12.2 Stem-and-Leaf Plots, Histograms, and Circle Graphs. Objectives: Make a stem-and-leaf plot, a histogram, or a circle graph for a data set. Find and use relative frequencies to solve probability problems.
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12.2 Stem-and-Leaf Plots, Histograms, and Circle Graphs
Objectives: Make a stem-and-leaf plot, a histogram, or a
circle graph for a data set.
Find and use relative frequencies to solve
Standards: 2.6.5A Organize and display data using pictures, tallies, tables, charts, bar
and circle graphs. 2.6.8E Analyze and display data in a stem-and-leaf plot.
I. A stem-and-leafplot 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-leafplot
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?
*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?
*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.
*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?
*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.