{"id":"cb_question_bank:6cf052ae-f027-4e97-b162-89e789844f38","source_id":"cb_question_bank","source_item_id":"6cf052ae-f027-4e97-b162-89e789844f38","external_id":"ee5e0bcd-6e26-4cc7-9ca8-16eab11e3146","ibn":null,"question_id":"bfa8a85c","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":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"6 , 6 , 8 , 8 , 8 , 10 , 21 Which of the following lists represents a data set that has the same median as the data set shown?","stimulus":"","stimulus_html":null,"stem_html":"

6\n, 6\n, 8\n, 8\n, 8\n, 10\n, 21\n

\n

Which of the following lists represents a data set that has the same median as the data set shown?

","rationale_html":"

Choice B is correct. If a data set contains an odd number of data values, the median is represented by the middle data value in the list when the data values are listed in ascending or descending order. Since the data set shown has 7\n data values and is in ascending order, it follows that the median is the fourth data value in the list, or 8\n. If a data set contains an even number of data values, the median is between the two middle data values when the values are listed in ascending or descending order. Since each of the choices consists of a data set with 6\n data values in ascending order, it follows that the median is between the third and fourth data value. The third and fourth data values in choice B are 8\n and 8\n. Thus, choice B represents a data set with a median of 8\n. Since the median of the data set shown is 8\n and choice B represents a data set with a median of 8\n, it follows that choice B represents a data set that has the same median as the data set shown.

\n

Choice A is incorrect. This list represents a data set with a median of 6\n, not 8\n.

\n

Choice C is incorrect. This list represents a data set with a median of 10\n, not 8\n.

\n

Choice D is incorrect. This list represents a data set with a median of 10\n, not 8\n.

","correct_answer":["B"],"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":[{"label":"A","content_html":"

4\n, 6\n, 6\n, 6\n, 8\n, 8\n

","ord":0},{"label":"B","content_html":"

6\n, 6\n, 8\n, 8\n, 10\n, 10\n

","ord":1},{"label":"C","content_html":"

6\n, 8\n, 10\n, 10\n, 10\n, 12\n

","ord":2},{"label":"D","content_html":"

8\n, 8\n, 10\n, 10\n, 21\n, 21\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}}