Soru

Zorluk: KolayWeighted Average and Combined Sets

In a certain training program, Class A has 1515 participants with an average score of 8080 on a final exam, and Class B has 2525 participants with an average score of 8888 on the same exam. What is the average score for all 4040 participants combined?

Cevap: 85 points

Cevap

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 (15×80+25×88=3,40015 \times 80 + 25 \times 88 = 3,400) and divide by the total number of participants (15+25=4015 + 25 = 40). This gives a weighted average of 8585.

Adım Adım Çözüm

1
Find total score of Class A
1,200 points
Multiply the number of participants in Class A by their average score.
2
Find total score of Class B
2,200 points
Multiply the number of participants in Class B by their average score.
3
Find the total combined score
3,400 points
Add the total points from Class A and Class B together.
4
Calculate the weighted average score
85
Divide the total combined score by the total number of participants (15 + 25 = 40).

Anahtar Kavram

Weighted Average of Combined Sets
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