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Find the mean, variance and standard deviation for the first six odd natural numbers.

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Odd natural numbers = 1, 3, 5, 7, 9, … 

First Six Odd Natural Numbers = 1, 3, 5, 7, 9, 11 

To find: MEAN We know that,

Mean (\(\overline{X}\)) = \(\frac{Sum\,of\,observations}{Total\,number\,of\,observations}\) 

\(\frac{1+3+5+7+9+11}{6}\)  

\(\frac{36}{6}\) 

\(\overline{X}\) = 6

To find: VARIANCE

\(\frac{70}{6}\) 

= 11.67

To find: STANDARD DEVIATION

Standard Deviation (σ) = \(\sqrt{Variance}\)

\(\sqrt{11.67}\) 

= 3.41

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