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Q. 19

Expert-verified
Found in: Page 615

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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

The histogram is,

See the 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,