// Numbas version: finer_feedback_settings
{"name": "Simon's copy of Mean, Median, Mode and Standard Deviation", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"ungrouped_variables": ["a1", "a3", "a2", "a5", "a4", "a7", "a6"], "statement": "<p>Calculate the mean, median, mode and standard deviation of the following set of numbers:</p>\n  <p>$\\var{a1}, \\var{a2}, \\var{a3}, \\var{a4}, \\var{a5}, \\var{a6}, \\var{a7}$ .</p>\n  <p><br/>Enter you answers as decimals to 2 decimal places.</p>", "question_groups": [{"questions": [], "pickingStrategy": "all-ordered", "name": "", "pickQuestions": 0}], "variables": {"a2": {"definition": "random(-10..-6)", "name": "a2", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "a5": {"definition": "random(4..10 except a4)", "name": "a5", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "a3": {"definition": "random(1..3)", "name": "a3", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "a4": {"definition": "random(4..10)", "name": "a4", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "a1": {"definition": "random(-5..0)", "name": "a1", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "a6": {"definition": "random(-5..0 except a1)", "name": "a6", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "a7": {"definition": "a3", "name": "a7", "templateType": "anything", "description": "", "group": "Ungrouped variables"}}, "variable_groups": [], "tags": ["halesowen college", "median", "mode", "REBEL", "rebel", "Rebel", "rebelmaths", "sample mean", "standard deviation", "statistics", "teame"], "showQuestionGroupNames": false, "name": "Simon's copy of Mean, Median, Mode and Standard Deviation", "type": "question", "preamble": {"js": "", "css": ""}, "functions": {}, "advice": "<p>Mean: $\\mu = \\frac{1}{N}\\sum\\limits_{i=1}^N x_i$</p>\n<p>Median: middle value</p>\n<p>Mode: most common value</p>\n<p>Standard deviation: $\\sigma = \\sqrt{ \\frac{\\sum_{i=1}^N (x_i-\\mu)^2}{N}}$</p>", "extensions": ["stats"], "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>"}, "parts": [{"variableReplacements": [], "gaps": [{"checkingtype": "absdiff", "vsetrange": [0, 1], "showCorrectAnswer": true, "checkingaccuracy": 0.01, "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "expectedvariablenames": [], "scripts": {}, "vsetrangepoints": 5, "answersimplification": "std", "marks": 2, "variableReplacements": [], "type": "jme", "showpreview": true, "answer": "{precround(1/7*(a1+a2+a3+a4+a5+a6+a7),2)}"}], "marks": 0, "showCorrectAnswer": true, "scripts": {}, "type": "gapfill", "prompt": "<p>$\\text{mean}=\\;\\;$[[0]]</p>", "variableReplacementStrategy": "originalfirst"}, {"variableReplacements": [], "gaps": [{"showPrecisionHint": false, "precisionType": "dp", "marks": 2, "allowFractions": false, "precisionMessage": "You have not given your answer to the correct precision.", "variableReplacementStrategy": "originalfirst", "maxValue": "{a3}", "precisionPartialCredit": 0, "type": "numberentry", "showCorrectAnswer": true, "scripts": {}, "correctAnswerFraction": false, "variableReplacements": [], "minValue": "{a3}", "strictPrecision": false, "precision": "2"}], "marks": 0, "showCorrectAnswer": true, "scripts": {}, "type": "gapfill", "prompt": "<p>$\\text{median}=\\;\\;$[[0]]</p>", "variableReplacementStrategy": "originalfirst"}, {"variableReplacements": [], "gaps": [{"showPrecisionHint": false, "correctAnswerFraction": false, "marks": 2, "showCorrectAnswer": true, "scripts": {}, "allowFractions": false, "minValue": "{a3}", "variableReplacementStrategy": "originalfirst", "type": "numberentry", "variableReplacements": [], "maxValue": "{a3}"}], "marks": 0, "showCorrectAnswer": true, "scripts": {}, "type": "gapfill", "prompt": "<p>$\\text{mode}=\\;\\;$[[0]]</p>", "variableReplacementStrategy": "originalfirst"}, {"variableReplacements": [], "gaps": [{"checkingtype": "absdiff", "vsetrange": [0, 1], "showCorrectAnswer": true, "checkingaccuracy": 0.01, "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "expectedvariablenames": [], "scripts": {}, "vsetrangepoints": 5, "answersimplification": "std", "marks": 2, "variableReplacements": [], "type": "jme", "showpreview": true, "answer": "{precround(sqrt(1/7*(a1^2+a2^2+a3^2+a4^2+a5^2+a6^2+a7^2)-(1/7(a1+a2+a3+a4+a5+a6+a7))^2),2)}"}], "marks": 0, "showCorrectAnswer": true, "scripts": {}, "type": "gapfill", "prompt": "<p>$\\text{standard deviation}=\\;\\;$[[0]]</p>", "variableReplacementStrategy": "originalfirst"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "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/"}]}