Line Plots, Bar Graphs, & Histograms. Objective: 7.4.01 Collect, organize, analyze, and display data (including box plots and histograms) to solve problems

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?

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.



Example 1: Frequency TablesCreate 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


27383846

39422055

20375230

49273531

34233420Winning Scores

Source: superbowl.com

Example 2: Frequency TablesCreate a frequency table for the following Super Bowl data below:

FrequencyTallyScores

IIII I

3III47-555IIII38-46629-376IIII I20-28

Step 1: Choose an appropriate interval and scale for the data. (include least value of 20 and the greatest value of 55)

Step 2: Draw the frequency table.


Example 3: Line PlotsThe 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.

Minutes Studying

36 42 60 3570 48 55 3260 58 42 55

38 45 60 50 Step 3: Plot each data point.


Example 4: Bar GraphsThe table below shows the average number of vacation days per year for people in various countries. Make a bar graph to display the data: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. 13United States

25Japan25Korea26Canada28U. Kingdom34Brazil35Germany37France42Italy

Vacation Days per YearCountry

Source: The World Almanac


Example 4: Bar GraphsStep 1: Choose an appropriate interval and scale for the data. (include least value of 25 and the greatest value of 42)

13United States25Japan25Korea26Canada28U. Kingdom34Brazil35Germany37France42Italy




Example 4: Bar GraphsStep 2: Draw a bar to represent each category. In this case, a bar represents the number of vacation days per year for each country.

13United States25Japan25Korea26Canada28U. Kingdom34Brazil35Germany37France42Italy




Example 5: Bar GraphsThe 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)

ATHLETE MILES RUN PER DAY

BOB 9

TAMIKA 12

DAVID 14

ANNE 8

JONAS 5

HANNA 10

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.


Example 5: Bar GraphsStep 1: Choose an appropriate interval and scale for the data. (include least value of 5 and the greatest value of 14)

ATHLETE MILES RUN PER DAY

BOB 9

TAMIKA 12

DAVID 14

ANNE 8

JONAS 5

HANNA 10

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.


Example 6: HistogramsThe 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.

FREQUENCY# OF WINS

311-20

421-30

431-40

1041-50

851-60


Example 6: HistogramsStep 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.

FREQUENCY# OF WINS

311-20

421-30

431-40

1041-50

851-60


Example 7: HistogramsThe 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:

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.

FREQUENCYSPEED IN MPH

250-59

1460-69

1870-79

380-89


Example 7: HistogramsStep 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.

FREQUENCYSPEED IN MPH

250-59

1460-69

1870-79

380-89


Example 8: Analyzing DataRefer to and study the two graphs below:

QUESTION #1:Which graph would you use to tell how many cars under $30,000 were sold?

QUESTION #2:Which graph would you use to compare the prices of a mid-sized car and SUV?

GRAPH A

GRAPH B



QUESTION #1:Which graph would you use to tell how many houses sold for $150,000 or greater in a recent year?

GRAPH B



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


Describe the Graph Below:Refer to and study the graph below:

What are some conclusions that can be made from the graph?


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?


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?

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.

3) What month were you born?

5) What is your favorite college or university?

4) What is your favorite type of music?

6) What is your favorite type of food?


Core 01:1) Favorite Sports 2) Favorite Day 3) Birth Month

4) Favorite Music 6) Favorite Food

Basketball –13Soccer – 4Football – 2Volleyball – 1Motocross – 1Friday – 17Saturday – 5Sunday – 1

Hip Hop – 11R & B – 1Pop – 0Gospel – 2Country – 4Rock – 3All – 2

American – 4Chinese – 8Mexican – 3Japanese – 0Italian – 5All – 5

Jan – 2Feb – 2Mar – 1Apr – 3May – 4June – 1

July – 1Aug – 1Sept – 5Oct – 2Nov – 3Dec – 0Base/Softball – 4Wednesday – 2

Techno – 2



5) Favorite School4) Favorite Music 6) Favorite Food

Basketball – 8Soccer – 3Football – 4Volleyball – 1Fishing – 2Friday – 17Saturday – 2Sunday – 1

Hip Hop – 10R & B – 3Pop – 0Gospel – 1Country – 3Rock – 1All – 2

American – 3Chinese – 9Mexican – 7Japanese – 0Italian – 0All – 1

Duke – 3UNC – 6NC St. – 1ECU – 1Mt. Olive – 2None – 4


July – 4Aug – 2Sept – 0Oct – 3Nov – 4Dec – 1Hunting – 2

FSU – 1NC A&T – 2



5) Favorite School4) Favorite Music6) Favorite Food

Basketball – 3Soccer – 11Football – 6Volleyball – 4Base/Softball – 1Friday – 13Saturday – 8Sunday – 3Wednesday – 1

Hip Hop – 13R & B – 0Pop – 1Gospel – 1Country – 3Rock – 2All – 5American – 6Chinese – 3Mexican – 5Japanese – 0Italian – 1All – 10

Duke – 3UNC – 13NC St. – 4ECU – 1Christopher Newport – 1None – 3


July – 3Aug – 2Sept – 3Oct – 2Nov – 3Dec – 0

HOMEWORK


Documents

Line Plots, Bar Graphs, & Histograms. Objective: 7.4.01 Collect, organize, analyze, and display data (including box plots and histograms) to solve problems