// Numbas version: finer_feedback_settings
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If not, consider them different.&nbsp;</li>\n<li>Keep 2 decimals</li>\n</ul>", "advice": "<p>No solution available</p>", "rulesets": {}, "extensions": ["stats"], "variables": {"city": {"name": "city", "group": "Ungrouped variables", "definition": "random(\"Paris\", \"Rome\", \"Berlin\", \"Brussels\", \"Amsterdam\", \"Prague\")", "description": "", "templateType": "anything"}, "av": {"name": "av", "group": "Ungrouped variables", "definition": "mean(datac)", "description": "", "templateType": "anything"}, "sd": {"name": "sd", "group": "Ungrouped variables", "definition": "stdev(datac)", "description": "", "templateType": "anything"}, "sd1": {"name": "sd1", "group": "Ungrouped variables", "definition": "stdev(datac)*sqrt(15/14)", "description": "", "templateType": "anything"}, "tm": {"name": "tm", "group": "Ungrouped variables", "definition": "random(115..135)", "description": "", "templateType": "anything"}, "tsd": {"name": "tsd", "group": "Ungrouped variables", "definition": "int+dec*10^(-1)", "description": "", "templateType": "anything"}, "int": {"name": "int", "group": "Ungrouped variables", "definition": "random(5..10)", "description": "", "templateType": "anything"}, "dec": {"name": "dec", "group": "Ungrouped variables", "definition": "random(1..9)", "description": "", "templateType": "anything"}, "data1": {"name": "data1", "group": "Ungrouped variables", "definition": "repeat(precround(normalsample(tm-tsd,tsd/2),2),11)", "description": "", "templateType": "anything"}, "data2": {"name": "data2", "group": "Ungrouped variables", "definition": "repeat(precround(normalsample(tm+1.5*tsd,tsd),2),4)", "description": "", "templateType": "anything"}, "datac": {"name": "datac", "group": "Ungrouped variables", "definition": "data1+data2", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "length(mean(datac)-median(datac)) >= 1.5", "maxRuns": "100"}, "ungrouped_variables": ["tm", "int", "dec", "tsd", "city", "av", "sd", "sd1", "data1", "data2", "datac"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Question 1: Measures", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>For the following question, you might use&nbsp;google sheet or do it by hand, whichever you are most comfortable. (If you use google sheet, provide the link to your spreadsheet)</p>\n<p>a) What is the mean of the sample? $\\bar{x}=$&nbsp;[[0]]</p>\n<p>b) What is the median of the sample?&nbsp;[[1]]</p>\n<p>c) What is the standard deviation of the sample? $s=$[[2]]</p>\n<p>d) Using the information you found out, should you assume the population follows a normal distribution or a skewed distribution?&nbsp;[[3]]</p>\n<p>e) Given this information, which measure of central tendency is the most representative?&nbsp;[[4]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "av-0.2", "maxValue": "av+0.2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "median(datac)-0.5", "maxValue": "median(datac)+0.5", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "sd-0.2", "maxValue": "sd1+0.2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": false, "choices": ["Normal", "Skewed"], "matrix": ["0", "2"], "distractors": ["", ""]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": false, "choices": ["The mean", "The median", "Both the mean and the median"], "matrix": ["0", "1", "0"], "distractors": ["", "", ""]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Question 2: Rules", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Fill the blanks:</p>\n<p>Using [[0]], I find out that&nbsp;[[1]]&nbsp;[[2]]% (&lt;--write percentage) of the data is within&nbsp;<strong>two standard deviations</strong> from the mean. In other words,&nbsp;[[2]]% of the data is contained in the interval: [[[3]],[[4]]]</p>", "gaps": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": false, "choices": ["the Empirical Rule", "Chebyshev's Rule"], "matrix": ["0", "1"], "distractors": ["", ""]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": false, "choices": ["approximately", "at least"], "matrix": ["0", "1"], "distractors": ["", ""]}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "75", "maxValue": "75", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [{"variable": "av", "part": "p0g0", "must_go_first": true}, {"variable": "sd", "part": "p0g2", "must_go_first": true}], "variableReplacementStrategy": "alwaysreplace", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "av-2*sd-0.2", "maxValue": "av-2*sd+0.2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": false, "showFeedbackIcon": false, "scripts": {}, "variableReplacements": [{"variable": "av", "part": "p0g0", "must_go_first": true}, {"variable": "sd", "part": "p0g2", "must_go_first": true}], "variableReplacementStrategy": "alwaysreplace", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "av+2*sd-0.2", "maxValue": "av+2*sd+0.2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "type": "question", "contributors": [{"name": "Kariane Ouellet", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4505/"}]}]}], "contributors": [{"name": "Kariane Ouellet", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4505/"}]}