{"id":"cb_practice_pdf:t4-math-m2-q24","source_id":"cb_practice_pdf","source_item_id":"t4-math-m2-q24","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-4","module_number":2,"position":24,"stem":"- Data Set A • • • • • • • • • • • • • • • 22 23 24 25 26 The dot plot represents the 15 values in data set A. Data set B is created by adding 56 to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?","stimulus":"","stimulus_html":null,"stem_html":"<p>- Data Set A • • • • • • • • • • • • • • • 22 23 24 25 26 The dot plot represents the 15 values in data set A. Data set B is created by adding 56 to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?</p>","rationale_html":"<p>Choice C is correct. The median of a data set with an odd number of values, in ascending or descending order, is the middle value of the data set, and the range of a data set is the positive difference between the maximum and minimum values 51 SAT PRACTICE TEST #4 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS nnn MATH: MODULE 2 in the data set. Since the dot plot shown gives the values in data set A in ascending order and there are 15 values in the data set, the eighth value in data set A, 23, is the median. The maximum value in data set A is 26 and the minimum - value is 22, so the range of data set A is 26 22, or 4. It’s given that data set B is created by adding 56 to each of the values in data set A. Increasing each of the 15 values in data set A by 56 will also increase its median value by 56 making the median of data set B 79. Increasing each value of data set A by 56 does not + change the range, since the maximum value of data set B is 26 56, or 82, and + - the minimum value is 22 56, or 78, making the range of data set B 82 78, or 4. Therefore, the median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A. Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["C"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>The median of data set B is equal to the median of data set A, and the range of data set B is equal to the range of data set A.</p>","ord":0},{"label":"B","content_html":"<p>The median of data set B is equal to the median of data set A, and the range of data set B is greater than the range of data set A.</p>","ord":1},{"label":"C","content_html":"<p>The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A.</p>","ord":2},{"label":"D","content_html":"<p>The median of data set B is greater than the median of data set A, and the range of data set B is greater than the range of data set A.</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}