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Answer: 82, which is the difference between the third quartile (Q3) and the first quartile (Q1).
The interquartile range (IQR) is defined as the difference between the third quartile (Q3) and the first quartile (Q1). In this case, IQR = Q3 - Q1 = 93 - 11 = 82. Option A incorrectly calculates the difference between Q3 and Q2, while Option C incorrectly calculates the range between Q4 and Q1, which is not the IQR.
Author: LeetQuiz Editorial Team
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An analyst evaluates a sample of 100 observations and records the following quartile values: First quartile (Q1) = 11, Second quartile (Q2) = 62, Third quartile (Q3) = 93, and Fourth quartile (Q4) = 359. The interquartile range (IQR) for this sample is:
A
31, which is the difference between the third quartile (Q3) and the second quartile (Q2).
B
82, which is the difference between the third quartile (Q3) and the first quartile (Q1).
C
348, which is the range between the fourth quartile (Q4) and the first quartile (Q1).
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