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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 choice C, the lower half is 8, 17, 18, 20, 20, so Q1 = 18; the upper half is 21, 23, 26, 31, 39, so Q3 = 26. The interquartile range is 26 − 18 = 8, making the upper outlier cutoff 26 + 1.5(8) = 38. Since 39 is above 38, it is an outlier, so the data set in choice C has an outlier.

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