{"id":"cb_question_bank:6a7adf1a-4841-4b41-8024-d5c6dcffd7c1","source_id":"cb_question_bank","source_item_id":"6a7adf1a-4841-4b41-8024-d5c6dcffd7c1","external_id":"4c64fb61-5036-48e2-a518-1fe34e097aec","ibn":null,"question_id":"4b09f783","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":"A list of 10 data values is shown. 6 , 8 , 16 , 4 , 17 , 26 , 8 , 5 , 5 , 5 What is the mean of these data?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A list of <math alttext=\"10\"><mn>10</mn>\n</math> data values is shown.</p>\n<p style=\"text-align: center;\"><math alttext=\"6\"><mn>6</mn>\n</math>, <math alttext=\"8\"><mn>8</mn>\n</math>, <math alttext=\"16\"><mn>16</mn>\n</math>, <math alttext=\"4\"><mn>4</mn>\n</math>, <math alttext=\"17\"><mn>17</mn>\n</math>, <math alttext=\"26\"><mn>26</mn>\n</math>, <math alttext=\"8\"><mn>8</mn>\n</math>, <math alttext=\"5\"><mn>5</mn>\n</math>, <math alttext=\"5\"><mn>5</mn>\n</math>, <math alttext=\"5\"><mn>5</mn>\n</math></p>\n<p style=\"text-align: left;\">What is the mean of these data?</p>","rationale_html":"<p>The correct answer is <math alttext=\"10\"><mn>10</mn>\n</math>. The mean of a data set is calculated by dividing the sum of the data values by the number of data values in the data set. For this data set, the mean can be calculated as <math alttext=\"StartFraction 6 plus 8 plus 16 plus 4 plus 17 plus 26 plus 8 plus 5 plus 5 plus 5 Over 10 EndFraction\"><mfrac><mrow><mn>6</mn><mo>+</mo><mn>8</mn><mo>+</mo><mn>16</mn><mo>+</mo><mn>4</mn><mo>+</mo><mn>17</mn><mo>+</mo><mn>26</mn><mo>+</mo><mn>8</mn><mo>+</mo><mn>5</mn><mo>+</mo><mn>5</mn><mo>+</mo><mn>5</mn></mrow><mn>10</mn></mfrac></math>, which is equivalent to <math alttext=\"StartFraction 100 Over 10 EndFraction\"><mfrac><mn>100</mn><mn>10</mn></mfrac></math>, or <math alttext=\"10\"><mn>10</mn>\n</math>.</p>","correct_answer":["10"],"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}}