Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -4 then by what factors will the Mean,Variance and Standard Deviation respectively change ? Choose one:
A) -4,-4,-4 B) -4,4,4 C) 1,1,1 D) -4,16,4 E) 4,4,16
Mean: If all values are multiplied by -4 then their sum will also be multiplied by -4 so Mean will also get -4   Variance:   Variance is equal to (Sum of (Square of (the difference between mean and individual values))/Total number of values   When we multiply all the values by -4 then the difference between the mean and the individual values also gets multiplied by -4 and the square of that difference becomes 16. So, the variance gets multiplied by a factor of 16   SD:   Standard Deviation is the square root of variance so sqrt(16)=4. So SD gets multiplied by a factor of 4.   So, answer will be -4,16,4.
<result>D</result>
Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -4 then by what factors will the Mean,Variance and Standard Deviation respectively change ?