Question

determine the interquartile range. 53, 62, 30, 30, 64
33
53
43
17

Explanation:

Step1: Sort the data

$30,30,53,62,64$

Step2: Find the median (Q2)

Since there are 5 data - points, the median is the 3rd value. So, $Q2 = 53$.

Step3: Find the lower half

The lower half is $30,30$. The median of the lower half (Q1) is $\frac{30 + 30}{2}=30$.

Step4: Find the upper half

The upper half is $62,64$. The median of the upper half (Q3) is $\frac{62+64}{2}=63$.

Step5: Calculate the inter - quartile range (IQR)

$IQR=Q3 - Q1=63 - 30 = 33$

Answer:

A. 33