A class of 12 boys and 8 girls took a test. The girl's marks were 3, 6, 7, 8, 9, 9, 10 and 10.

  1. (a)

    Find the mean mark for the girls.

    Answer ...mark

  2. (b)

    The mean mark for the boys were 8.0.

    Find the mean mark for the whole class.

    Answer ...mark

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Worked solution

5(a)

1. Find the mean mark of the girls

There are 88 girls.

Sum of girls' marks:
3+6+7+8+9+9+10+10=623+6+7+8+9+9+10+10=62

Mean mark:
628=7.75\frac{62}{8}=7.75

Answer

7.757.75 marks

5(b)

1. Find the total marks for the boys and girls separately

Boys' total marks:
12×8.0=9612 \times 8.0 = 96
Girls' total marks from part (a):
8×7.75=628 \times 7.75 = 62

2. Find the mean mark for the whole class

Total number of students:
12+8=2012+8=20
Mean mark for the whole class:
96+6220=15820=7.9\frac{96+62}{20}=\frac{158}{20}=7.9

Answer

7.97.9 marks

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