Question

Find the standard deviation of 8,12,13,15,22.

Answer 1

standard form 8.12131522×10 power 7
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Answer 2

Answer:

The standard deviation of 8,12,13,15,22 is 4.604

Step-by-step explanation:

Data : 8,12,13,15,22.

Mean =$\bar{x} =\frac{\text{Sum of all observations}}{\text{no. of observations}}$

Mean =$\bar{x} =\frac{8+12+13+15+22}{5}$

Mean =$\bar{x} =14$

Formula of standard deviation : $\sigma = \sqrt{\frac{\sum(x-\bar{x})^2}{n}}$

Substitute the values

$\sigma = \sqrt{\frac{(8-14)^2+(12-14)^2+(13-14)^2+(15-14)^2+(22-14)^2}{5}}$

$\sigma =4.604$

Hence the standard deviation of 8,12,13,15,22 is 4.604