Chapter 13.2, Problem 16PPS

(a)

To determine

To Draw: The Stem-and-leaf plot of the data.

Answer to Problem 16PPS

  

Explanation of Solution

Given: Display the data in length in inches of the students in your class in frequency table.

Make the stem-and-leaf plot.

Let the data recorded is

  

The stem-and-leaf plot of the data is shown below:

  

(b)

To determine

To Explain: The data.

Answer to Problem 16PPS

Mean= $7$

Median= $5$

Mode= $8$

Explanation of Solution

Given: Display the data in length in inches of the students in your class in frequency table.

Analyze the data. Then write summary explaining your data.

Finding Mean:

  $\begin{array}{l}\text{Mean=}\frac{\text{sum of observation}}{\text{total number of observation}}\\ Mean=\frac{5+4+6+7+2+8+8+9+10+11}{10}\\ Mean=\frac{70}{10}=7\end{array}$

Mean= $7$

The number of observations is even

Thus

Median

  $\begin{array}{l}5,4,6,7,2,8,8,9,10,11\\ median=\frac{8+2}{2}=5\end{array}$

Median= $5$

Mode= $8$