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 equals 1.5(iqr)? 1.5 4.5 6 9

Explanation:

Step1: Recall the formula for IQR

The inter - quartile range (IQR) is given by $IQR = Q_3 - Q_1$.

Step2: Identify $Q_1$ and $Q_3$

Given $Q_1 = 12$ and $Q_3=16$.

Step3: Calculate IQR

$IQR=Q_3 - Q_1=16 - 12 = 4$.

Step4: Calculate 1.5(IQR)

$1.5\times IQR=1.5\times4 = 6$.

Answer:

6