Question

Suppose that a class of 32 students has a mean test score of 75. The 17 male students in the class had a mean score of 60. What was the mean score for the 15 female students? (Use at least two decimals of accuracy when applicable)

Answer 1

Answer:

92

Step-by-step explanation:

Let x represent the mean test scores of each female student.

The total scores of 15 female students would be $15x$.

We have been given that the 17 male students in the class had a mean score of 60.

The total scores of 17 male students would be $17\times 60=1020$.

We know that mean is equal to sum of data divided by total numbers in data set.

$\text{Average}=\frac{\text{Sum}}{\text{Count}}$

We are told that a class of 32 students has a mean test score of 75.

$75=\frac{1020+15x}{32}$

$75*32=\frac{1020+15x}{32}*32$

$2400=1020+15x$

$2400-1020=1020-1020+15x$

$1380=15x$

$\frac{1380}{15}=\frac{15x}{15}$

$92=x$

Therefore, the mean score for the 15 female students was 92.