {}, "tags": [], "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>", "extensions": ["stats"], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Charlie Earle", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3054/"}, {"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": "Charlie Earle", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3054/"}, {"name": "John Wick", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3586/"}]}