{"id":"cb_question_bank:23645209-2aed-4c1b-ad4c-5bcf5362aa07","source_id":"cb_question_bank","source_item_id":"23645209-2aed-4c1b-ad4c-5bcf5362aa07","external_id":null,"ibn":"14957-DC","question_id":"3f2ee20a","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":"Which statement is true based on the table?","stimulus":"The results of two independent surveys are shown in the table below. Men's Height Group Sample size Mean (centimeters) Standard deviation (centimeters) A 2,500 186 12.5 B 2,500 186 19.1","stimulus_html":"<div class=\"stimulus_reference \">\n        <div class=\"passage \">\n          <div class=\"prose style:1 \">\n            <p class=\"passage_para \">The results of two independent surveys are shown in the table below.</p>\n            <table class=\"table_WithBorder\"><caption>Men's Height</caption>\n              <tbody><tr><td class=\"tcp-5ef8de42-03c7-4d47-b996-72e1fd6b6439\">Group</td>\n                  <td class=\"tcp-cea80256-9a69-4383-bea1-2f0f6cc31181\">Sample size</td>\n                  <td class=\"tcp-d7e18aaa-99c1-4b54-8463-422b509d5b7f\">Mean (centimeters)</td>\n                  <td class=\"tcp-76eb3fae-a98a-407c-92dc-d632c1d8e82a\">Standard deviation (centimeters)</td>\n                </tr><tr><td class=\"tcp-4ec92a02-1b6c-4914-8843-315096d79566\"> A</td>\n                  <td class=\"tcp-d47cb086-d3ad-4f51-9328-976f922746dd\">2,500</td>\n                  <td class=\"tcp-c6df0fb4-f820-40d4-bd3b-a3fb360aa964\">186</td>\n                  <td class=\"tcp-9f9479c4-370f-47f7-9d76-d6da37e54179\">12.5</td>\n                </tr><tr><td class=\"tcp-253c17ed-b021-4297-b03d-18a80013dd4e\"> B</td>\n                  <td class=\"tcp-3dc27d74-9e3f-4274-b56c-731a70da2464\">2,500</td>\n                  <td class=\"tcp-48dc238e-0ca9-4db4-ae12-cb3041f6eb98\">186</td>\n                  <td class=\"tcp-b61499f7-0e5b-4392-8f9a-0c54098bf4c3\"> 19.1</td>\n                </tr></tbody></table></div>\n        </div>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">Which statement is true based on the table?</p>\n","rationale_html":"<p>Choice C is correct. Standard deviation is a measure of spread, so data sets with larger standard deviations tend to have larger spread. The standard deviation of the heights of the men in Group B is larger than the standard deviation of the heights of the men in Group A. Therefore, the heights of the men in Group B had a larger spread than the heights of the men in Group A.</p><p>Choice A is incorrect. If two data sets are identical, they will have equivalent means and equivalent standard deviations. Since the two data sets have different standard deviations, they cannot be identical. Choice B is incorrect. Without knowing the maximum value for each data set, it’s impossible to know which group contained the tallest participant. Choice D is incorrect. Since the means of the two groups are equivalent, the medians could also be the same or could be different, but it's impossible to tell from the given information.</p><p></p>\n","correct_answer":["C"],"has_media":false,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.639000+00:00","source_updated_at":"2023-08-02T20:25:59.639000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">The Group A data set was identical to the Group B data set.</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">Group B contained the tallest participant.</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">The heights of the men in Group B had a larger spread than the heights of the men in Group A.</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">The median height of Group B is larger than the median height of Group A.</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}}