The mean test score for girls was 92 points and 87 points for boys. If 12 girls and 10 boys took the test, what was the mean for the entire class?

Question

Answer needs to be in decimal to the nearest hundredth.

Answer 1

92(12) + 87(10))/(12+10)= (1104+ 870)/22 = 1974/22=

= 987/11 = 89.73 = mean for entire class, rounded to 2 decimal places

you know it's somewhere between 92 and 87, and a little closer to 92 than to 87, given more girls than boys

exact midway = average of 92 and 87 = 179/2 = 89.5. a little closer to 92 than 87 is slightly more than 89.5 such as 89.73