7
QuizMultiple Choice

Range and Interquartile Range — Quiz

Question 7 • Concepts in Probability and Statistics

Use the data set to determine which statements are correct. Choose four correct answers. 115, 120, 118, 104, 109, 148, 135, 141, 139

Answer
A
The lower quartile is 112.
B
The lower quartile is 118.
C
The upper quartile is 140.
D
There is an outlier.
E
The median is 120.
F
The median is 109.
G
The interquartile range is 28.
H
The upper quartile is 141.

Explanation

Sort the data: 104, 109, 115, 118, 120, 135, 139, 141, 148. The middle value is 120, so the median is 120; the lower and upper halves have medians of (109 + 115) ÷ 2 = 112 and (139 + 141) ÷ 2 = 140. Thus, the interquartile range is 140 − 112 = 28. There are no outliers: the usual 1.5 × IQR fences are 70 and 182, and every value falls within them.

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