s":1,"description":"Compares the interquartile ranges, stating Maths is more consistent or Science is more spread out.","code":"B"}],"finalAnswers":[],"generatedAt":"2026-05-07T01:56:10.742Z","modelVersion":"gemini-3-flash-preview"}}],"options":[]},{"id":"04cdd637-0e50-4fdd-8b2f-7c64470a9b8b","revisionId":"7db3cf43-6b18-4a74-9a86-3afdf40daffb","questionNumber":"2","questionType":"LA","specification":"Here are the points that Carmelo scored in his last 11 basketball games.\n\n23 20 14 23 17 24 24 18 16 22 21","difficulty":1,"totalMarks":4,"sourceTitle":"Data","parts":[{"id":"ba751373-b478-4ed8-bb06-64d64cbe023f","label":"a","content":"Find the interquartile range of these points.","markscheme":"- Order the data: 14, 16, 17, 18, 20, 21, 22, 23, 23, 24, 24 M1\n- Identify $LQ = 17$ and $UQ = 23$ M1\n- $23 - 17 = 6$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Orders the list of 11 values correctly.","code":"M"},{"id":"p2","marks":1,"description":"Identifies the lower quartile (17) and upper quartile (23).","code":"M"},{"id":"p3","marks":1,"description":"Calculates the interquartile range as 6.","code":"A"}],"finalAnswers":["6"],"generatedAt":"2026-05-07T01:56:10.742Z","modelVersion":"gemini-3-flash-preview"}},{"id":"cef7f263-51cd-4b44-8544-a12ed01572b1","label":"b","content":"Kobe also plays basketball.\n\nThe median number of points Kobe has scored in his last 11 games is 18.5\n\nThe interquartile range of Kobe's points is 10\n\nWhich of Carmelo or Kobe is the more consistent points scorer?\n\nGive a reason for your answer.","markscheme":"- Carmelo, because he has a lower interquartile range (6 compared to 10). B1","marks":1,"order":1,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"States Carmelo and provides a reason based on the lower IQR.","code":"B"}],"finalAnswers":["Carmelo"],"generatedAt":"2026-05-07T01:56:10.742Z","modelVersion":"gemini-3-flash-preview"}}],"options":[]},{"id":"d00239ee-b39a-45fb-b970-14f8eb4b766e","revisionId":"27e9973f-a8ce-4a3e-a5d3-5b2e460bfdfd","questionNumber":"3","questionType":"LA","specification":"The students in Class A and in Class B take the same examination.\n\nThere are 28 students in Class A and 32 students in Class B.\n\nThe mean score for all the students in both classes is 72.6\n\nThe mean score for the students in Class A is 75","difficulty":2,"totalMarks":7,"sourceTitle":"Data","parts":[{"id":"7d92a3e6-a311-4d06-a322-c2955ce52881","label":"a","content":"Work out the mean score for the students in Class B.","markscheme":"- Total students = $28 + 32 = 60$ M1\n- Total score for all = $72.6 \\times 60 = 4356$ M1\n- Total score for Class A = $75 \\times 28 = 2100$ M1\n- Total score for Class B = $4356 - 2100 = 2256$\n- Mean for Class B = $2256 \\div 32 = 70.5$ A1","marks":4,"order":0,"markingRubric":{"totalMarks":4,"points":[{"id":"p1","marks":1,"description":"Calculates the total number of students (60).","code":"M"},{"id":"p2","marks":1,"description":"Calculates the combined total score (4356).","code":"M"},{"id":"p3","marks":1,"description":"Calculates the total score for Class A (2100) and subtracts to find Class B total (2256).","code":"M"},{"id":"p4","marks":1,"description":"Divides Class B total by 32 to get 70.5.","code":"A"}],"finalAnswers":["70.5"],"generatedAt":"2026-05-07T01:56:10.742Z","modelVersion":"gemini-3-flash-preview"}},{"id":"e462f95e-4b23-426d-8308-fe6996928073","label":"b","content":"The lowest score in Class A is 39\n\nThe range of scores for Class A is 57\n\nThe lowest score in Class B is 33\n\nThe range of scores for Class B is 60\n\nFind the range of scores for all the students in both classes.","markscheme":"- Highest score in Class A = $39 + 57 = 96$ M1\n- Highest score in Class B = $33 + 60 = 93$\n- Overall highest = 96; Overall lowest = 33 M1\n- Overall range = $96 - 33 = 63$ A1","marks":3,"order":1,"marking