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.