Question

question
the box plot below represents some data set. what is the interquartile range (iqr) of the data?
answer attempt 1 out of 2

Explanation:

Step1: Identify Q1 and Q3 from box plot

In a box plot, the left end of the box is \( Q_1 \) (first quartile) and the right end of the box is \( Q_3 \) (third quartile). From the given box plot, \( Q_1 = 12 \) and \( Q_3 = 18 \).

Step2: Calculate IQR

The formula for inter - quartile range is \( IQR=Q_3 - Q_1 \). Substitute \( Q_3 = 18 \) and \( Q_1 = 12 \) into the formula: \( IQR=18 - 12=6 \).

Answer:

6