Question

the box plot below represents some data set. what is the interquartile range (iqr) of the data?
box plot image with axis from 0 to 200, marked at 50, 100, 150, 200

Explanation:

Step1: Identify Q1 and Q3

From the box plot, assume Q1 (first quartile) is at 50 and Q3 (third quartile) is at 100 (visually estimating from the plot).

Step2: Calculate IQR

The formula for IQR is \( \text{IQR} = Q3 - Q1 \). Substituting the values, \( \text{IQR} = 100 - 50 = 50 \).

Answer:

50