COMPARING WAYS TO REPRESENT DATA.

Use the golf-tournament data below to complete parts (a) through (e).

Ages of golfers participating in a golf tournament:

$44,48,40,$ $25,28,37,29,$ $34,45,51,43,$ $35,38,57,50,$
$35,47,30,$ $63,43,44,$ $60,46,43,33,$ $45,42,34,32$

1. Use the data to create a dot plot.

   Hint (a):

   Your dot plot may look like the one below. 

   $\begin{array}{ccccccccccccccccccc} \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \bigcirc \\ \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \bigcirc & \bigcirc & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \bigcirc \\ \bigcirc & \newcommand{blank}{\ } & \newcommand{blank}{\ } & \bigcirc & \bigcirc & \bigcirc & \newcommand{blank}{\ } & \bigcirc & \bigcirc & \bigcirc & \bigcirc & \newcommand{blank}{\ } & \bigcirc & \bigcirc & \newcommand{blank}{\ } & \bigcirc & \newcommand{blank}{\ } & \bigcirc & \bigcirc \\ \hline 25 & 26 & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36 & 37 & 38 & 39 & 40 & 41 & 42 & 43 \end{array}$

2. Why is a dot plot not the best choice for graphing this data?

   Hint (b):

   Explain in your own words.

3. Create a stem-and-leaf plot for the data.

   Answer (c):

   Below the stem is the first column.  The leaves are represented by the other columns.

   $\begin{array} {c | c c c c c c c c c c c c} 2 & 5 & 8 & 9\\ 3 & 0 & 2 & 3 & 4 & 4 & 5 & 5 & 7 & 8\\ 4 & 0 & 2 & 3 & 3 & 3 & 4 & 4 & 5 & 5 & 6 & 7 & 8\\ 5 & 0 & 1 & 7\\ 6 & 0 & 3 \end{array}$

4. Use the stem-and-leaf plot to create a histogram for the data.

   Answer (d):

   

5. What range of ages do most golfers fall between? Do you see any ages that are much larger or smaller than other ages?

• Hint (e):

  Look at the plots and histogram you created to help you answer these questions.