If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean?
I. 14.7
II. 9.2
III. 9.7  Pick one:
A) I only B) I and II only C) II only D) III only E) I and III only
Mean = 12   SD = 1.3   2 SD above mean = 12+2*1.3= 
<gadget id="calculator">12+2*1.3</gadget>
<output>14.6</output>
14.6   2 SD below mean= 12-2*1.3= 
<gadget id="calculator">12-2*1.3</gadget>
<output>9.4</output>
9.4   only 9.7 lies in the range of 2SD from mean   Answer: Option I and II only
<result>B</result>
If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean?
I. 14.7
II. 9.2
III. 9.7