Group B's average?

Question

100 people took a test Group A was 24 people and got an average of 76%. Group B was 76 people. The average for the whole group was 61% What was Group B's average?

Answer 1

The average on a test was 61% for 100 people.  Let's say there were 100 points possible on the test.

 

0.61(100)(100) = 6100 points earned total out of 10000 points possible

 

Group A has 24 people and averaged 76%.

 

0.76(100)(24) = 1824 points earned by Group A

 

6100 - 1824 = 4276 points earned by Group B

 

Group B consists of 76 people.

 

4276/((76)(100) = 0.563

 

So Group B's average was 56.3%