AnswersMath 7 B M12 2526 S2Comparing Measures of Center and VariabilityQuestion 10
10
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Comparing Measures of Center and Variability

Question 10 • Math 7 B (M12 25/26 S2)

Georgina likes to read during her summer break. The table below shows the number of pages in each book she read last summer and the number of pages in each book she read this summer.Number of Pages Georgina Reads during the SummerLast Summer140220190180190This Summer150170150190180What inference can someone draw about the data?

Answer
A
The books she read this summer had more pages, on average, than last summer.
B
The number of pages in each book varied more last summer than this summer.
C
Last summer, the average book had nearly twice the number of pages than the average book has this summer.
D
This summer, the number of pages in a book varied nearly twice as much as the number of pages in last summer's books

Explanation

Compare the ranges, which show how much the page counts vary. Last summer, the range was 220 − 140 = 80 pages; this summer, it was 190 − 150 = 40 pages. So the page counts varied more last summer than this summer, making B correct.

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