5
QuizMultiple Choice

Measures of Variability — Quiz

Question 5 • Statistical Reasoning

Some teenagers collected trash for a beach clean-up. The data for the number of pounds of trash collected by each teenager are shown. 26 , 26 , 21 , 22 , 20 , 25 , 35 What is the IQR of the data?

Answer
A
5 point 0 3 3 pounds
B
5 pounds
C
15 pounds
D
1 pounds

Explanation

First order the data: 20, 21, 22, 25, 26, 26, 35. The median is 25, so the lower half is 20, 21, 22 and the upper half is 26, 26, 35. The first quartile is 21 and the third quartile is 26, so the IQR is 26 − 21 = 5 pounds. The correct choice is A, 5 pounds.

AI-written and checked against the verified answer.

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