3
QuizMultiple Choice

Comparing Measures of Center and Variability

Question 3 • *Integrated Math II Full

Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.Number of Pages Elias Read during the SummerLast Summer140220190180190This Summer150170150190180Which statement comparing the modes to the ranges is true?

Answer
A
The modes differ by 40 and the ranges differ by 40.
B
The modes differ by 20 and the ranges differ by 20.
C
The modes differ by 40, but the ranges differ by 20.
D
The modes differ by 20, but the ranges differ by 40.

Explanation

Last summer, 190 pages appears most often, so the mode is 190; the range is 220 − 140 = 80. This summer, 150 pages appears most often, so the mode is 150; the range is 190 − 150 = 40. The modes differ by 40 pages, and the ranges differ by 40 pages, so the correct statement is “The modes differ by 40 and the ranges differ by 40.”

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