17
QuizMultiple Choice

Range and Interquartile Range

Question 17 • Concepts in Probability and Statistics A

Pren recorded this data set, which contains an outlier. 204, 216, 111, 224, 230, 211, 210, 198, 200, 218What numbers represent the range, lower quartile, and upper quartiles?

Answer
A
range: 210.5lower quartile: 200upper quartile: 218
B
range: 14lower quartile: 111upper quartile: 198
C
range: 119lower quartile: 218upper quartile: 200
D
range: 119lower quartile: 200upper quartile: 218

Explanation

First, sort the values: 111, 198, 200, 204, 210, 211, 216, 218, 224, 230. The range is 230 − 111 = 119. The lower half has a middle value of 200, and the upper half has a middle value of 218, so the correct choice is D: range 119, lower quartile 200, and upper quartile 218.

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