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Calculate the mean and standard deviation for the set of numbers

{11,16, 20,17}

Whiz333  Jun 24, 2017
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Mean   =  [ 11 +  16 + 20 + 17 ] / 4  =  [ 64] / 4  =16

 

Variance  =   [  (11-16)^2 + (16 - 16)^2 + (20 - 16)^2 + (17-16)^2 ] / 4 =

 

[  25  +  0 +  16  + 1 ]  / 4  =    [ 42 / 4]   =   [21 / 2 ]  =  10.5

 

Standard deviation  = √Variance  = √10.5  ≈  3.24    [assuming a populaton]

 

If this is a sample  the  Variance is  [42 / (4 -1) ] =    [42 / 3 ]  =  14

 

And the Standard Deviation  = √14  ≈  3.74

 

 

cool cool cool

CPhill  Jun 24, 2017

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