Question

the average of a list of 4 numbers is 92.0 . a new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 40 , and the fourth number in the new list is 48 . what is the average of this new list of numbers?

Answer 1

The average of the new list of 4 numbers is 94.

If the average of the original list of 4 numbers is 90, then the sum of these 4 numbers is:

4 x 90 = 360

If the 4th number in the original list is 80, then the sum of the first 3 numbers in the original list is:

360 - 80 = 280

If the first 3 numbers in the new list are the same as in the original list then the sum of these new first 3 numbers is also:

280

If the 4th number in the new list is 96 then the sum of the 4 numbers in the new list is:

280 + 96 = 376

Therefore, the average of the new list of 4 numbers is:

376 / 4 = 94

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