Question

Hich of the following lists the range and IQR for this data?

The range is 10, and the IQR is 14.
The range is 10, and the IQR is 13.
The range is 14, and the IQR is 13.
The range is 14, and the IQR is 10

Answer 1

The range is 10, and the IQR is 13.

Explanation:

The range is the difference between the maximum and minimum values in a dataset, and the interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) of the dataset.

Since the range is the difference between the maximum and minimum values in the dataset, the range cannot be 14 and the IQR be 10, since 14 is greater than 10.

Therefore, the correct answer is:

The range is 10, and the IQR is 13.