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AssignmentMultiple Choice

Box Plots

Question 1 • High School Math 2 A

Which data set has an outlier?

Answer
A
25, 36, 44, 51, 62, 77
B
3, 3, 3, 7, 9, 9, 10, 14
C
8, 17, 18, 20, 20, 21, 23, 26, 31, 39
D
63, 65, 66, 69, 71, 78, 80, 81, 82, 82

Explanation

For set C, the lower quartile is about 18 and the upper quartile is 26, so the interquartile range is about 8. The upper outlier cutoff is Q3 + 1.5 × IQR = 26 + 12 = 38; since 39 is above 38, it is an outlier. Thus, the data set 8, 17, 18, 20, 20, 21, 23, 26, 31, 39 has an outlier.

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