{"id":"cb_question_bank:4fb4123a-301e-4e0b-a0f2-c268476fd9ba","source_id":"cb_question_bank","source_item_id":"4fb4123a-301e-4e0b-a0f2-c268476fd9ba","external_id":null,"ibn":"029610-DC","question_id":"1142af44","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":"H","score_band":6,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The frequency distribution above summarizes a set of data, where a is a positive integer. How much greater is the mean of the set of data than the median?","stimulus":"Value Frequency 1 a 2 2 a 3 3 a 4 2 a 5 a","stimulus_html":"<div class=\"stimulus_reference \">\n\t<div>\n\t\t<table class=\"tableWithBorder\" style=\"width:100px;\"><tbody><tr><td class=\"tableWithBorderTd td4869ff00-136c-40bd-9105-94932f1fce3a\">Value</td>\n\t\t\t\t\t<td class=\"tableWithBorderTd tda9f0c2e2-21f7-4867-add6-016d503e0c5b\">Frequency</td>\n\t\t\t\t</tr><tr><td class=\"tableWithBorderTd tdabc29fd7-5853-4f67-ae96-b7d4375bea0e\">1</td>\n\t\t\t\t\t<td class=\"tableWithBorderTd tdecf626e8-e08c-4257-a68b-41cb198f914d\"><span class=\"italic \">a</span></td>\n\t\t\t\t</tr><tr><td class=\"tableWithBorderTd td20859437-aa95-4dd7-97ee-c758399f9bd6\">2</td>\n\t\t\t\t\t<td class=\"tableWithBorderTd td890027f3-a3c7-4cde-9048-ece05ea832c6\">2<span class=\"italic \">a</span></td>\n\t\t\t\t</tr><tr><td class=\"tableWithBorderTd td348ff36d-8305-4415-ba94-bd9c398af34e\">3</td>\n\t\t\t\t\t<td class=\"tableWithBorderTd td54de38a7-1ed5-47a7-a616-7632f4dd85fb\">3<span class=\"italic \">a</span></td>\n\t\t\t\t</tr><tr><td class=\"tableWithBorderTd tdaacb23cf-902f-4868-a13d-ff8ed984670c\">4</td>\n\t\t\t\t\t<td class=\"tableWithBorderTd td2c0ad12c-f382-422b-941a-1e957ccb69f6\">2<span class=\"italic \">a</span></td>\n\t\t\t\t</tr><tr><td class=\"tableWithBorderTd tde1e19f31-afe6-44fb-82f4-53578d452f4e\">5</td>\n\t\t\t\t\t<td class=\"tableWithBorderTd td7c51c75f-c815-4437-8ef3-5e508c3b3782\"><span class=\"italic \">a</span></td>\n\t\t\t\t</tr></tbody></table></div>\n</div>\n","stem_html":"<p class=\"stem_paragraph \">The frequency distribution above summarizes a set of data, where <em class=\"inline_variable \">a</em> is a positive integer. How much greater is the mean of the set of data than the median?</p>\n","rationale_html":"<p>Choice A is correct. Since the frequencies of values less than the middle value, 3, are the same as the frequencies of the values greater than 3, the set of data has a symmetric distribution. When a set of data has a symmetric distribution, the mean and median values are equal. Therefore, the mean is 0 greater than the median.</p><p>Choices B, C, and D are incorrect and may result from misinterpreting the set of data.</p><p>&nbsp;</p><p></p>\n","correct_answer":["A"],"has_media":false,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.626000+00:00","source_updated_at":"2023-08-02T20:25:59.626000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">0</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">1</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">2</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">3</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}}