The average of fifty numbers is 34. if two numbers, namely 34 and 22 are discarded, the average of the remaining numbers is:

Correct option is C

Given:

Average of 50 numbers = 34

Discarded numbers = 34 and 22

Remaining numbers = 50 - 2 = 48

Formula Used:

Average = $$\frac{\text{Total Sum}}{\text{Total number}}$$​​

Solution:

Total sum of 50 numbers = 50 × 34 = 1700

Sum of discarded numbers = 34 + 22 = 56

Correct total sum = 1700 - 56 = 1644

Correct average = $$\frac{1644} { 48}$$​ = 34.25