Question

1. the box plot shows the distribution of the distances, in miles, the students live from a high school.

distance from high school
distance (miles)
what is the interquartile range of this data set?

Explanation:

Step1: Identify Q1 and Q3

From the box plot, Q1 (lower quartile) = 16 miles, Q3 (upper quartile) = 22 miles.

Step2: Calculate interquartile range

Subtract Q1 from Q3: $\text{IQR} = Q3 - Q1$
$\text{IQR} = 22 - 16$

Answer:

6 miles