Question

Make a histogram from the stem-and-leaf plot. Don not use the same intervals in your histogram as are used in the stem-and-leaf plot.

$\begin{array}{l}\begin{array}{ccccccccccc}9& 1& 3& 5& 7& 8& 8& 9& & & \\ 10& 2& 2& 2& 2& 3& 7& 7& 8& 9& \\ 11& 3& 5& 7& & & & & & & \\ 12& 1& 2& 5& 6& 6& 7& 8& 8& 8& 8\end{array}\\ \\ \text{key:}9|1=9.1\end{array}$

Short answer

The histogram is,

Step-by-step solution

Step 1. Given Information.

The provided stem-and-leaf plot is

$\begin{array}{l}\begin{array}{ccccccccccc}9& 1& 3& 5& 7& 8& 8& 9& & & \\ 10& 2& 2& 2& 2& 3& 7& 7& 8& 9& \\ 11& 3& 5& 7& & & & & & & \\ 12& 1& 2& 5& 6& 6& 7& 8& 8& 8& 8\end{array}\\ \\ \text{key:}9|1=9.1\end{array}$

Step 2. Data Values.

Write the data values by converting the stem-and-leaf plot.

$\begin{array}{l}\text{9.1,9.3,9.5,9.7,9.8,9.8,9.9,10.2,10.2,10.2,10.2,10.3,10.7,10.7,10.8,10.9,}\\ \text{11.3,11.5,11.7,12.1,12.2,12.5,12.6,12.6,12.7,12.8,12.8,12.8,12.8}\end{array}$

Step 3. Frequency Table.

Make intervals of equal size for the provided data. For each interval, count the number of tally marks and write the frequency.

Intervals	Frequency
$9.1-10.1$	7
$10.1-11.1$	9
$11.1-12.1$	3
$12.1-13.1$	10

Step 4. Histogram.

Draw the horizontal and vertical axes. Label the intervals on the horizontal axis and the frequencies on the vertical axis.

Construct a bar to show the frequency of each interval.

Step 5. Conclusion.

The histogram is,