SOLUTION: The mean of a distribution is 15 and the standard deviation is 3. Which of the following values is unusual? A.20 B.22 C.10 D.12

 

Hi,



Important to Understand z -values as they relate to the Standard Normal curve:

Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  

Note: z = 0 , 50% of the area under the curve is to the left and 50%  to the right



For the normal distribution: 

one  standard deviation from the mean accounts for about 68.2% of the set 

two standard deviations from the mean account for about 95.4% of the set****

and three standard deviations from the mean account for about 99.7%.



μ = 15 ,    σ = 3 

B. 22    > 2 standard diviations from the mean...UNUSUAL