Standard Deviation


Statistics – Standard Deviation


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Standard deviation is the square root of the average of squared deviations of the items from their mean. Symbolically it is represented by ${sigma}$.

We”re going to discuss methods to compute the Standard deviation for three types of series:

Individual Data Series

When data is given on individual basis. Following is an example of individual series:

Items 5 10 20 30 40 50 60 70

Discrete Data Series

When data is given alongwith their frequencies. Following is an example of discrete series:

Items 5 10 20 30 40 50 60 70
Frequency 2 5 1 3 12 0 5 7

Continuous Data Series

When data is given based on ranges alongwith their frequencies. Following is an example of continous series:

Items 0-5 5-10 10-20 20-30 30-40
Frequency 2 5 1 3 12

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