Question

in the data set below, what is the interquartile range? 2 4 5 7 7 8 8

Explanation:

Step1: Arrange data in order

2, 4, 5, 7, 7, 8, 8 (already in order)

Step2: Find the median (Q2)

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

Step3: Find Q1

The lower half of the data is 2, 4, 5. The median of this lower - half (Q1) is 4.

Step4: Find Q3

The upper half of the data is 7, 8, 8. The median of this upper - half (Q3) is 8.

Step5: Calculate inter - quartile range (IQR)

IQR=Q3 - Q1 = 8 - 4=3

Answer:

3