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 the formula for IQR

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

Step2: Substitute the values of \(Q_{3}\) and \(Q_{1}\)

Given \(Q_{1} = 12\) and \(Q_{3}=16\). Then \(IQR=16 - 12\).

Step3: Calculate the result

\(16-12 = 4\).

Answer:

4