Question

A group of 90 college students consisting of Freshmans and Sophmores were given an IQ test. Suppose that the average for the group was 113. The 40 Freshmans had an average score of 107. Find the average of the Sophmores.

Answer 1

Answer:

average of the Sophmores = 117.8

Explanation:

given data

group of college students = 90

average for group = 113

Freshmans  = 40

average score = 107

solution

we get here total of group points for all people is

total of group points =  90 × 113 = 10170

and

here Freshman came from group

Freshman came = 40 × 107 = 4280

so

Sophmores  is =  10170  - 4280  = 5890

so

average of the Sophmores is

average of the Sophmores = $\frac{5890}{90-40}$  

average of the Sophmores = 117.8