If a certain sample of data has a mean of 22.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean? Choose one
A) 12.0
B) 14.0
C) 17.0
D) 23.5
E) 26.5
Value ismore than 2.5SDfrom the mean means that the distance between the mean and the value must be more than 2.5*SD=7.5. So the value must be either less than 22-7.5= 
<gadget id="calculator">22-7.5</gadget>
<output>14.5</output>
14.5or more than 22+7.5=29.5.   Answer:14.0.
<result>B</result>
If a certain sample of data has a mean of 22.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?