Question 117

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

Solution

Average = $$\frac{Sum of Elements}{Number of Elements}$$

Given that Initially Number of Elements = 50

Initial Average = 38

Sum of Elements = 50 x 38 = 1900

Now as two numbers are discarded, hence number of elements left = 48

Sum of elements after discarding numbers = 1900 - 55 - 45 = 1800

Hence New Average = $$\frac{1800}{48}$$ = 37.5

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