Question

The average of 30 integers is 5. Among these 30 integers, there are exactly 20 which do not exceed 5. What is the highest possible value of the average of these 20 integers?
1. 5
2. 3.5
3. 4.5
4. 4

Answer 1

Correct Answer - Option 3 : 4.5

Calculation:

The Sum of integers is

⇒ 30 × 5 = 150

According to the question, 20 integers not exceed 5, and asked the maximum average

So, we have to find the minimum value of the remaining value of 10 integers

Which should be greater than 5.

Sum of 10 integers whose value of 6 is

⇒ 6 × 10 = 60

Remaining sum

⇒ 150 - 60 = 90

Average of 20 integers.

⇒ 90/20 = 4.5

∴ The highest average of 20 integers is 4.5.