Line Plots, Bar
Graphs, & Histograms
Line Plots, Bar Graphs, & Histograms
Objective:
7.4.01 Collect, organize, analyze, and display data
(including box plots and histograms) to solve
problems.
Essential Question:
Day 1: How can I use line plots, bar graphs, and
histograms to display and analyze data?
Day 2: What are some similarities and differences
between a bar graph and histogram?
Line Plots, Bar Graphs, & Histograms
Vocabulary:
Line Plot: a graph that shows data on a number line with x or other
marks to show frequency.
Bar Graph: a graphic form using bars to make comparisons of
statistics.
Histogram: a special kind of bar graph in which the bars are used to
represent the frequency of numerical data that have been
organized in intervals.
Frequency: the number of pieces of data fall within a given interval
or category.
Frequency Table: a table for organizing a set of data that shows the
number of pieces of data that fall within given intervals or
categories.
Line Plots, Bar Graphs, & Histograms
Example 1: Frequency Tables
Create a frequency table for the following data of
favorite student colors:
Green – 5, Blue – 8, Red – 4, Orange – 2, Yellow – 3
Favorite Color
# of Students
Green
5
Blue
8
Red
4
Orange
2
Yellow
3
Line Plots, Bar Graphs, & Histograms
Example 2: Frequency Tables
Create a frequency table for the following Super Bowl
data below:
20
34
23
34
Step 1: Choose an appropriate interval and
scale for the data. (include least value of 20
and the greatest value of 55)
31
35
27
49
Step 2: Draw the frequency table.
30
52
37
20
55
20
42
39
46
38
38
27
Winning Scores
Source: superbowl.com
Scores
20-28
29-37
38-46
47-55
Tally
IIII I
IIII I
IIII
III
Frequency
6
6
5
3
Line Plots, Bar Graphs, & Histograms
Example 3: Line Plots
The table below shows the number of minutes each
student in a math class spent studying the night before
the last math exam. Make a line plot of the data:
Step 1: Choose an appropriate interval for
the data. (include least value of 32 and the
greatest value of 70)
Step 2: Draw the number line.
Step 3: Plot each data point.
Minutes Studying
36
70
60
38
42
48
58
45
60
55
42
60
35
32
55
50
Line Plots, Bar Graphs, & Histograms
Example 4: Bar Graphs
The table below shows the average number of vacation
days per year for people in various countries. Make a bar
graph to display the data:
Country
Vacation Days per Year
Step 1: Choose an appropriate
interval and scale for the data.
(include least value of 25 and
the greatest value of 42)
Step 2: Draw a bar to represent
each category. In this case, a
bar represents the number of
vacation days per year for each
country.
Italy
42
France
37
Germany
35
Brazil
34
U. Kingdom
28
Canada
26
Korea
25
Japan
25
United States
13
Source: The World Almanac
Line Plots, Bar Graphs, & Histograms
Example 4: Bar Graphs
Step 1: Choose an appropriate interval and scale for the data. (include
least value of 25 and the greatest value of 42)
Country
Vacation Days per Year
Italy
42
France
37
Germany
35
Brazil
34
U. Kingdom
28
Canada
26
Korea
25
Japan
25
United States
13
Source: The World Almanac
Line Plots, Bar Graphs, & Histograms
Example 4: Bar Graphs
Step 2: Draw a bar to represent each category. In this case, a bar
represents the number of vacation days per year for each country.
Country
Vacation Days per Year
Italy
42
France
37
Germany
35
Brazil
34
U. Kingdom
28
Canada
26
Korea
25
Japan
25
United States
13
Source: The World Almanac
Line Plots, Bar Graphs, & Histograms
Example 5: Bar Graphs
The table below shows the average number of miles run
each day during training by members of the cross country
track team. Make a bar graph to display the data:
Step 1: Choose an appropriate
interval and scale for the data.
(include least value of 5 and the
greatest value of 14)
Step 2: Draw a bar to represent
each category. In this case, a
bar represents the number of
miles run per day for each
athlete.
ATHLETE
MILES RUN PER DAY
BOB
9
TAMIKA
JONAS
12
14
8
5
HANNA
10
DAVID
ANNE
Line Plots, Bar Graphs, & Histograms
Example 5: Bar Graphs
Step 1: Choose an appropriate
interval and scale for the data.
(include least value of 5 and the
greatest value of 14)
Step 2: Draw a bar to represent
each category. In this case, a bar
represents the number of miles
run per day for each athlete.
ATHLETE
BOB
TAMIKA
DAVID
ANNE
JONAS
HANNA
MILES RUN PER DAY
9
12
14
8
5
10
Line Plots, Bar Graphs, & Histograms
Example 6: Histograms
The number of wins for the 29 teams of the NBA for the
2000-2001 season have been organized into a frequency
table. Make a histogram of the data:
Step 1: Draw and label the vertical
and horizontal axes and then add a
title.
Step 2: Draw a bar to represent
the frequency of each interval.
# OF WINS
11-20
21-30
31-40
41-50
51-60
FREQUENCY
3
4
4
10
8
Line Plots, Bar Graphs, & Histograms
Example 6: Histograms
Step 1: Draw and label the vertical and horizontal axes and then add a
title.
Step 2: Draw a bar to represent
the frequency of each interval.
# OF WINS
11-20
21-30
31-40
41-50
51-60
FREQUENCY
3
4
4
10
8
Line Plots, Bar Graphs, & Histograms
Example 7: Histograms
The speeds of cars on a stretch of interstate are clocked
by a police officer and have been organized into a
frequency table. Make a histogram of the data:
SPEED IN MPH
FREQUENCY
50-59
60-69
70-79
80-89
2
14
18
3
Step 1: Draw and label the
vertical and horizontal axes and
then add a title.
Step 2: Draw a bar to represent
the frequency of each interval.
Line Plots, Bar Graphs, & Histograms
Example 7: Histograms
Step 1: Draw and label the vertical and horizontal axes and then add a
title.
Step 2: Draw a bar to represent
the frequency of each interval.
SPEED IN MPH
FREQUENCY
50-59
60-69
70-79
80-89
2
14
18
3
Line Plots, Bar Graphs, & Histograms
Example 8: Analyzing Data
Refer to and study the two graphs below:
QUESTION #1:
Which graph would
you use to tell how
many cars under
$30,000 were sold?
GRAPH A
QUESTION #2:
Which graph would
you use to compare
the prices of a midsized car and SUV?
GRAPH B
Line Plots, Bar Graphs, & Histograms
Example 9: Analyzing Data
Refer to and study the two graphs below:
QUESTION #1:
Which graph would you use to tell how many houses sold for
$150,000 or greater in a recent year?
GRAPH B
Line Plots, Bar Graphs, & Histograms
Example 9: Analyzing Data
Refer to and study the two graphs below:
QUESTION #2:
Which graph would you use to compare the price of a ranch
style home to the price of a colonial style home?
GRAPH A
Line Plots, Bar Graphs, & Histograms
Describe the Graph Below:
Refer to and study the graph below:
What are some conclusions
that can be made from the
graph?
Line Plots, Bar Graphs, & Histograms
Describe the Graph Below:
Refer to and study the two graphs below:
What are some similarities between
the two graphs?
What are some differences between
the two graphs?
Are they the same graph?
Line Plots, Bar Graphs, & Histograms
Data Collection:
On a sheet of Notebook paper record the following:
1) What is your favorite sport?
2) What is your favorite day of the week?
3) What month were you born?
4) What is your favorite type of music?
5) What is your favorite college or university?
6) What is your favorite type of food?
Now on your paper to record the data for the entire class and
then create a bar graph or histogram for each set of data.
Line Plots, Bar Graphs, & Histograms
Core 01:
1) Favorite Sports
Basketball –13
Soccer – 4
Football – 2
Volleyball – 1
Motocross – 1
Base/Softball – 4
4) Favorite Music
Hip Hop – 11
R&B–1
Pop – 0 Techno – 2
Gospel – 2
Country – 4
Rock – 3
All – 2
2) Favorite Day
Friday – 17
Saturday – 5
Sunday – 1
Wednesday – 2
3) Birth Month
Jan – 2
Feb – 2
Mar – 1
Apr – 3
May – 4
June – 1
July – 1
Aug – 1
Sept – 5
Oct – 2
Nov – 3
Dec – 0
6) Favorite Food
American – 4
Chinese – 8
Mexican – 3
Japanese – 0
Italian – 5
All – 5
Line Plots, Bar Graphs, & Histograms
Core 02:
1) Favorite Sports
2) Favorite Day
Basketball – 8
Soccer – 3
Football – 4
Volleyball – 1
Fishing – 2
Hunting – 2
Friday – 17
Saturday – 2
Sunday – 1
4) Favorite Music
Hip Hop – 10
R&B–3
Pop – 0
Gospel – 1
Country – 3
Rock – 1
All – 2
5) Favorite School
Duke – 3
UNC – 6
NC St. – 1
ECU – 1
Mt. Olive – 2
FSU – 1
NC A&T – 2
None – 4
3) Birth Month
Jan – 1
Feb – 2
Mar – 0
Apr – 2
May – 1
June – 0
July – 4
Aug – 2
Sept – 0
Oct – 3
Nov – 4
Dec – 1
6) Favorite Food
American – 3
Chinese – 9
Mexican – 7
Japanese – 0
Italian – 0
All – 1
Line Plots, Bar Graphs, & Histograms
Core 03:
1) Favorite Sports
2) Favorite Day
Basketball – 3
Soccer – 11
Football – 6
Volleyball – 4
Base/Softball – 1
Friday – 13
Saturday – 8
Sunday – 3
Wednesday – 1
4) Favorite Music
Hip Hop – 13
R&B–0
Pop – 1
Gospel – 1
Country – 3
Rock – 2
All – 5
3) Birth Month
5) Favorite School
Duke – 3
UNC – 13
NC St. – 4
ECU – 1
Christopher Newport – 1
None – 3
Jan – 0
Feb – 1
Mar – 3
Apr – 0
May – 2
June – 6
July – 3
Aug – 2
Sept – 3
Oct – 2
Nov – 3
Dec – 0
6) Favorite Food
American – 6
Chinese – 3
Mexican – 5
Japanese – 0
Italian – 1
All – 10
Line Plots, Bar Graphs, & Histograms
HOMEWORK