Question

Which statement is true about the distribution?

A. The range is the best measure of variability because the distribution has an outlier.

B. The IQR is the best measure of variability because the distribution has an outlier.

C. Either the IQR or the range are good measures of variability because the distribution has an outlier.

D. Either the IQR or the range are good measures of variability because the distribution has no outliers.

Answer 1

The answer is B. The IQR is the best measure of variability because the distribution has an outlier.

Explanation:

Answer 2

Option B is right

Explanation:

In any data set, we find that the range is the difference between maximum and minimum. The range cannot give full information about the variability of the data set.

Outliers are the ones which are either below Q1-1.5IQR or Q3+1.5IQR

Thus Inter quartile range, the difference between I quartile and III quartile gives a better idea about variability and also outlier.

Hence out of the four options given, we find that option B is the right one.

Option

B. The IQR is the best measure of variability because the distribution has an outlier.