Question

in the data set below, what is the interquartile range? 22 41 89 87 25 13 83

Explanation:

Step1: Sort the data set

$13, 22, 25, 41, 83, 87, 89$

Step2: Find the median (Q2)

Since there are 7 data - points, the median is the 4th value. So, $Q2 = 41$.

Step3: Find the lower half and Q1

The lower half is $13, 22, 25$. The median of the lower half (Q1) is 22.

Step4: Find the upper half and Q3

The upper half is $83, 87, 89$. The median of the upper half (Q3) is 87.

Step5: Calculate the inter - quartile range (IQR)

$IQR=Q3 - Q1=87 - 22 = 65$

Answer:

65