10
QuizMultiple Choice

Comparing Box Plots — Unit test

Question 10 • Math 7 B (M12 25/26 S2)

All 150 eighth grade students at a local middle school were asked how many hours they studied during the week. Each row of the table represents one sample from the population. Find the mean of each sample. Population DataRow 165304Row 245356Row 371453Row 442563Which row has the greatest mean?

Answer
A
Row 1
B
Row 2
C
Row 3
D
Row 4

Explanation

Treating each digit in a row as one study-hour value, Row 1 has mean (1 + 6 + 5 + 3 + 0 + 4) ÷ 6 = 19 ÷ 6. Row 2 has mean (2 + 4 + 5 + 3 + 5 + 6) ÷ 6 = 25 ÷ 6, which is greater than the means for Rows 3 and 4. Therefore, Row 2 has the greatest mean.

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