Consider the first 10 positive integers. If we multiply each numbers by -1 and then add 1 to each number, the variance of the numbers so obtained is

Question

Philoid · Accepted Answer

Consider 10 positive integer

Let Assume, 1,2,3,4,5,6,7,8,9,10

Now, If we multiply by -1 in each number we get,

-1,-2,-3,-4,-5,-6,-7,-8,-9,-10

And then we add 1 in each number

0,-1,-2,-3,-4,-5,-6,-7,-8,-9

Now,

Standard deviation

Hence, variance is 8.25