Question

Class A has 12 pupils and class B has 29 pupils.

Both classes sit the same maths test.
The mean score for class A is 52.
The mean score for both classes is 24.
What is the mean score (rounded to 2 DP) in the maths test for class B?

Answer 1

The mean score in the maths test for class B was 12.41 points.

Explanation:

Given that Class A has 12 pupils and class B has 29 pupils, and both classes sit the same maths test, and the mean score for class A is 52 while the mean score for both classes is 24, to determine what is the mean score in the maths test for class B the following calculation must be performed:

52 x 12 + X x 29 = 24 x (12 + 29)

624 + 29X = 24 x 41

624 + 29X = 984

29X = 984 - 624

X = 360/29

X = 12.41

Therefore, the mean score in the maths test for class B was 12.41 points.