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drek231 [11]
3 years ago
5

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)
Mathematics
1 answer:
Semenov [28]3 years ago
8 0

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.

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