Question

What is the third quartile (q3) of the data set? 165, 85, 105, 105, 152, 144, 140, 160, 80?

Answer 1

Arrange the numbers in ascending or descending order

80
85
105
105
140
144
152
160
165

Q3= size of 3(N+1/4)th item
= size of 3( 9+1/4)th item
= size of 2.5th item
=size of 2nd item+ 0.5(size of 3rd - size of 2nd item)
=85+0.5(105-85)
=85+0.5(20)
=85+10
=95