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: Calculate the inter - quartile range (IQR)

The formula for the inter - quartile range is \(IQR = Q_{3}-Q_{1}\). Given \(Q_{1} = 12\) and \(Q_{3}=16\), then \(IQR=16 - 12\).

$$IQR=4$$

Step2: Calculate \(1.5\times IQR\)

Multiply the value of \(IQR\) by \(1.5\). So, \(1.5\times IQR=1.5\times4\).

$$1.5\times4 = 6$$

Answer:

6 (the third option)