Question

The quiz scores for two different groups of math students are given below. Use the mean and standard deviation to determine which group has a higher average, and which group is more consistent. Group A – 93, 90, 71, 77, 85, 75, 77, 85, 87, 90 Group B – 71, 75, 85, 95, 71, 71, 90, 95, 87, 80

Answer 1

The answer is Group B

Answer 2

Explanation:

Given that the quiz scores for two different groups of math students are given below.

Group A =93, 90, 71, 77, 85, 75, 77, 85, 87, 90

Count =10: Mean = 83: Std dev: = 7.0852

Group B = 71, 75, 85, 95, 71, 71, 90, 95, 87, 80

Count =10: Mean = 82: Std dev: = 9.230

Since std dev is lower for group A

Group A has less variability and hence more consistent.