Question

The mean of 100 numbers is 60.If each number is doubled and then 10 subtracted from it, then the new mean is??

Answer 1

Answer:

110

Step-by-step explanation:

100 = 60

double

100 = 200    60 = 120

200 = 120

subtract 10

200 = 190     120 = 110

so ans is = 110

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Answer 2

The correct answer is 110.

Given: Mean = 60

Number of terms = 100.

To Find: New mean.

Solution:

Mean = $\frac{Sum of terms}{Number of terms}$

60 = $\frac{Sum}{100}$

Sum of terms = 60*100

Sum of terms = 6000

Now if each term is doubled then the sum will also be doubled.

New sum = sum*2

= 2*6000

New sum = 12000

Now if 10 is subtracted from each term then, there are 100 terms.

So total number subtracted is 10*100 = 1000

Final sum = New sum - 1000

= 12000-1000

= 11000

Final sum = 11000.

Mean = $\frac{Sum of terms}{Number of terms}$

= $\frac{11000}{100}$

Mean = 110

Hence, the new mean is 110.

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