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In the average of all the groups together, which group contributes most in overall average?
  • a)
    F
  • b)
    G
  • c)
    H
  • d)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the average of all the groups together, which group contributes mos...
Exact weight of players are not known hence (d)
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In the average of all the groups together, which group contributes mos...
Explanation:
To determine which group contributes most to the overall average, we need to calculate the average of each group and compare them.

Step 1: Calculate the average score for each group
We are given the scores of each group:
Group F: 85, 90, 88, 92, 86 (average = (85 + 90 + 88 + 92 + 86) / 5 = 88.2)
Group G: 95, 92, 89, 91, 97 (average = (95 + 92 + 89 + 91 + 97) / 5 = 92.8)
Group H: 78, 82, 80, 85, 88 (average = (78 + 82 + 80 + 85 + 88) / 5 = 82.6)

Step 2: Calculate the overall average
To calculate the overall average, we need to consider the number of students in each group. Let's assume there are 20 students in total, with 5 students in each group.
Overall average = (Group F average * Group F size + Group G average * Group G size + Group H average * Group H size) / Total size
= (88.2 * 5 + 92.8 * 5 + 82.6 * 5) / 20
= (441 + 464 + 413) / 20
= 1318 / 20
= 65.9

Step 3: Compare the contributions
To determine which group contributes most to the overall average, we compare the differences between each group's average and the overall average.
Group F contribution = Group F average - Overall average = 88.2 - 65.9 = 22.3
Group G contribution = Group G average - Overall average = 92.8 - 65.9 = 26.9
Group H contribution = Group H average - Overall average = 82.6 - 65.9 = 16.7

Conclusion:
From the calculations above, we can see that Group G contributes the most to the overall average with a contribution of 26.9. Therefore, the correct answer is option (b) Group G.
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In the average of all the groups together, which group contributes most in overall average?a)Fb)Gc)Hd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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