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Find the mean, variance and standard deviation for the following data : 6, 7, 10, 12, 13, 4, 8, 12

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Find the mean, variance and standard deviation for the following data : 6, 7, 10, 12, 13, 4, 8, 12

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Explanation: Here, Mean  \(\bar{X}=\frac{6+7+10+12+13+4+8+12}{8}\)  

⇒  \(\bar{X}=\frac{72}{8}\) = 9

 And, n=8

Variance (X) 

 

\(\frac{74}{8}\) 

Variance = 9.25

 Standard deviation =\(\sqrt{Var(X)}\)  

\(\sigma=\sqrt{9.25}\)

Standard deviation = 3.04

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