Standard Deviation:
The Positive square root of average of squared deviations of all the observations taken from their mean is called as standard deviation. It is generally denoted by Greek alphabet s or s.
Variance:
The square of standard deviation is called as variance and is represented by σ2.
Coefficient of the Standard Deviation:
It is ratio of the standard deviation to it is A.M. that is Coefficient of standard deviation = σ/x.
Standard Deviation for the Ungrouped Data:
Direct method:
In the case of individual series, standard deviation can be attained by the formula.
[First Form]
here d = x - 
and x = value of variable or observation, = arithmetic mean, n = the total number of observations.
Short-cut Method:
This method is applied to compute Standard deviation, when mean of the data comes out as a fraction. In that particular case it is difficult to find the deviations of all observations from the mean by the previous method. The formula used can be
[2nd Form] where d = x - A, A = assumed mean, n = the total number of observations.
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