Question

which two of the following statements are true? remember: the iqr describes the spread (or range) of the middle 50% of the data. a the players heights have a range of 14 inches. b the iqr of the data set is 5 inches. c the heights of the middle 50% of the players represented by the data display differ by 6 inches.

Explanation:

Step1: Recall IQR definition

The inter - quartile range (IQR) is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$), and it represents the spread of the middle 50% of the data.

Step2: Analyze each option

• Option A: We have no information about the range of players' heights, so we cannot confirm this.
• Option B: There is no data given to calculate the IQR as 5 inches.
• Option C: Since IQR represents the spread of the middle 50% of the data, if it is 6 inches, it means the heights of the middle 50% of the players differ by 6 inches. This option is consistent with the IQR concept.

Answer:

C. The heights of the middle 50% of the players represented by the data display differ by 6 inches.