The average score for a class of 25 students was 75.If the 15 female students in the class averaged 70,then the male students in the class averaged:
A) 85.0
B) 82.5
C) 77.5
D) 75.0
E) 70.0

Question

Quizplus · Accepted Answer

We can use the formula:

average = (sum of all values) / (number of values)

Let's assume there are 10 male students in the class.

From the given information:

total number of students = 25
number of female students = 15
number of male students = 25 - 15 = 10

average score for the whole class = 75

Therefore,

(sum of scores of all students) / 25 = 75

sum of scores of all students = 25 * 75 = 1875

Now, let's assume the total score of all female students is F, and the total score of all male students is M.

From the given information:

average score of female students = 70
number of female students = 15

Therefore,

F / 15 = 70
F = 1050

Now,

M + F = 1875
M + 1050 = 1875
M = 825

So, the total score of all male students is 825, and the average score of male students is:

825 / 10 = 82.5

Therefore, the answer is:

Choice B: 82.5

The Average Score for a Class of 25 Students Was