Question

The length of ribbons found at a seamstress are listed.

6, 9, 11, 13, 13, 20

What is the appropriate measure of variability for the data shown, and what is its value?

The range is the best measure of variability and equals 14.
The IQR is the best measure of variability and equals 4.
The mean is the best measure of variability and equals 11.
The median is the best measure of variability and equals 11.

Answer 1

Explanation:

The appropriate measure of variability for the given data is the range, which represents the difference between the maximum and minimum values in the dataset. In this case, the range is indeed 14 (20 - 6).

However, it's important to note that the range is a simple measure of variability that only considers the extremes of the data and does not take into account the distribution or spread of the values. In some cases, other measures such as the interquartile range (IQR) or standard deviation may provide a more comprehensive understanding of the variability in the dataset.