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what is the standard deviation between 2,2,4 and 4

 Apr 19, 2015

Best Answer 

 #1
avatar+250 
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Standard Deviation is the square root of the Variance, so whats the variance?

 

The variance is the average of the squared distances between the data point's and their mean, so first find the mean.

 

Here the data points are 2, 2, 4, 4

 

Mean is (2+2+4+4) / 4 = 3

 

Now for all data points find out the distance they are away from the mean, then square them to get the squared distance away from the mean

 

Since mean = 3 , squared distance for a data point is:--> (2 - 3)^2 = 1  ,  (2 - 3)^2 = 1  ,  (4 - 3)^2 = 1,  (4 - 3)^2 = 1.

 

Like said before, the variance is the average(mean) of all these points:

 

Average squared distance (Variance) = (1 + 1 + 1 + 1) / 4 = 1

 

Standard Deviation is the square root of the Variance = sqrt(1) = 1.

 Apr 19, 2015
 #1
avatar+250 
+5
Best Answer

Standard Deviation is the square root of the Variance, so whats the variance?

 

The variance is the average of the squared distances between the data point's and their mean, so first find the mean.

 

Here the data points are 2, 2, 4, 4

 

Mean is (2+2+4+4) / 4 = 3

 

Now for all data points find out the distance they are away from the mean, then square them to get the squared distance away from the mean

 

Since mean = 3 , squared distance for a data point is:--> (2 - 3)^2 = 1  ,  (2 - 3)^2 = 1  ,  (4 - 3)^2 = 1,  (4 - 3)^2 = 1.

 

Like said before, the variance is the average(mean) of all these points:

 

Average squared distance (Variance) = (1 + 1 + 1 + 1) / 4 = 1

 

Standard Deviation is the square root of the Variance = sqrt(1) = 1.

Brodudedoodebrodude Apr 19, 2015
 #2
avatar+118723 
0

Thanks Brodudedoodebrodude      and welcome to the forum :)

 Apr 20, 2015

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