12.2 Stem-and-Leaf Plots, Histograms, and Circle Graphs

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12.2 Stem-and-Leaf Plots, Histograms, and Circle Graphs

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12.2 Stem-and-Leaf Plots, Histograms, and Circle Graphs

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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

probability problems.

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?

Stem

Leaf

0

1

2

3

4

5

6

7

8

9

*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

- 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.

- 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?

- 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.