// Numbas version: exam_results_page_options
{"name": "MSS - Median Calculation", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "MSS - Median Calculation", "tags": [], "metadata": {"description": "<p>Students are shown an unsorted list of 6 or 7 numbers and asked to calculate the median.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Below is a set of $\\var{question_numbercount}$ numbers.</p>\n<p style=\"text-align: center;\">$\\var{set(question_numberset)}$</p>", "advice": "<p>To calculate the median we arrange the numbers in order,&nbsp;</p>\n<p>$\\var{sorted_numberset}$</p>\n<p>and find the middle number.</p>\n<p><span data-jme-visible=\"question_numbercount=7\">There are $7$ numbers so the median is the value in the $4^{th}$ position, which is $\\var{question_median}$.</span></p>\n<p><span data-jme-visible=\"question_numbercount=6\">There are $6$ numbers so the median is the value in the $3.5^{th}$ position. This is the value halfway between $\\var{sorted_numberset[2]}$ and $\\var{sorted_numberset[3]}$.</span></p>\n<p><span data-jme-visible=\"question_numbercount=6\">We can calculate this as the average of $\\var{sorted_numberset[2]}$ and $\\var{sorted_numberset[3]}$ : median = $\\dfrac{\\var{sorted_numberset[2]}+\\var{sorted_numberset[3]}}{2} = \\var{question_median}$.</span></p>", "rulesets": {}, "extensions": ["stats"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"question_numbercount": {"name": "question_numbercount", "group": "Ungrouped variables", "definition": "random(6 .. 7#1)", "description": "", "templateType": "randrange", "can_override": false}, "question_numberset": {"name": "question_numberset", "group": "Ungrouped variables", "definition": "shuffle(0..30)[0..question_numbercount]", "description": "", "templateType": "anything", "can_override": false}, "question_median": {"name": "question_median", "group": "Ungrouped variables", "definition": "median(question_numberset)", "description": "", "templateType": "anything", "can_override": false}, "sorted_numberset": {"name": "sorted_numberset", "group": "Ungrouped variables", "definition": "sort(question_numberset)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["question_numbercount", "question_numberset", "question_median", "sorted_numberset"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Calculating Median", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p style=\"text-align: left;\">Calculate the median of this set and enter it below.</p>\n<p style=\"text-align: left;\">Median: [[0]]</p>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Median", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "alternatives": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "mark:\n  correctif([[0]] = question_median)\n\ninterpreted_answer:\n  studentAnswer", "extendBaseMarkingAlgorithm": false, "unitTests": [], "alternativeFeedbackMessage": "", "useAlternativeFeedback": false, "minValue": "question_median", "maxValue": "question_median", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "minValue": "question_median", "maxValue": "question_median", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}, {"name": "Brent Le Cornu", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/18260/"}]}]}], "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}, {"name": "Brent Le Cornu", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/18260/"}]}