The average score for a class of 35 students was 70.The 20 male students in the class averaged 73.What was the average score for the 15 female students in the class?
A)73
B)70
C)66
D)60

Question

Quizplus · Accepted Answer

We know that the average score for the entire class of 35 students was 70. Therefore, the total score of all the students combined was:

Total score = Average score * Number of students
Total score = 70 * 35
Total score = 2450

We also know that the 20 male students in the class averaged 73. Therefore, the total score of all the male students combined was:

Total male score = Male average * Number of male students
Total male score = 73 * 20
Total male score = 1460

To find the total score of all the female students, we can subtract the total male score from the total score of all the students:

Total female score = Total score - Total male score
Total female score = 2450 - 1460
Total female score = 990

Finally, we can find the average score for the female students by dividing the total female score by the number of female students:

Female average = Total female score / Number of female students
Female average = 990 / 15
Female average = 66

Therefore, the average score for the 15 female students in the class was 66.

The Average Score for a Class of 35 Students Was