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 [tex]15x[/tex].
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 [tex]17\times 60=1020[/tex].
We know that mean is equal to sum of data divided by total numbers in data set.
[tex]\text{Average}=\frac{\text{Sum}}{\text{Count}}[/tex]
We are told that a class of 32 students has a mean test score of 75.
[tex]75=\frac{1020+15x}{32}[/tex]
[tex]75*32=\frac{1020+15x}{32}*32[/tex]
[tex]2400=1020+15x[/tex]
[tex]2400-1020=1020-1020+15x[/tex]
[tex]1380=15x[/tex]
[tex]\frac{1380}{15}=\frac{15x}{15}[/tex]
[tex]92=x[/tex]
Therefore, the mean score for the 15 female students was 92.
