There are two Classes A and B having 25 and 30 students respectively. In Class-A the highest score is 21 and lowest score is 17. In Class-B the highest score is 30 and lowest score is 22. Four students are shifted from Class-A to Class B. Consider the following statements: 1. The average score of Class-B will definitely decrease. 2. The average score of Class-A will definitely increase. Which of the above statements is/are correct?
Answers
The average score of Class-B will definitely decrease.
Given : There are two Classes A and B having 25 and 30 students respectively.
In Class-A the highest score is 21 and lowest score is 17.
In Class-B the highest score is 30 and lowest score is 22.
Four students are shifted from Class-A to Class B.
To Find : Correct Statement
1. The average score of Class-B will definitely decrease.
2. The average score of Class-A will definitely increase.
Solution:
In Class-A the highest score is 21 and lowest score is 17.
Hence class A average lies between 17 and 21
In Class-B the highest score is 30 and lowest score is 22.
Hence class B average lies between 22 and 30
Four students are shifted from Class-A to Class B.
4 Students will have average between 17 and 21
Hence Average of Class B which is more than 21 will definitely decrease
The average score of Class-B will definitely decrease.
Average of class A can remain same , decrease or increase depending upon the average of Class A and average of 4 students shifting to other class
so True statement is :
The average score of Class-B will definitely decrease.
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