<meta http-equiv="refresh" content="1; url=/nojavascript/"> Stem-and-Leaf Plots and Histograms | CK-12 Foundation
Dismiss
Skip Navigation
You are reading an older version of this FlexBook® textbook: CK-12 Algebra I Teacher's Edition Go to the latest version.

Learning Objectives

At the end of this lesson, students will be able to:

  • Make and interpret stem-and-leaf plots.
  • Make and interpret histograms.
  • Make histograms using a graphing calculator.

Vocabulary

Terms introduced in this lesson:

visual representation of data
stem-and-leaf plot
stem, leaf
ordered stem-and-lead plot
frequency
histogram
bins
continuous data
round
truncate

Teaching Strategies and Tips

In the previous lesson, students learned that the appropriateness of an average depends on the shape of the distribution of the data.

  • Plotting data is essential and should come naturally as a first step in data analysis.
  • In this lesson, students learn to group and visualize data using stem-and-leaf plots and histograms. See Examples 1 and 2, respectively.

Emphasize the similarity between histograms and stem-and-leaf plots – a stem-and- leaf plot resembles a histogram on its side.

Teachers are encouraged to present several examples of stem-and-leaf plots consisting of different kinds of data sets, such as: clustered data that comes as three-digit numbers, data spread out coming in three-digits, data consisting of numbers with 1 or two decimal places, and data sets with decimals between 0 and 1.

Additional Examples:

Arrange the data into a stem-and-leaf plot.

a. The students in Mr. Peterson’s math class took the AP Statistics exam. Their math scores are:

3, 2, 2, 3, 4, 4, 3, 1, 2, 3, 4, 5, 4, 2, 2, 3, 4, 3, 4, 5, 4, 3

b. The weights, in ounces, of several cookies taken from the same package are:

0.95, 0.85, 0.93, 0.90, 0.97, 0.96, 0.87, 0.91

c. The precipitation, in mm, for the city of Townville in the month of October is:

142.20, 0.02, 0.01, 12.15, 92.72, 103.21, 138.90, 102.92, 12.07, 1.00, 0.00, 0.00, 12.01, 21.02, 22.02, 87.91, 89.60, 132.72, 120.82, 15.20, 12.22, 0.00, 0.00, 0.00, 0.00, 0.02, 0.03, 0.01, 14.16, 18.13

Teachers are encouraged to show side-by-side histograms for the same data set as patterns can be more or less apparent with different number of bins.

  • By increasing or decreasing bin-widths, students see how the shape of the distribution changes for better or worse.
  • Some bin-widths can be random-looking or even misleading.

Error Troubleshooting

Remind students in Review Questions 1 and 4 to construct ordered stem-and-leaf plots, placing the leaves on each branch in ascending order, before correctly determining the median and the mode.

Image Attributions

Files can only be attached to the latest version of None

Reviews

Please wait...
Please wait...
Image Detail
Sizes: Medium | Original
 
CK.MAT.ENG.TE.1.Algebra-I.11.7

Original text