Q18 of 108 Page 33

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

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

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