Question

what is the interquartile range (iqr) of the data set represented by this box plot? 38 45 50 67 75 a. 5 b. 17 c. 37 d. 22

Explanation:

Step1: Identify Q1 and Q3

In a box - plot, the left - hand side of the box is Q1 and the right - hand side of the box is Q3. Here, Q1 = 45 and Q3 = 67.

Step2: Calculate the IQR

The formula for the inter - quartile range is IQR=Q3 - Q1. So, IQR = 67−45.
$IQR=22$

Answer:

D. 22