The average of 50 numbers is 38. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is ?

Answer: Option A

According to the question,
Average of 50 numbers is = 38
Sum of 50 numbers is = 38 × 50 = 1900
Two numbers discarded = 45 + 55 = 100
Sum of 48 numbers = 1900 - 100 = 1800
∴ Average = $$\frac{1800}{48}$$   = 37.5