Question

Mr. Martin was comparing two random samples of students test scores from his Algebra III 1st and 3rd block classes: Test scores from 1st block: 92,84,85,77,60,92,68,88,76,89,94,56,72,45,66; Mean: ≈ 76.3 Standard deviation: ≈ 14.3 Test scores from 3rd block: 72,77,84,79,66,74,88,72,73,64,82,85,74,74,97; Mean: ≈ 77.4 Standard deviation: ≈ 8.34 What can Mr. Martin most accurately conclude between the overall class test scores of 1st and 3rd blocks?

Answer 1

3rd block scores are more consistent than first block scores.

Explanation:

Given that Mr. Martin was comparing two random samples of students test scores from his Algebra III 1st and 3rd block classes:

Test scores from 1st block:

92,84,85,77,60,92,68,88,76,89,94,56,72,45,66;

Mean: ≈ 76.3 Standard deviation: ≈ 14.3

Test scores from 3rd block:

72,77,84,79,66,74,88,72,73,64,82,85,74,74,97;

Mean: ≈ 77.4 Standard deviation: ≈ 8.34

Since std deviation is lower in 3rd block, we can say 3rd block scores are consistent.

Answer 2

My answer to the problem is as follows:

A lower standard deviation would mean that more of those scores are closer to the mean. The 3rd class mean is higher also, so you could conclude that the 3rd block class had more consistent higher scores than the first.

I hope my answer has come to your help. God bless and have a nice day ahead!