{"id":"cb_question_bank:4f63e209-de19-4080-b0d6-cee35a1fd25d","source_id":"cb_question_bank","source_item_id":"4f63e209-de19-4080-b0d6-cee35a1fd25d","external_id":"43a2c649-5ad6-4d16-9779-da333ff1569a","ibn":null,"question_id":"12dae628","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":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"2 , 9 , 14 , 23 , 32 What is the mean of the data shown?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"2\"><mn>2</mn>\n</math>, <math alttext=\"9\"><mn>9</mn>\n</math>, <math alttext=\"14\"><mn>14</mn>\n</math>, <math alttext=\"23\"><mn>23</mn>\n</math>, <math alttext=\"32\"><mn>32</mn>\n</math></p>\n<p>What is the mean of the data shown?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. The mean of a set of data values is the sum of all the data values divided by the number of data values in the set. The sum of the data values shown is <math alttext=\"2 plus 9 plus 14 plus 23 plus 32\"><mn>2</mn><mo>+</mo><mn>9</mn><mo>+</mo><mn>14</mn><mo>+</mo><mn>23</mn><mo>+</mo><mn>32</mn></math>, or <math alttext=\"80\"><mn>80</mn>\n</math>. Since there are <math alttext=\"5\"><mn>5</mn>\n</math> data values in the set, the mean of the data shown is <math alttext=\"StartFraction 80 Over 5 EndFraction\"><mfrac><mn>80</mn><mn>5</mn></mfrac></math>, or <math alttext=\"16\"><mn>16</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. This is the median, not the mean, of the data shown.</p>\n<p style=\"text-align: left;\">Choice C is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This is the maximum, not the mean, of the data shown.</p>","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.833000+00:00","source_updated_at":"2023-08-02T20:25:59.833000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"14\"><mn>14</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"16\"><mn>16</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"17\"><mn>17</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"32\"><mn>32</mn>\n</math></p>","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}}