// Numbas version: finer_feedback_settings
{"name": "Simon's copy of Mean, Median, Mode for Auto", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"advice": "<p><strong>(a)</strong></p>\n<p>There are 7 datapoints so the mean is</p>\n<p>$\\frac{\\var{a2}+\\var{a7}+\\var{a1}+\\var{a5}+ \\var{a3}+ \\var{a6}+\\var{a4}}{7}=\\var{precround((a1+a2+a3+a4+a5+a6+a7)/7,2)}$</p>\n<p></p>\n<p><strong>(b)</strong></p>\n<p>To find the median, we first put our values in order:</p>\n<p>$\\var{a1},\\var{a2},\\var{a3},\\var{a4},\\var{a5},\\var{a6},\\var{a7}$</p>\n<p>Then the middle value is $\\var{a4}$</p>\n<p></p>\n<p><strong>(c)</strong></p>\n<p>The mode is $\\var{a2}$ as it is the only value which appears twice.</p>", "statement": "<p>The fuel emissions (in g/km of CO2) of a sample of 7&nbsp;diesel cars of similar type have been recorded as follows:</p>\n<p>$\\var{a2}, \\var{a7}, \\var{a1}, \\var{a5}, \\var{a3}, \\var{a6}$ and $\\var{a4}$.</p>\n<p>Calculate the mean, median and mode of these emissions.<br/><br/></p>", "preamble": {"js": "", "css": ""}, "variables": {"a2": {"definition": "random(116..121)", "name": "a2", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "a5": {"definition": "random(126..128)", "name": "a5", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "a3": {"definition": "a2", "name": "a3", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "a7": {"definition": "random(131..140)", "name": "a7", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "a1": {"definition": "random(110..115)", "name": "a1", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "a6": {"definition": "random(129..130)", "name": "a6", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "a4": {"definition": "random(122..125)", "name": "a4", "templateType": "anything", "description": "", "group": "Ungrouped variables"}}, "variable_groups": [], "ungrouped_variables": ["a1", "a3", "a2", "a5", "a4", "a7", "a6"], "parts": [{"extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "unitTests": [], "prompt": "<p>$\\text{mean}=\\;\\;$[[0]] (correct to two decimal places)</p>", "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "gapfill", "sortAnswers": false, "marks": 0, "variableReplacements": [], "gaps": [{"vsetRange": [0, 1], "extendBaseMarkingAlgorithm": true, "expectedVariableNames": [], "showCorrectAnswer": true, "failureRate": 1, "vsetRangePoints": 5, "unitTests": [], "variableReplacementStrategy": "originalfirst", "showPreview": true, "scripts": {}, "answerSimplification": "std", "type": "jme", "marks": 2, "checkingType": "absdiff", "variableReplacements": [], "checkVariableNames": false, "customMarkingAlgorithm": "", "answer": "{precround(1/7*(a1+a2+a3+a4+a5+a6+a7),2)}", "showFeedbackIcon": true, "checkingAccuracy": 0.01}], "customMarkingAlgorithm": "", "showFeedbackIcon": true}, {"extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "unitTests": [], "prompt": "<p>$\\text{median}=\\;\\;$[[0]]</p>", "variableReplacementStrategy": "originalfirst", "stepsPenalty": "1", "scripts": {}, "type": "gapfill", "sortAnswers": false, "marks": 0, "variableReplacements": [], "gaps": [{"extendBaseMarkingAlgorithm": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "allowFractions": false, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{a4}", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "mustBeReduced": false, "marks": 2, "correctAnswerStyle": "plain", "variableReplacements": [], "mustBeReducedPC": 0, "minValue": "{a4}", "customMarkingAlgorithm": "", "showFeedbackIcon": true}], "customMarkingAlgorithm": "", "showFeedbackIcon": true, "steps": [{"variableReplacements": [], "prompt": "<p>To find the median:</p>\n<p>List the numbers in order of increasing size.&nbsp;</p>\n<p>The median is then the middle number. If there are two middle numbers, we take the mean of these two.</p>", "extendBaseMarkingAlgorithm": true, "type": "information", "marks": 0, "showCorrectAnswer": true, "scripts": {}, "unitTests": [], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true}]}, {"extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "unitTests": [], "prompt": "<p>$\\text{mode}=\\;\\;$[[0]]</p>", "variableReplacementStrategy": "originalfirst", "stepsPenalty": "1", "scripts": {}, "type": "gapfill", "sortAnswers": false, "marks": 0, "variableReplacements": [], "gaps": [{"extendBaseMarkingAlgorithm": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "allowFractions": false, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{a2}", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "mustBeReduced": false, "marks": 2, "correctAnswerStyle": "plain", "variableReplacements": [], "mustBeReducedPC": 0, "minValue": "{a2}", "customMarkingAlgorithm": "", "showFeedbackIcon": true}], "customMarkingAlgorithm": "", "showFeedbackIcon": true, "steps": [{"variableReplacements": [], "prompt": "<p>The mode is the number that occurs most often.</p>", "extendBaseMarkingAlgorithm": true, "type": "information", "marks": 0, "showCorrectAnswer": true, "scripts": {}, "unitTests": [], "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true}]}], "extensions": ["stats"], "name": "Simon's copy of Mean, Median, Mode for Auto", "functions": {}, "rulesets": {"std": ["all", "!collectNumbers", "!noLeadingMinus"]}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<div class=\"description\">\n<p>Topics covered are calculating the mean, median, mode and standard deviation.</p>\n<p>rebelmaths</p>\n</div>"}, "tags": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "type": "question", "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}]}