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The average of 50 numbers is 38. If the two numbers 45 and 55 are not considered, what will be the average of remaining numbers?
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A) 36.5 |
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B) 37 |
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C) 37.5 |
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D) 37.52 |
Correct Answer:
| C) 37.5 |
Description for Correct answer:
According to the basic formula of average, A = S / N
[A = Average, S = Sum, N = Number]
Therefore, 38 = \( \Large \frac{S}{50} \) => S= \( \Large 38 \times 50 \) = 1900
Sum of remaining numbers after eliminating 45 and 55 = 1900 - (45 + 55) = 1800
Average of remaining numbers = Sum of remaining numbers / Remaining number
= 1800 / (50-2) = \( \Large \frac{1800}{48} \) = 37.5
According to the basic formula of average, A = S / N
[A = Average, S = Sum, N = Number]
Therefore, 38 = \( \Large \frac{S}{50} \) => S= \( \Large 38 \times 50 \) = 1900
Sum of remaining numbers after eliminating 45 and 55 = 1900 - (45 + 55) = 1800
Average of remaining numbers = Sum of remaining numbers / Remaining number
= 1800 / (50-2) = \( \Large \frac{1800}{48} \) = 37.5
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