// Numbas version: finer_feedback_settings
{"name": "Understanding the normal distribution", "extensions": ["geogebra"], "custom_part_types": [], "resources": [["question-resources/NormalAround110.jpg", "NormalAround110.jpg"], ["question-resources/NormalAround110_shaded.jpg", "NormalAround110_shaded.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Understanding the normal distribution", "tags": [], "metadata": {"description": "<p>A 'concept test'.&nbsp; 3 multiple choice questions about a graphed normal distribution curve modelling IQ data.</p>", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "<p>{geogebra_applet('https://www.geogebra.org/m/rqcxwdjq',[MeanA: {MeanA},StDevA:{StdDevA}])}</p>\n<p>The normal curve above is used to model the distribution of IQ in a sample of {S} university students.</p>", "advice": "<p>Part (c)</p>\n<p><img src=\"resources/question-resources/NormalAround110_shaded.jpg\"/></p>", "rulesets": {}, "extensions": ["geogebra"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"meana": {"name": "meana", "group": "Ungrouped variables", "definition": "random(90..120)", "description": "", "templateType": "anything", "can_override": false}, "stdeva": {"name": "stdeva", "group": "Ungrouped variables", "definition": "random(5..meana/10)", "description": "", "templateType": "anything", "can_override": false}, "stddeva": {"name": "stddeva", "group": "Ungrouped variables", "definition": "stdeva", "description": "", "templateType": "anything", "can_override": false}, "S": {"name": "S", "group": "Ungrouped variables", "definition": "random(50..120 except(100))*2", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["meana", "stdeva", "stddeva", "S"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the mean IQ in the sample?</p>", "minValue": "MeanA-1", "maxValue": "MeanA+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>How many students in the sample have an IQ higher than the mean?</p>", "minValue": "S/2", "maxValue": "S/2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>0.68 of the total area underneath the curve is between {{MeanA}-{StDevA}} and {{MeanA}+{StDevA}}. 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