{"id":"cb_question_bank:0871f5e0-b4be-4bab-ae91-b3a5d4a4a97f","source_id":"cb_question_bank","source_item_id":"0871f5e0-b4be-4bab-ae91-b3a5d4a4a97f","external_id":"16b20598-30a0-44b7-8771-8c87e56ec14b","ibn":null,"question_id":"d3b9c8d8","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":"From left to right the values of the vertical bars in the Group 1 box plot are as follows: First vertical bar: 21 Second vertical bar: 22 Third vertical bar: 25 Fourth vertical bar: 26 Fifth vertical bar: 28 From left to right the values of the vertical bars in the Group 2 box plot are as follows: First vertical bar: 22 Second vertical bar: 23 Third vertical bar: 24 Fourth vertical bar: 25 Fifth vertical bar: 28 The box plots summarize the masses, in kilograms, of two groups of gazelles. Based on the box plots, which of the following statements must be true?","stimulus":"","stimulus_html":null,"stem_html":"

\n

The box plots summarize the masses, in kilograms, of two groups of gazelles. Based on the box plots, which of the following statements must be true?

","rationale_html":"

Choice C is correct. The median of a data set represented in a box plot is represented by the vertical line within the box. It follows that the median mass of the gazelles in group 1\n is 25\n kilograms, and the median mass of the gazelles in group 2\n is 24\n kilograms. Since 25\n kilograms is greater than 24\n kilograms, the median mass of group 1\n is greater than the median mass of group 2\n.

\n

Choice A is incorrect. The mean mass of each of the two groups cannot be determined from the box plots.

\n

Choice B is incorrect. The mean mass of each of the two groups cannot be determined from the box plots.

\n

Choice D is incorrect and may result from conceptual or calculation errors.

","correct_answer":["C"],"has_media":true,"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":"

The mean mass of group 1 is greater than the mean mass of group 2.

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

The mean mass of group 1 is less than the mean mass of group 2.

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

The median mass of group 1 is greater than the median mass of group 2.

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

The median mass of group 1 is less than the median mass of group 2.

","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}}