For the set { 4, 4, 5, 5, x}, which of the following values of x will most increase the standard deviation?	Select the correct option
A) 1 B) (-3.5)^2 C) 3 D) 4 E) 5
Standard Deviation Step 1, as pointed out by others, is to find out the mean = 4.5   Step 2, For each number: subtract the Mean and square the result =   (1-4.5)^2=(-3.5)^2   (2-4.5)^2=(-2.5)^2   (3-4.5)^2 =(-1.5)^2   (4-4.5)^2=(.5)^2   (5-4.5)^2=(.5)^2   Clearly (1-4.5)^2=(-3.5)^2 will give you the greatest value among all the other options.   Hence (-3.5)^2
<result>B</result>
For the set { 4, 4, 5, 5, x}, which of the following values of x will most increase the standard deviation?