Question 145

Forthe ten observations X1, X2, ......, X10 it is given that $$\sum_{i = 1}^{10} x_i = 12$$ and $$\sum_{i = 1}^{10} x_i^2 = 18$$ Then the standard deviation of the data is:

Solution

Mean($$\overline{x}$$)=$$\frac{1}{n}$$ $$\Sigma_{i=1}^{10}x_i\ $$=$$\ \frac{12 }{10 }$$=1.2

Standard deviation= $$\sqrt{\frac{\Sigma_{i=1}^{10}x_i^{2}{n}}}\$$


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