Correct Answer - Option 3 : 34
Given:
Average of P numbers = 32
75% of the numbers are increased by 6 each
Remaining numbers are decreased by 10 each
Formula used:
Average = Sum of observations/Number of observations
Calculation:
Let total number be 4
75% of total number (4) = 3
Now, 3 increased by 6 each
So, total increment = 6 × 3 = 18
And remaining number = (4 – 3) = 1
Now, 1 decreased by 10 each
So, total decrement = 1 × 10 = 10
Overall change = 18 – 10 = 8
Average change = 8/4 = 2
So, New average of P numbers = 32 + 2 = 34
∴ The new average of P numbers is 34