31
QuizMultiple Choice

Speed and Velocity

Question 31 • LA-Physical Science A

The data set below has a lower quartile of 13 and an upper quartile of 37.1, 12, 13, 15, 18, 20, 35, 37, 40, 78Which statement is true about any outliers of the data set?

Answer
A
The data set does not have any outliers.
B
The lowest value, 1, is the only outlier.
C
The greatest value, 78, is the only outlier.
D
Both 1 and 78 are outliers.

Explanation

The interquartile range is 37 − 13 = 24. Using the 1.5 × IQR rule, the outlier boundaries are 13 − 36 = −23 and 37 + 36 = 73. The value 78 is above 73, while 1 is above −23, so 78 is the only outlier. The correct choice is “The greatest value, 78, is the only outlier.”

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