10
QuizMultiple Choice

Range and Interquartile Range

Question 10 • Concepts in Probability and Statistics A

Kwan recorded two sets of data.Set 1: 9, 13, 6, 18, 15, 19, 20Median: 15Lower Quartile: 9Upper Quartile: 19Range: 14IQR: 10Set 2: 9, 13, 6, 18, 15, 19, 20, 63Median: 16.5Lower Quartile: 11Upper Quartile: 19.5Range: 57IQR: 8.5One set of data shows an outlier. Which measure of spread was most impacted by the outlier?

Answer
A
lower quartile
B
median
C
interquartile range (IQR)
D
range

Explanation

The range is the difference between the largest and smallest values. In Set 1, it is 20 − 6 = 14; after adding the outlier 63, it becomes 63 − 6 = 57, an increase of 43. This shows the range—the spread measure most affected by the outlier, 63—was most impacted.

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