Question

In olympics, a game has 2 groups A and B having participants from 20 and 25 countries respectively having an average score of 20 and 25 respectively. Also,
A: Highest score: 25 Lowest score: 15
B: Highest score: 32 Lowest score: 24
What can be the minimum and maximum value of A's average if 5 teams are transferred from B to A?​

Answer 1

For minimum, teams with minimum score would be transferred from A to B

So, total score transferred = 15 * 5 = 75

B (minimum average)

25×25+75 = 23.33

30

For maximum, teams with maximum score would be transferred from A to B

So, total score transferred = 25 * 5 = 125

B(minimum average)

25×25+125 = 25

30

Hence, the answer is "23.33 and 25".

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