Question

in the data set below, what is the interquartile range? 1 2 3 4 6 8 8

Explanation:

Step1: Arrange data in order

The data set 1, 2, 3, 4, 6, 8, 8 is already in ascending - order.

Step2: Find the median (Q2)

There are 7 data points. The median is the 4th value. So, Q2 = 4.

Step3: Find Q1

The lower half of the data is 1, 2, 3. The median of the lower half (Q1) is 2.

Step4: Find Q3

The upper half of the data is 6, 8, 8. The median of the upper half (Q3) is 8.

Step5: Calculate the inter - quartile range (IQR)

IQR=Q3 - Q1. So, IQR = 8 - 2=6.

Answer:

6