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The average of 50 numbers is 38 . If two numbers 45 and 55 are excluded, then what will be the average of the remaining numbers?
Question

The average of 50 numbers is 38 . If two numbers 45 and 55 are excluded, then what will be the average of the remaining numbers?

A.

36.5

B.

37

C.

37.5

D.

37.52

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 = 180048\frac{1800}{48}​​
New Average = 37.5
Final Answer
So the correct answer is (c)

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