Chapter 14.2, Problem 33E

To determine

To find: The comparison between Kwan with the other team members.

Answer to Problem 33E

Kwan is below most measures of the centre of the data.

Explanation of Solution

Given:

The Kwan height is $5^{\prime }{9}^{″}$ .

The height of other basketball member are:

  $5^{\prime }11^{″},6^{\prime }{0}^{″},5^{\prime }{7}^{″},6^{\prime }{3}^{″},6^{\prime }{1}^{″},6^{\prime }{6}^{″},5^{\prime }{8}^{″},5^{\prime }{9}^{″},\text{and}{6}^{\prime }{2}^{″}$ .

Write the given heights in inches as:

  $67,68,69,69,71,72,73,74,75,78$ .

The Kwan height is in inches $69$ .

The mean, median and mode is calculated as:

  $\begin{array}{c}\overline{x}=\frac{67+68+69+69+71+72+73+74+75+78}{10}\\ =71.6\\ \text{Median}=\frac{1}{2}\left(\frac{10}{2}\text{th term}+\left(\frac{10}{2}+1\right)\text{th term}\right)\\ =\frac{71+72}{2}\end{array}$

Further simplified as:

  $\begin{array}{c}\text{Median}=71.5\\ \text{Mode}=69\end{array}$

The mean is $71.6\text{inches}$ . The mode is $\text{69}\text{inches}$ . The median is $71.5\text{inches}$ . Kwan is below most measures of the centre of the data.