If we have to define standard deviation then it will be:-
Standard deviation is a measure of how far apart the data are from the average of the data. If all the observations are close to their average then the standard deviation will be small.
Standard deviation is a widely used measure of the variability or dispersion, being algebraically more tractable though practically less robust than the expected deviation or average absolute deviation. The standard deviation of a Normal probability distribution is the same as that of a random variable having that distribution. Computation of the standard deviation is a bit tedious.
Let us now see how to find Standard Deviation.
Below are the steps to involved in computing Standard Deviation
Compute the mean for the data set.
Compute the deviation by subtracting the mean from each value.
Square each individual deviation.
Add up the squared deviations.
Divide by one less than the sample size.
Take the square root.
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