Correct option is C
Given:
Average of 50 numbers = 38
Numbers excluded = 45 and 55
Formula Used:
Sum of observations = Average × Number of observations
Solution:
Calculate the total sum of the 50 numbers:
Total Sum = 50 × 38 = 1900
Sum of the excluded numbers:
Excluded Sum = 45 + 55 = 100
Calculate the new sum of the remaining numbers:
New Sum = 1900 - 100 = 1800
The new number of observations is:
50 - 2 = 48
Calculate the new average:
New Average =
New Average = 37.5
Final Answer
So the correct answer is (c)