15
QuizMultiple Choice

Unit Test — Unit test

Question 15 • Concepts in Probability and Statistics A

Use the data set to determine which statements are correct. Check all that apply.35, 41, 18, 75, 36, 21, 62, 29, 154, 70

Answer
A
The median is 36.
B
The median is 38.5.
C
There is an outlier.
D
The lower quartile is 29.
E
The lower quartile is 18.
F
The upper quartile is 29.
G
The upper quartile is 70.
H
The interquartile range is 41.

Explanation

Sort the data: 18, 21, 29, 35, 36, 41, 62, 70, 75, 154. The median is the average of the two middle values, (36 + 41) ÷ 2 = 38.5. The lower and upper quartiles are the medians of the lower and upper halves: 29 and 70, so the interquartile range is 70 − 29 = 41. Using the 1.5 × IQR rule, the upper fence is 70 + 1.5(41) = 131.5; since 154 is above it, there is an outlier.

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