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Methods of calculation of standard deviation
a.Calculation of Standard Deviation - Individual Series: There are two methods of calculating standard deviation in an individual observation or series
a.Deviation Taken from Actual Mean: This method is adopted when the mean is a whole number of an even number . the followings are the steps.
1.Find out the actual mean of the series (x¯ ) .
2.Find out the deviation of each value from the mean ( X - x¯)
3.Square the deviations and take the total of squared devotions∑ X2.
4. Divide the total (∑X2) by the number of observations. The square root of the quotient is standard deviation. Thus apply the following formula:
= √∑X2/ N or √ ∑ (X- x¯ )/ N
Advantages of Mode a.It is easy to understand as well as easy to calculate. In can be found out by inspection. b.It is usually an exacta value as it occurs most fre
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