Question

The five number summary given below represents the cost of groceries per week in different parts of the country.

Min Q1 Median Q3 Max
7 72 79 86 123

Using the interquartile range, which of the following are outliers?

a. 7
b. 36
c. 58
d. 94
e. 123

Answer 1

Answer: 7 ; 26 ; 123

Explanation:

Min __Q1 __ Median ___ Q3 __ Max

7____ 72 ____79 ______86__ 123

Given the 5 number summary information :

The Outlier :

Lower bound : Q1 - (1.5 * IQR)

Upper bound : Q3 + (1.5 * IQR

IQR = Q3 - Q1 = (86 - 72) = 14

Lower = 72 - (1.5 * 14)

Lower boundary = 51

Upper boundary = 86 + (1.5 * 14)

Upper boundary = 86 + 21 = 107

Values below 51 and values greater Than 107 are outliers.

Hence, 7, 36 and 123 are outliers