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Topic Content:
- Definition of Standard Deviation (S.D or S)
- Steps involved in the calculation of standard deviation
What is Standard Deviation?
Standard Deviation is the positive square root of the arithmetic mean. It is used to find the extent to which numerical data spread about their arithmetic means or average. The square root variance is the standard deviation.
Standard deviation is the root mean square of the deviation from the mean. It is measured from the mean and not from the other central tendencies (mode or median).
S.D = \(\sqrt{ \frac{\sum \left ( x \: – \: \bar{x} \right )^2}{n}} \) (ungrouped data)
Grouped Data = S.D = \(\sqrt{ \frac{\sum f \left ( x \: – \: \bar{x} \right )^2}{\sum f}} \)
The steps involved in the calculation of standard deviation are as follows:
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