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Directions: Read the following and answer the questions that follow. There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20, 25 and 30 respectively. If the three classes are represented by A, B and C and you have the following information above t

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Directions: Read the following and answer the questions that follow.

There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20, 25 and 30 respectively. If the three classes are represented by A, B and C and you have the following information above the three cases, answer the questions that follow:

A’s highest score 22, Lowest score 18

B’s highest score 31, Lowest score 23

C’s highest score 33, Lowest score 26

If five students are transferred from A to B.


What will be the minimum possible average of Group A if 5 students are transferred from A to B?
1). 19.33
2). 21.5
3). 22.5
4). 20.5


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1 answers

3 vote
Answered by on | Votes 3 |

Present total marks of Group A = 20 × 20 = 400

Highest score of Group A = 22

Total marks of 5 students of Group A = 22 × 5 = 110

New total marks = 400 - 110 = 290

∴ New average = $(\frac{{290}}{{15}} = 19.33)$

Hence, 19.33 is the new average.

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