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» Home » Basic Statistics »

Examples of Standard Deviation

          This tutorial is about some examples of standard deviation using all methods which are discussed in the pervious tutorial.

Example:
            Calculate the standard deviation for the following sample data using all methods: 2, 4, 8, 6, 10, and 12.
Solution:
            Method-I: Actual Mean Method

 





            Method-II: Taking Assumed Mean as

Total

 





            Method-III: Taking Assume Mean as Zero





            Method-IV: Taking as common divisor or factor

Total

 



Example:
            Calculate standard deviation from the following distribution of marks by using all the methods.

Marks

No. of Students

Solution:
            Method-I: Actual Mean Method

Marks

Total

 

 

           
             Marks

            Method-II: Taking assumed mean as  

Marks

Total

 

 

           
             Marks

            Method-III: Using assumed mean as Zero

Marks

Total

 

           
             Marks

            Method-IV: By taking  as the common divisor

Marks

Total

 

 

           
             Marks





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