Question

a high school has 44 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 ∞ 166 179 205 229 264

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 = 179 and Q3 = 229.

Step2: Calculate the inter - quartile range (IQR)

The formula for the inter - quartile range is IQR=Q3 - Q1. Substitute Q1 = 179 and Q3 = 229 into the formula: IQR=229 - 179.
229−179 = 50

Answer:

50