10
QuizMultiple Choice

Range and Interquartile Range — Quiz

Question 10 • Concepts in Probability and Statistics

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

Answer
A
range: 119 lower quartile: 218 upper quartile: 200
B
range: 14 lower quartile: 111 upper quartile: 198
C
range: 210 point 5 lower quartile: 200 upper quartile: 218
D
range: 119 lower quartile: 200 upper quartile: 218

Explanation

Sort the data from least to greatest: 111, 198, 200, 204, 210, 211, 216, 218, 224, 230. The range is 230 − 111 = 119. The median of the lower five values is 200, so the lower quartile is 200; the median of the upper five values is 218, so the upper quartile is 218. The correct choice is D: range 119, lower quartile 200, and upper quartile 218.

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