For the set {2, 2, 3, 3, 4, 4, 5, 5,6,6 x}, which of the following values of x will most increase the standard deviation?  Choose the correct choice from the following options
A) 1
B) 2
C) (-3)^2
D) 4
E) 5
Standard Deviation Step 1, as pointed out by others, is to find out the mean = 4   Step 2, For each number: subtract the Mean and square the result =   (1-4)^2=(-3)^2   (2-4)^2=(-2)^2   (3-4)^2 =(-1)^2   (4-4)^2=(0)^2   (5-4)^2=(1)^2   Clearly (1-3.5)^2=(-2.5)^2 will give you the greatest value among all the other options.   Hence (-3)^2
<result>C</result>
For the set {2, 2, 3, 3, 4, 4, 5, 5,6,6 x}, which of the following values of x will most increase the standard deviation?