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

Answer:

a) Range =10

b) inter quartile range = 4.5

Step-by-step 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