1.

The mean of 12 numbers is 40. If each number is divided by 8, what will be the mean of the new numbers?

Answer»

Consider x1, x2, ……. x12 as the given numbers

So we get

Mean = [x1 + x2 + ……. + x12]/12

It is given that mean = 40

(x1 + x2 + ……. + x12)/12 = 40

By cross multiplication

x1 + x2 + ……. + x12 = 480 …… (1)

Take (x1 ÷ 8), (x2 ÷ 8), ……… (x12 ÷ 8) as new numbers

So the mean of new numbers = [(x1 ÷ 8) + (x2 ÷ 8) + ……… + (x12 ÷ 8)]/12

From equation (1) we get

[(x1 ÷ 8) + (x2 ÷ 8) + ……… + (x12 ÷ 8)]/12 = (480 ÷ 8)/12

On further calculation

Mean of new numbers = 60/12 = 5

Therefore, the mean of the new numbers is 5.


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