Chapter 2.1, Problem 2.3CYU

To determine

To find: Standard deviation of the team member’s height.

Answer to Problem 2.3CYU

Standard deviation of the team member’s height is $S_x=2.35inches$

Explanation of Solution

Given information:

Dotplot of the class’s height distribution along with summary statistics from computer output.

If $x$ is an observation from a distribution that has known mean and standard deviation, so standardized score for $x$ is,

  $z=\frac{x-mean}{s\tan darddeviation}$

So here it is given that,

  $\begin{array}{l}z-score=-0.85\\ \overline{x}=76inches\end{array}$

  $\begin{array}{l}\frac{-0.85}{1}=\frac{74-76}{S_x}\\ \frac{-0.85S_x}{-0.85}=\frac{2}{-0.85}\\ S_x=2.35inches\end{array}$ .