Chapter SR34, Problem 3P

Solution

To draw a stem-and-leaf plot to display the given data.

  $\begin{array}{l}\begin{array}{cc}3& 00\\ 4& 279\\ 5& 04449\\ 6& 557\\ 7& 03\end{array}\\ \text{Key: }3|0=30\end{array}$

Given:

The data, $\$50,\$42,\$65,\$54,\$70,\$65,\$59,\$30,\$67,\$49,\$54,\$30,\$73,\$47,\$54$.

Concept used:

To draw a stem-and-leaf plot, first write the leaves next to their stems for the given data and then order the leaves from least to greatest. In a number of the form ‘ab’, the leaf stem is a and the leaf is b.

Calculation:

In order to draw the stem-and-leaf plot of the given data, first write the leaves next to their stems as shown below

  $\begin{array}{cc}3& 00\\ 4& 297\\ 5& 04944\\ 6& 557\\ 7& 03\end{array}$

Now arrange the leaves from least to greatest order as shown below

  $\begin{array}{l}\begin{array}{cc}3& 00\\ 4& 279\\ 5& 04449\\ 6& 557\\ 7& 03\end{array}\\ \text{Key: }3|0=30\end{array}$

Thus, the stem-and-leaf plot of the given data is

  $\begin{array}{l}\begin{array}{cc}3& 00\\ 4& 279\\ 5& 04449\\ 6& 557\\ 7& 03\end{array}\\ \text{Key: }3|0=30\end{array}$