Question

Two classes of students took the same exam. One class had 10 students and an arithmetic mean of 75%. The other class had 12 students and a weighted mean of 70%. What was the arithmetic mean for the larger class?

a) 72.5%
b) 73%
c) 74%
d) 75.5%

Answer 1

The arithmetic mean for the larger class is 70%.

Step-by-step explanation:

In order to find the arithmetic mean for the larger class, we need to find the total sum of the scores for that class and divide it by the number of students. Since the smaller class had 10 students and an arithmetic mean of 75%, we can find the total sum of their scores by multiplying the mean (75%) by the number of students (10). This gives us 750%. Similarly, for the larger class with 12 students and a weighted mean of 70%, we can find the total sum of their scores by multiplying the mean (70%) by the number of students (12). This gives us 840%. To find the arithmetic mean for the larger class, we divide the total sum (840%) by the number of students (12). The arithmetic mean for the larger class is 70%.