{"id":"cb_question_bank:dcf494d5-b36f-4cb5-a23a-7e032cbf638b","source_id":"cb_question_bank","source_item_id":"dcf494d5-b36f-4cb5-a23a-7e032cbf638b","external_id":null,"ibn":"08099-DC","question_id":"869a32f1","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":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Over this 5-day period, which of the following is NOT equal to 81°F?","stimulus":"The high temperature, in degrees Fahrenheit (°F), in a certain city was recorded for each of 5 days. The data are shown below. Day 1 2 3 4 5 High temperature (°F) 81 80 81 81 82","stimulus_html":"<div class=\"stimulus_reference \">\n\t<div class=\"passage \">\n\t\t<div class=\"prose style:1 \">\n\t\t\t<p class=\"passage_para \">The high temperature, in degrees Fahrenheit (°F), in a certain city was recorded for each of 5&nbsp;days. The data are shown below.</p>\n\n\t\t\t<div class=\"table_wrapper \">\n\t\t\t\t<table class=\"tcp-8389d6ef-0903-4b89-9a9e-79d06cf1bfb0\"><tbody><tr><td>\n\t\t\t\t\t\t\t\t<table class=\"table_WithBorder tcp-58153dcb-3058-4559-9f1e-ecc2f3a03d92\"><tbody class=\"tbody \"><tr class=\"row \"><td class=\"entry align:left colname:col1 \">Day</td>\n\t\t\t\t\t\t\t\t\t\t\t<td class=\"entry align:center colname:col2  tcp-548f0de6-4421-414e-ad62-3ee1d67e7e3e\">1</td>\n\t\t\t\t\t\t\t\t\t\t\t<td class=\"entry align:center colname:col3  tcp-9e683c8d-1faf-4b39-8f0f-36f87dc55060\">2</td>\n\t\t\t\t\t\t\t\t\t\t\t<td class=\"entry align:center colname:col4  tcp-c888bde5-88b2-4701-9c87-0f73d899b51d\">3</td>\n\t\t\t\t\t\t\t\t\t\t\t<td class=\"entry align:center colname:col5  tcp-67515d51-71f5-4013-a647-2c3e4564a18b\">4</td>\n\t\t\t\t\t\t\t\t\t\t\t<td class=\"entry align:center colname:col6  tcp-37879877-f5ad-4608-a605-bdc31f26c468\">5</td>\n\t\t\t\t\t\t\t\t\t\t</tr><tr class=\"row \"><td class=\"entry colname:col1 \">High temperature (°F)</td>\n\t\t\t\t\t\t\t\t\t\t\t<td class=\"entry align:center colname:col2 \">81</td>\n\t\t\t\t\t\t\t\t\t\t\t<td class=\"entry align:center colname:col3 \">80</td>\n\t\t\t\t\t\t\t\t\t\t\t<td class=\"entry align:center colname:col4 \">81</td>\n\t\t\t\t\t\t\t\t\t\t\t<td class=\"entry align:center colname:col5 \">81</td>\n\t\t\t\t\t\t\t\t\t\t\t<td class=\"entry align:center colname:col6 \">82</td>\n\t\t\t\t\t\t\t\t\t\t</tr></tbody></table></td>\n\t\t\t\t\t\t</tr></tbody></table></div>\n\t\t</div>\n\t</div>\n</div>\n","stem_html":"<p class=\"stem_paragraph \">Over this 5-day period, which of the following is NOT equal to 81°F?</p>\n","rationale_html":"<p class=\"tcp-d9453653-44d3-4cff-afd9-104cf6a14c88\">Choice D is correct. The range of a data set is the difference between the maximum and the minimum values in the set. The maximum value among the high temperatures in the table is 82°F and the minimum value is 80°F. Therefore, the range is 82°F – 80°F = 2°F.</p><p class=\"tcp-978878a4-8008-4c90-ae20-a7090f316ead\">Choice A is incorrect. The median of a data set is the middle value when the values in the set are ordered from least to greatest. Ordering the high temperatures this way gives the list 80, 81, 81, 81, 82. Therefore, the median high temperature is 81°F. Choice B is incorrect. The mean high temperature is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/77b4c32795d7990b994209bb4beefcc899f6de2acc391cf246cf493d26277541\" alt=\"the fraction with numerator 81, plus 80, plus 81, plus 81, plus 82, and denominator 5, equals, the fraction 405 over 5, which equals 81\"></span>. Choice C is incorrect. The mode is the value that occurs the greatest number of times. For the set of high temperatures shown,&nbsp;81 is the value that occurs 3 times, and therefore, 81°F is the mode of the high temperatures.</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.634000+00:00","source_updated_at":"2023-08-02T20:25:59.634000+00:00","options":[{"label":"A","content_html":"<p>Median of the high temperatures</p>\n","ord":0},{"label":"B","content_html":"<p>Mean of the high temperatures</p>\n","ord":1},{"label":"C","content_html":"<p>Mode of the high temperatures</p>\n","ord":2},{"label":"D","content_html":"<p>Range of the high temperatures</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}}