SOLUTION: If I have the mean (111.16 and std. deviation(32.83) of 135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85 how do I determine within how many std. dev. of the mean do all the val

Algebra ->  Permutations -> SOLUTION: If I have the mean (111.16 and std. deviation(32.83) of 135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85 how do I determine within how many std. dev. of the mean do all the val      Log On


   

Question 714989: If I have the mean (111.16 and std. deviation(32.83) of 135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85 how do I determine within how many std. dev. of the mean do all the values fall?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The smallest value is 69. This value is has a z-score of

z = (69-111.16)/(32.83)

z = -1.28419


The largest value is 161. This value is has a z-score of

z = (161-111.16)/(32.83)

z = 1.51812

So all of the values fall within 1.51812 standard deviations away from the mean