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