Question

20 men, 10 women and 10 children are in a competition.
The mean score for the women is 15.6. The mean score for the children is 9.2.
Kevin says that the mean score for all 40 people is 11.2.
Work out the mean score for the men.

Answer 1

mean score of men = 10

Step-by-step explanation:

No. of women = 10

mean score of women = 15.6

(a+b+c+--------+j)/10 = 15.6

(a+b+c+--------+j) = 156

No.of children = 10

mean score of children is 9.2

(a+b+c+-----+j) =92

Total mean score of all 40 people = 11.2

then ,

a1+a2+a3+-----a40 =40×11.2 =448

=448 - 156 - 92 = 200

mean score of boys = 200/20 =10