Explanation:
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.
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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).