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Find the mean, variance, and standard deviation of the sample with

n = 10 , ∑x = 210 and ∑x² = 5006

Use the given information above to find:
Mean =
Variance = (round the result to one decimal place)
Standard Deviation = (Round the result to one decimal place).

Please help!

Sagot :

Mean:-

[tex]\\ \tt\hookrightarrow \dfrac{\sum x}{n}=\dfrac{210}{10}=21[/tex]

Standard Deviation:-

[tex]\\ \tt\hookrightarrow \sqrt{\dfrac{\sum x^2}{n}-(\sum x/n)^2}[/tex]

[tex]\\ \tt\hookrightarrow \sqrt{\dfrac{5006}{10}-(21)^2}[/tex]

[tex]\\ \tt\hookrightarrow \sqrt{500.6-441}[/tex]

[tex]\\ \tt\hookrightarrow \sqrt{59.6}[/tex]

[tex]\\ \tt\hookrightarrow 7.72[/tex]

Variance:-

[tex]\\ \tt\hookrightarrow (S. D)^2=(7.72)^2=59.6[/tex]

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