Chapter 12.2, Problem 24PPS

To determine

To find : Standard deviation of data.

Answer to Problem 24PPS

  $0.124$

Explanation of Solution

Given information :

While training, Aiden recorded his times in $40\text{m}$ dash.

Formula Used:

  $\sigma =\sqrt{\frac{{\displaystyle \sum _{k=1}^w{(x_k-\mu )}^2}}{n}}$

Calculation :

  $\begin{array}{l}\mu =4.8533\\ {\displaystyle \sum _{k=1}^n{(x_k-\mu )}^2=0.46128}\\ \sigma =\sqrt{\frac{0.46128}{30}}=0.124\end{array}$

Standard deviation is $0.124$ .