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In Law / College | 2025-07-05

How many steps are in the calculation of standard deviation from the mean?

Asked by julianjsekon

Answer (1)

To calculate the standard deviation from the mean, there are typically 4 main steps involved:

Calculate the Mean : Add up all the data points and then divide by the number of data points to find the mean (average).
Mean = n ∑ x ​
where ∑ x is the sum of all data points and n is the number of data points.

Find the Deviations from the Mean : Subtract the mean from each data point to find the deviation of each point.
Deviation = x − Mean

Square the Deviations : Square each of the deviations from the mean. This eliminates negative values and gives more weight to larger deviations.
Squared Deviation = ( x − Mean ) 2

Calculate the Variance and Then the Standard Deviation :

Variance : Find the average of these squared deviations.

For a population standard deviation, divide by n (the number of data points).

Variance = n ∑ ( x − Mean ) 2 ​

For a sample standard deviation, divide by n − 1 .

Sample Variance = n − 1 ∑ ( x − Mean ) 2 ​

Standard Deviation : Take the square root of the variance to get the standard deviation.


Standard Deviation = Variance ​


So, the correct option is 4 steps.

Answered by OliviaMariThompson | 2025-07-07

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