{"id":"cb_question_bank:52ce32cf-9a25-42ed-9479-44aa74ffaa40","source_id":"cb_question_bank","source_item_id":"52ce32cf-9a25-42ed-9479-44aa74ffaa40","external_id":null,"ibn":"00566-DC","question_id":"1e8ccffd","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.C.","skill":"One-variable data: Distributions and measures of center and spread","difficulty":"H","score_band":6,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?</p>\n","rationale_html":"<p>Choice C is correct. If the mean score of 8 players is 14.5, then the total of all 8 scores is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f487a7e18665f1d9c16751dd92c3cf94655b7c0fbc9771f584c7b6908a5b2201\" alt=\"14 point 5 times 8, equals 116\"></span>. If the mean of 7 scores is 12, then the total of all 7 scores is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5c1e4e2b7f5b9a1019493b70808143170199a60770e2822e71cc04ab14576051\" alt=\"12 times 7, equals 84\"></span>. Since the set of 7 scores was made by removing the highest score of the set of 8 scores, then the difference between the total of all 8 scores and the total of all 7 scores is equal to the removed score: <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e46f9eff53f665b940fa906e0f987c248d880a03183bea9edf5a4a46d5efb5e7\" alt=\"116 minus 84, equals 32\"></span>.</p><p>Choice A is incorrect because if 20 is removed from the group of 8 scores, then the mean score of the remaining 7 players is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/11b5321f648a6245b18815f37c85103854d9dd377494025bba9e79722ed7be86\" alt=\"the fraction with numerator, open parenthesis, 14 point 5 times 8, close parenthesis, minus 20, and denominator 7\"></span> is approximately 13.71, not 12. Choice B is incorrect because if 24 is removed from the group of 8 scores, then the mean score of the remaining 7 players is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/586f0249cf888484b0b5384b22586aa0f8e6279088e946f099be21a824e650fe\" alt=\"the fraction with numerator, open parenthesis, 14 point 5 times 8, close parenthesis, minus 24, and denominator 7\"></span> is approximately 13.14, not 12. Choice D is incorrect because if 36 is removed from the group of 8 scores, then the mean score of the remaining 7 players is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ead332042cf0fa4e719031069335de12d49dfe9c74cb203750f6c0f114130e13\" alt=\"the fraction with numerator, open parenthesis, 14 point 5 times 8, close parenthesis, minus 36, and denominator 7\"></span> or approximately 11.43, not 12.</p><p>&nbsp;</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.614000+00:00","source_updated_at":"2023-08-02T20:25:59.614000+00:00","options":[{"label":"A","content_html":"<p>20</p>\n","ord":0},{"label":"B","content_html":"<p>24</p>\n","ord":1},{"label":"C","content_html":"<p>32</p>\n","ord":2},{"label":"D","content_html":"<p>36</p>\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}