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  3. Prove that the standard deviation of the first n natural numbers

. Prove that the standard deviation of the first n natural numbers

is natural numbers

Best Answer

Explanation:

First n natural numbers are 1, 2, 3 …………n

Mean of first n natural numbers  natural numbers

Now, Sum of the square of the first n natural numbers is Sum of the square

Standard deviation will be;

Sum of the square

 

Final Answer:

Hence, The standard deviation of the first n natural numbers is the first n natural numbers

 

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