Question

a high school has 52 players on the football team. the summary of the players weights is given in the box - plot. what is the interquartile range of the players weights? weight (in pounds): 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270. 170, 176, 194, 217, 244. question 13 of 14. step 1 of 1. 14/20 correct.

Explanation:

Step1: Identify Q1 and Q3 from box - plot

In a box - plot, the lower edge of the box is the first quartile (Q1) and the upper edge of the box is the third quartile (Q3). Here, Q1 = 194 pounds and Q3 = 217 pounds.

Step2: Calculate inter - quartile range

The inter - quartile range (IQR) is calculated as IQR=Q3 - Q1. Substitute Q1 = 194 and Q3 = 217 into the formula: IQR = 217−194.
IQR = 23 pounds

Answer:

23 pounds