Question

the five - number summary of a data set is given below. minimum: 3 q1: 12 median: 15 q3: 16 maximum: 20 which of the following is the iqr for this distribution? 1 3 4 5

Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is calculated as $IQR = Q_{3}-Q_{1}$.

Step2: Identify Q1 and Q3 values

Given $Q_{1}=12$ and $Q_{3}=16$.

Step3: Calculate IQR

$IQR=16 - 12=4$.

Answer:

4