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:
When data is given on individual basis. Following is an example of individual series:
Items | 5 | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
---|
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 |
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 |