Answer to Question #151047 in Statistics and Probability for Flexus

Question

Find the mean and standard deviation of the sample data set. Show your complete solution.

A. Ages of Shoppers. The ages (in years) of a random sample of shoppers at a clothing outlet.

16 18 19 17 14 15 17 17 17 16 19 22 24 14 16 14 17 16 14 18

Answer 1

Mean

$\bar x=\frac{\sum_i^n x_i}{n}$

=$\frac{16+18+19+...+18}{20}$

=$\frac{340}{20}$

=17

standard deviation

$s=\sqrt{\frac{\sum_i^n (x_i-\bar x)^2}{n-1}}$

=$\sqrt{\frac{(16-17)^2+(18-17)^2+(19-17)^2+...+(18-17)^2}{20-1}}$

=$\sqrt{\frac{128}{19}}$

=2.5955