Answer to Question #306445 in Statistics and Probability for Tarurendra Kushwah

Question

The mean of marks in Statistics of 100 students of a class was 72. The mean of marks of boys was 75 , while their number was 70. Find out the mean marks of girls in the class.

Answer 1

There are 100-70=30 girls in the class.

Let x be the mean marks of the girls.

$\frac{70*75+30*x}{100}=72.$

$30x=100*72-70*75=1950.$

$x=\frac{1950}{30}=65.$