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12.2 Stem-and-Leaf Plots, 12.2 Stem-and-Leaf Plots, Histograms, and Circle Histograms, and Circle
GraphsGraphs
Objectives: Make a stem-and-leaf plot, a histogram, or a Objectives: Make a stem-and-leaf plot, a histogram, or a circle graph for a data set. circle graph for a data set.
Find and use relative frequencies to solveFind and use relative frequencies to solve probability problems.probability problems.
Standards: 2.6.5A Organize and display data using Standards: 2.6.5A Organize and display data using pictures, tallies, tables, charts, bar pictures, tallies, tables, charts, bar
and circle graphs. 2.6.8E Analyze and display and circle graphs. 2.6.8E Analyze and display data in a stem-and-leaf plot.data in a stem-and-leaf plot.
I. A stem-and-leaf plot of the Internet data is shown below. A stem-and-leaf plot is
a quick way to arrange a set of data and view its shape, or general distribution.
In a stem-and-leaf plot each data value is split into 2 parts: a stem and leaf.
*Ex 1. Colby is planning the annual Smith family reunion. She has collected the ages of the family members who plan to
attend.a). Make a stem-and-leaf plot of the ages.b). Find the median and mode of the ages.
c). How can the stem-and-leaf plots be used to plan the reunion?
Stem Leaf
0123456789
*Ex2. A bakery collected the following data about the # of loaves of bread sold each of the 24 business days:
53, 49, 27, 48, 60, 52, 44, 38, 47, 52, 82,46, 55, 31, 39, 54, 51, 47, 50, 45, 50, 61, 43, and 64.
Make a stem-and-leaf plot of the data. Find the median and mode(s) of the data.
How can the owner use the stem-and-leaf plot to make plans for baking bread?
Stem Leaf
II. Histogram – a bar graph that gives the frequency of each value. In a histogram, the horizontal axis
is like a number line divided into equal widths. Each width represents
a data value or range of data values. The height of each bar indicates the frequency of
that data value or range of data values.
*Ex 2. The given data shows the # of people in 24 vehicles hat passed a designated checkpoint.
1, 4, 1, 2, 2, 1, 3, 1, 3, 2, 2, 6, 4, 2, 1, 1, 2, 4, 3, 1, 2, 4, 2, 3.
Make a frequency table for these data. Make a histogram from the frequency table.
## FrequencyFrequency
11
22
33
44
55
66
III. Relative Frequency Tables – frequency tables that include a column that displays
how frequently a value appears relative to the entire data set. The relative frequency
column is the % frequency, or probability. A relative frequency table and histogram are shown below for the canoe rental data.
*Ex1. Use the relative frequencies given above to estimate the probability that randomly selected
customer will rent a canoe for 5 or more hours.
What % rented a canoe for 5, 6, 7, and 8 hours?
IV.Circle Graphs –
display the distribution of
non-overlapping parts of a whole
*Ex 2. The table below shows the distribution by region of the resident population of the
U.S. in 1996. a). Make a circle graph to represent the data.
b). Find the probability that a randomly chosen resident of the U.S. in 1996 wasn’t a
resident of the South.
RegionRegion PopulationPopulation
(In millions)(In millions)
Relative Relative FrequencyFrequency
NENE 51.651.6
MidwestMidwest 62.162.1
SoutSout 93.193.1
WestWest 58.558.5
Writing ActivitiesWriting Activities
Review of Stem-and-Leaf Plots, Review of Stem-and-Leaf Plots, Histograms, and Circle GraphsHistograms, and Circle Graphs