Question : The average of six numbers is 3.52. The average of two of them is 3.7, while the average of the other two is 2.5. What is the average of the remaining two?
Option 1: 3.7
Option 2: 2.5
Option 3: 4.36
Option 4: 3.52
Correct Answer: 4.36
Solution :
Given: The average of six numbers = 3.52.
The average of two of them = 3.7
The average of the other two is 2.5
We know that, the sum of numbers = Average × Count of numbers
So, the total sum of six numbers = 3.52 × 6= 21.12
And, the total sum of the first two numbers = 3.7 × 2 = 7.4
And, the total sum of the other two numbers = 2.5 × 2 = 5
So, the total sum of remaining two numbers = 21.12 – 7.4 – 5 = 8.72
Now, Average of remaining two numbers = $\frac{8.72}{2}$ = 4.36
Hence, the correct answer is 4.36.
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