Stem-and-Leaf Plots

A stem-and-leaf plot is a display of data that uses the digits of the data values. To make a stem-and-leaf plot, separate each number into a stem and a leaf. A stem and leaf for the number 2.39 is shown below.

In a stem-and-leaf plot representation of $2.39, notated as 2.3 | 9, all digits to the left of the last digit are the stem. In this case 2.3 is the stem. The last digit is the leaf.

You can use a stem-and-leaf plot to organize data. The data below describe the price for the same notebook at several stores.

Notebook Prices: $2.39 $2.47 $2.43 $2.21 $2.33 $2.28 $2.26

2.2 1 6 8
2.3 3 9  
2.4 3 7  
Key: 2.4 | 3 means 2.43

Use the first two digits for the “stems.”

Use the corresponding last digits for the “leaves.” Arrange the numbers in order.

You can use a back-to-back stem-and-leaf plot to display two related data sets. The stems are between two vertical bars, and the leaves are on each side. Leaves are in increasing order from the stems. In the back-to-back stem-and-leaf plot below, 3|4|1 represents a commute time of 43 min in Town A and a commute time of 41 min in Town B.

A back-to-back stem-and-leaf plot is shown for commute times in 2 towns.
Image Long Description

Exercises

Make a stem-and-leaf plot for each set of data.

  1. 18 35 28 15 36 10 25 22 15
  2. 18.6 18.4 17.6 15.7 15.3 17.5
  3. 785 776 788 761 768 768 785
  4. 0.8 0.2 1.4 3.5 4.3 4.5 2.6 2.2
  5. Make a back-to-back stem-and-leaf plot of the test scores of the two classes below.

    Class A: 98 78 85 72 94 81 68 83

    Class B: 87 91 79 75 90 81 82 100


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Table of Contents

Prentice Hall Algebra 1 Chapter 1 Foundations for Algebra Chapter 2 Solving Equations Chapter 3 Solving Inequalities Chapter 4 An Introduction to Functions Chapter 5 Linear Functions Chapter 6 Systems of Equations and Inequalities Chapter 7 Exponents and Exponential Functions Chapter 8 Polynomials and Factoring Chapter 9 Quadratic Functions and Equations Chapter 10 Radical Expressions and Equations Chapter 11 Rational Expressions and Functions Chapter 12 Data Analysis and Probability Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments