Answer to Question #333252 in Statistics and Probability for haruto

Question

5 10 15 20 25 30 35 40

illustrate the variance and standard deviation

Answer 1

$\mu =(5+10+15+20+25+30+35+40)/8=22.5$

$D=\frac{\sum (x-\mu)^2}{n}=\frac{306.25+156.25+56.25+6.25+6.25+56.25+156.25+306.25}{8}=131.25$

$\sigma=\sqrt D=\sqrt{131.25}=11.46$