Question

Find the standard deviation if X = 10,15,20,25,30,35

Answer 1

deviation =10+15+20+25+30+35/6

=135/6

=22.5

Answer 2

The standard deviation is 8.539

Step-by-step explanation:

Data :10,15,20,25,30,35

Standard deviation =$\sqrt{\frac{\sum(x-\bar{x})^2}{n}}$

$Mean = \bar{x}=\frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \bar{x}=\frac{10+15+20+25+30+35}{6}\\Mean = \bar{x}=22.5$

Standard deviation =$\sqrt{\frac{\sum(x-\bar{x})^2}{n}}$

Standard deviation = $\sqrt{\frac{(10-22.5)^2+(15-22.5)^2+(20-22.5)^2+(25-22.5)^2+(30-22.5)^2+(35-22.5)^2}{6}}$

Standard deviation = 8.539

Hence The standard deviation is 8.539

#Learn more:

Find standard deviation

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