{"id":"cb_question_bank:9558f94f-fe83-4a03-8ffa-cdbeb96508f3","source_id":"cb_question_bank","source_item_id":"9558f94f-fe83-4a03-8ffa-cdbeb96508f3","external_id":null,"ibn":"026381-DC","question_id":"9110c120","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":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Which of the following statements about the means and medians of data set A and data set B is true?","stimulus":"Data set A consists of 9 data values, each of which is the integer 5. Data set B consists of 10 data values, nine of which are the integer 5, and one of which is the integer 100.","stimulus_html":"<div class=\"stimulus_reference \">\n        <p class=\"standalone_statement style:1 \">\n          <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5b271d475b9a9e8190d2b848d691fd5975732a96e20bbf2d8e359598404da018\" alt=\"Data set A consists of 9 data values, each of which is the integer 5.\nData set B consists of 10 data values, nine of which are the integer 5, and one of which is the integer 100.\"></span></p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">Which of the following statements about the means and medians of data set A and data set B is true?</p>\n","rationale_html":"<p>Choice A is correct. The mean of a data set is the sum of the values divided by the number of values. The mean of data set A is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0011d1243c2660299db2594eb8b8df6e78a3f6f53a80d27981c71e0e342330ea\" alt=\"the fraction 45 over 9\"></span>, or 5. The mean of data set B is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/846a836a6645c62dbf130bf572fe73fa3db31233a6a9b7e3f115e084b13338a8\" alt=\"the fraction 145 over 10\"></span>, or 14.5. Thus, the means are different. The median of a data set is the middle value when the values are ordered from least to greatest. The medians of data sets A and B are both 5. Therefore, the medians are the same, so only the means are different.</p><p>Choices B, C, and D are incorrect and may result from conceptual or calculation errors.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.620000+00:00","source_updated_at":"2023-08-02T20:25:59.620000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">Only the means are different.</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">Only the medians are different.</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">Both the means and the medians are different.</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">Neither the means nor the medians are different.</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}}