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Q. 19

Expert-verifiedFound in: Page 615

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,**

The provided stem-and-leaf plot is

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

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

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

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 |

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.

The histogram is**,**

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