Question

What is the third quartile (Q3) of the data set? 165, 85, 105, 105, 152, 144, 140, 160, 80 A. 105 B. 140 C. 156 D. 160

Answer 1

The answer would be B. because the third quartile is the last 25% of the numbers

Answer 2

Answer C

The third quartile, denoted by Q3 , is the median of the upper half of the data set. About 75% of the numbers in the data set lie below Q3 and about 25% lie above Q3 .

steps to find Q3:

1- arrange given data in ascending order

80 85 105 105 140 144 152 160 165

2- find median

140

values to the left of median are called lower half

values to the right of median are called upper half

3- find median of upper half to find Q3

(152+160)/2 = 156

Q3 = 156