9
QuizMultiple Choice

Statistical Modeling — Test

Question 9 • Statistical Reasoning

Which of the following statements is true about the IQR, range, and standard deviation?

Answer
A
The range is the most resistant to extreme values.
B
The IQR is the most resistant to extreme values.
C
The standard deviation is the most resistant to extreme values.
D
The IQR is the least resistant to extreme values.

Explanation

The interquartile range (IQR) measures the spread of the middle 50% of the data, so an unusually high or low value usually has little effect on it. The range depends directly on the minimum and maximum, and the standard deviation is also affected by extreme values. Therefore, the IQR is the most resistant to extreme values.

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