In a certain training program, Class A has 15 participants with an average score of 80 on … — GMAT

In a certain training program, Class A has $15$ participants with an average score of $80$ on a final exam, and Class B has $25$ participants with an average score of $88$ on the same exam. What is the average score for all $40$ participants combined?

Answer: 85 points

Answer

The combined average score for all 40 participants is 85.

To find the combined average of two groups of different sizes, sum the total values of both groups (

15 \times 80 + 25 \times 88 = 3,400

) and divide by the total number of participants (

15 + 25 = 40

). This gives a weighted average of

85

Step-by-Step Solution

Find total score of Class A

1,200 points

Multiply the number of participants in Class A by their average score.

Find total score of Class B

2,200 points

Multiply the number of participants in Class B by their average score.

Find the total combined score

3,400 points

Add the total points from Class A and Class B together.

Calculate the weighted average score

Divide the total combined score by the total number of participants (15 + 25 = 40).

Key Concept

Weighted Average of Combined Sets

Estimated Time:1m 0s

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