Chapter 2.1, Problem 2.2CYU

To determine

To find: Height of Brent compared with rest of the class.

Answer to Problem 2.2CYU

Brent height is $1.63$ standard deviation above the mean.

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,

  $x=74$

And from the given dot plot $\overline{x}=67$ and standard deviation is $S_x=4.29$ .

  $\begin{array}{l}z=\frac{74-67}{4.29}\\ z=1.63\end{array}$