Which of the following is NOT sensitive to extreme values? A. The interquartile range. B. The range. C. The standard deviation. D. The coefficient of variation.

The answer is A. The interquartile range.

Here's why:

A. The interquartile range (IQR) is a measure of statistical dispersion, or in simpler terms, it's a measure of how spread out the values in a data set are. The IQR is calculated by subtracting the first quartile (25th percentile) from the third quartile (75th percentile). This means it only considers the middle 50% of data and ignores the extreme values (both low and high), making it not sensitive to extreme values.

B. The range is the difference between the highest and lowest values in a data set. It is sensitive to extreme values because if there are any unusually high or low values in the data set, they will directly affect the range.

C. The standard deviation is a measure of how spread out the numbers in a data set are. It is sensitive to extreme values because it squares the deviations from the mean, so any large deviations (i.e., extreme values) will have a significant impact on the standard deviation.

D. The coefficient of variation is a measure of relative variability. It is the ratio of the standard