// Numbas version: exam_results_page_options
{"name": "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": [{"variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"js": "", "css": ""}, "tags": ["halesowen college", "median", "mode", "rebel", "Rebel", "REBEL", "rebelmaths", "sample mean", "standard deviation", "statistics", "teame"], "ungrouped_variables": ["a1", "a3", "a2", "a5", "a4", "a7", "a6"], "question_groups": [{"pickingStrategy": "all-ordered", "questions": [], "pickQuestions": 0, "name": ""}], "type": "question", "rulesets": {"std": ["all", "!collectNumbers", "!noLeadingMinus"]}, "variable_groups": [], "advice": "<p>Mean: Add up all the numbers and divide by the number of numbers.</p>\n<p>Median: middle value</p>\n<p>Mode: most common value</p>\n<p></p>", "parts": [{"scripts": {}, "variableReplacements": [], "prompt": "<p>$\\text{mean}=\\;\\;$[[0]] (correct to two decimal places)</p>", "stepsPenalty": "1", "variableReplacementStrategy": "originalfirst", "gaps": [{"expectedvariablenames": [], "answer": "{precround(1/7*(a1+a2+a3+a4+a5+a6+a7),2)}", "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "vsetrange": [0, 1], "showpreview": true, "checkingaccuracy": 0.01, "scripts": {}, "variableReplacements": [], "answersimplification": "std", "checkvariablenames": false, "showCorrectAnswer": true, "marks": 2, "type": "jme", "checkingtype": "absdiff"}], "showCorrectAnswer": true, "marks": 0, "type": "gapfill", "steps": [{"scripts": {}, "variableReplacements": [], "prompt": "<p>To find the mean:</p>\n<p>1. Add up all the numbers.</p>\n<p>2. Divide by the number of numbers.</p>", "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "marks": 0, "type": "information"}]}, {"scripts": {}, "variableReplacements": [], "prompt": "<p>$\\text{median}=\\;\\;$[[0]]</p>", "stepsPenalty": "1", "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "type": "numberentry", "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "marks": 2, "showCorrectAnswer": true, "minValue": "{a4}", "scripts": {}, "showPrecisionHint": false, "maxValue": "{a4}"}], "showCorrectAnswer": true, "marks": 0, "type": "gapfill", "steps": [{"scripts": {}, "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.</p>", "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "marks": 0, "type": "information"}]}, {"scripts": {}, "variableReplacements": [], "prompt": "<p>$\\text{mode}=\\;\\;$[[0]]</p>", "stepsPenalty": "1", "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "type": "numberentry", "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "marks": 2, "showCorrectAnswer": true, "minValue": "{a2}", "scripts": {}, "showPrecisionHint": false, "maxValue": "{a2}"}], "showCorrectAnswer": true, "marks": 0, "type": "gapfill", "steps": [{"scripts": {}, "variableReplacements": [], "prompt": "<p>The mode is the number that occurs most often.</p>", "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "marks": 0, "type": "information"}]}], "showQuestionGroupNames": false, "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>", "variables": {"a7": {"description": "", "group": "Ungrouped variables", "name": "a7", "definition": "random(131..140)", "templateType": "anything"}, "a2": {"description": "", "group": "Ungrouped variables", "name": "a2", "definition": "random(116..121)", "templateType": "anything"}, "a6": {"description": "", "group": "Ungrouped variables", "name": "a6", "definition": "random(126..130)", "templateType": "anything"}, "a1": {"description": "", "group": "Ungrouped variables", "name": "a1", "definition": "random(110..115)", "templateType": "anything"}, "a5": {"description": "", "group": "Ungrouped variables", "name": "a5", "definition": "random(126..130 except a6)", "templateType": "anything"}, "a4": {"description": "", "group": "Ungrouped variables", "name": "a4", "definition": "random(122..125)", "templateType": "anything"}, "a3": {"description": "", "group": "Ungrouped variables", "name": "a3", "definition": "a2", "templateType": "anything"}}, "metadata": {"description": "<div class=\"description\">\n<p>Topics covered are calculating the mean, median, mode and standard deviation.</p>\n<p>rebelmaths</p>\n</div>", "licence": "Creative Commons Attribution 4.0 International"}, "functions": {}, "extensions": ["stats"], "name": "Mean, Median, Mode for Auto", "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/"}]}