Question

The range for this distribution is $132.50. Indicate your agreement or disagreement with the following statement: The range is not a useful summary of the variability of this data set.

A.Agree, it is too vague.
B.Agree, it is too easily influenced by outliers.
C.Agree, it does not use information on the center of the data.
D.Disagree, a range of $132.50 is a good measure of variability because students are apt to spend any amount of money between $0 and $132.50.

Answer 1

The range is a good measure of variability but has limitations such as being influenced by outliers and not providing center information. However, with a range of $132.50, it is a useful summary of the data set.

Step-by-step explanation:

The statement that the range is not a useful summary of the variability of the data set is disagree. The range is a good measure of variability, but it has limitations. It can be influenced by outliers and does not provide information on the center of the data. However, in this case, with a range of $132.50, it gives a sense of the spread of the data and allows students to spend any amount of money between $0 and $132.50.