6
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Question 6 • Mathematics III

A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed. 3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11 What is value of the first quartile?

Answer
A
3
B
6
C
11
D
8

Explanation

There are 21 values, so the overall median is the 11th value, 8. The lower half consists of the first 10 values: 3, 5, 5, 6, 6, 6, 7, 7, 8, 8. Its middle two values are 6 and 6, so the first quartile is their average, 6. The correct choice is 6.

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