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19 December, 00:53

Class A has 11 pupils and class B has 15 pupils.

Both classes sit the same maths test.

The mean score for class A is 77.

The mean score for both classes is 49.

What is the mean score (rounded to 2 DP) in the maths test for class B?

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  1. 19 December, 01:06
    0
    The mean score in the math test for class B=28.47

    Step-by-step explanation:

    Step 1: Determine the total number of students in both Classes

    Total number of students=number in class A+number in class B

    where;

    number in class A=11 pupils

    number in class B=15 pupils

    replacing;

    Total number of students=11+15=26 students

    Step 2: Determine total score for both classes

    Total score for both classes=total score for class A+total score for class B

    total score for both classes=mean score for both classes*total number of students

    total score for both classes = (49*26) = 1,274

    total score for class A=mean score for class A*total number of class A students

    total score for class A = (77*11) = 847

    total score for class B=mean score for class B*total number of class B students

    total score for class B=m*15=15 m

    replacing;

    1,274=847+15 m

    15 m=1,274-847

    15 m=427

    m=427/15=28.47

    The mean score in the math test for class B=28.47
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