{"id":"cb_question_bank:249c8138-9954-4693-8a71-113ea8235d3e","source_id":"cb_question_bank","source_item_id":"249c8138-9954-4693-8a71-113ea8235d3e","external_id":null,"ibn":"029327-DC","question_id":"d0efc1dd","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":"The mean and the median of the five numbers above are equal. Which of the following is NOT a possible value of x ?","stimulus":"15, 14, 18, 17, x","stimulus_html":"<div class=\"stimulus_reference \">\n\t<p class=\"standalone_statement style:1 \">15, 14, 18, 17, <span class=\"italic\">x</span></p>\n</div>\n","stem_html":"<p class=\"stem_paragraph \">The mean and the median of the five numbers above are equal. Which of the following is NOT a possible value of <span class=\"italic\">x&nbsp;</span>?</p>\n","rationale_html":"<p>Choice A is correct. If <span class=\"italic\">x</span> is 6, then the five numbers in the given list are 15, 14, 18, 17, 6. The mean of these five numbers is the sum of all the values divided by the number of values, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3e398b6576c175333f1b2d71f6fb1d74090fd0815020cf83a3553f82057b2582\" alt=\"the fraction with numerator 15 plus 14, plus 18, plus 17, plus 6, and denominator 5, end fraction, equals, 70 over 5, which equals 14\"></span>. The median of these five numbers can be found by ordering the numbers from least to greatest and determining the middle value. When ordered from least to greatest, the numbers in the given list are 6, 14, 15, 17, 18, and the middle value is 15. Since the mean is 14 and the median is 15, the mean and median aren’t equal when <span class=\"italic\">x</span> is 6.</p><p>Choices B, C, and D are incorrect. If any of these values is substituted for <span class=\"italic\">x</span>, the mean and median of the data set would be equal.</p><p>&nbsp;</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.624000+00:00","source_updated_at":"2023-08-02T20:25:59.624000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">6</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">11</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">16</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">21</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}}