Question

find the interquartile range of the data set represented on the box plot. show your work here

Explanation:

Step1: Identify the first quartile ($Q_1$) and the third quartile ($Q_3$)

From the box - plot, $Q_1 = 6$ and $Q_3 = 18$.

Step2: Calculate the inter - quartile range (IQR)

The formula for the inter - quartile range is $IQR=Q_3 - Q_1$.
Substitute $Q_1 = 6$ and $Q_3 = 18$ into the formula: $IQR = 18-6$.

Answer:

$12$