Question

You are given the five number summary from a set of data as follows: Minimum=5, Q1=7, Median=8, Q3=11.5 and Maximum=15. Explain how to find the difference between the Range and the Interquartile Range. Find this difference.

Answer 1

a) Range =10

b) inter quartile range = 4.5

Explanation:

Explanation:-

Given minimum =5

Median=8

upper quartile (Q3) =11.5

Lower quartile range= 7

Maximum=15

a) Range = maximum value -minimum value

= 15 -5

= 10

b) Interquartile Range = median of upper half - median of lower half

= Q₃- Q₁

= 11.5 - 7

= 4.5