The average of 7 numbers is 53. If each number is increased by 4, what will the new average be?

Correct option is D

Given:
Number of values = 7
Original average = 53
Increase in each number = 4
Formula Used:

Average =$$\frac{\text{(Sum of numbers)}}{\text{(Total number)}}$$​​
Solution:
The sum of the original 7 numbers = Average $$\times$$​ Number of values = 53$$\times$$ 7 = 371.
If each number is increased by 4, the total increase in the sum will be 7 $$\times$$ 4 = 28.
The new sum will be 371 + 28 = 399.
The new average =$$\frac{\text{New Sum}}{\text{Number of values}} = \frac{399}{7} = 57$$​​
Alternate Method:
Since each number is increased by 4, the average will also increase by 4.
Therefore, the new average = Original average + Increase = 53 + 4 = 57.