{"id":"cb_question_bank:734c4c22-4090-4721-bb5c-b552e659ebad","source_id":"cb_question_bank","source_item_id":"734c4c22-4090-4721-bb5c-b552e659ebad","external_id":"bc57ca71-eb48-4ae7-95a8-3ed00f622ed8","ibn":null,"question_id":"7760c516","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":3,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Each value in the data set shown represents the height, in centimeters, of a plant. 6 , 10 , 13 , 2 , 15 , 22 , 10 , 4 , 4 , 4 What is the mean height, in centimeters, of these plants?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">Each value in the data set shown represents the height, in centimeters, of a plant.&nbsp;</p>\n<p style=\"text-align: center;\"><math alttext=\"6\"><mn>6</mn>\n</math>, <math alttext=\"10\"><mn>10</mn>\n</math>, <math alttext=\"13\"><mn>13</mn>\n</math>, <math alttext=\"2\"><mn>2</mn>\n</math>, <math alttext=\"15\"><mn>15</mn>\n</math>, <math alttext=\"22\"><mn>22</mn>\n</math>, <math alttext=\"10\"><mn>10</mn>\n</math>, <math alttext=\"4\"><mn>4</mn>\n</math>, <math alttext=\"4\"><mn>4</mn>\n</math>, <math alttext=\"4\"><mn>4</mn>\n</math></p>\n<p style=\"text-align: left;\">What is the mean height, in centimeters, of these plants?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"9\"><mn>9</mn>\n</math>. The mean of a data set is the sum of the values in the data set divided by the number of values in the data set. It follows that the mean height, in centimeters, of these plants is the sum of the heights, in centimeters, of each plant, <math alttext=\"6 plus 10 plus 13 plus 2 plus 15 plus 22 plus 10 plus 4 plus 4 plus 4\"><mn>6</mn><mo>+</mo><mn>10</mn><mo>+</mo><mn>13</mn><mo>+</mo><mn>2</mn><mo>+</mo><mn>15</mn><mo>+</mo><mn>22</mn><mo>+</mo><mn>10</mn><mo>+</mo><mn>4</mn><mo>+</mo><mn>4</mn><mo>+</mo><mn>4</mn></math>, or <math alttext=\"90\"><mn>90</mn>\n</math>, divided by the number of plants in the data set, <math alttext=\"10\"><mn>10</mn>\n</math>. Therefore, the mean height, in centimeters, of these plants is <math alttext=\"StartFraction 90 Over 10 EndFraction\"><mfrac><mn>90</mn><mn>10</mn></mfrac></math>, or <math alttext=\"9\"><mn>9</mn>\n</math>.&nbsp;</p>","correct_answer":["9"],"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":[],"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}}