7-7 Choosing an Appropriate Display Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

7-7 Choosing an Appropriate Display

Course 1

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Learn to select and use appropriate representations for displaying data.

Course 1


Course 1


Use a bar graph to display and compare data.

There are several ways to display data. Some types of displays are more appropriate than others, depending on how the data is to be analyzed.

x x x x x x

Use a line plot to show the frequency of values.

1 7 9 2 5 3 6 1

Use a stem-and-leaf plot to show how often data values occur and how they are distributed.

Course 1


Use a line graph to show how data change over a time period.

Use a Venn Diagram to show relationships between two or more data sets.

Use a circle graph to show how a set of data is divided into parts.

Additional Example 1A: Choosing an Appropriate Display

The students want to create a display to show each species of butterfly as a percentage of all species in the butterfly family. Which type of graph would they use? Explain.

Course 1


Butterfly Family Number of Species

Gossamer-wing 7

Skippers 10

Swallowtails 5

Whites and sulphurs 4

Circle graph; each listed species is a part of the whole population.

Additional Example 1B: Choosing an Appropriate Display

The students want to create a display to show the relationship between the species of butterflies in the park. Choose the type of graph that would best represent this data.

Course 1


Butterfly Family Number of Species

Gossamer-wing 7

Skippers 10

Swallowtails 5

Whites and sulphurs 4

Venn diagram; it shows butterflies cannot be two species.

Check It Out: Example 1A

The students want to create a display to show the total number of roses in the garden and see which ones occurred more frequently.

Course 1


Rose Family Number of Species in the Garden

English 23

Hybrid Teas 13

Standard Tree 14

Miniature 2

Line plot; it would display the total number of roses and allow the students to see the frequency.

Check It Out: Example 1B

The students want to create a display to show the number of English Roses in the garden compared to the total percentage of roses.

Course 1


Rose Family Number of Species in the Garden

English 23

Hybrid Teas 13

Standard Tree 14

Miniature 2

Circle Graph; it would display each species of roses in the garden as a percentage of the whole population.

Additional Example 2: Identifying the Most Appropriate Display

The table shows the number of visitors to the butterfly park during a four month period.

Course 1


Months Visitors

May 432

June 657

July 856

August 723

Explain why each kind of display would or would not appropriately represent the data.

Additional Example 2A: Identifying the Most Appropriate Display

Circle Graph

Course 1


Months Visitors

May 432

June 657

July 856

August 723

The circle graph does not accurately display the number of visitors per month, so it is not appropriate in representing the data.

May

June

July

August

A circle graph shows how a set of data is divided into parts.

Additional Example 2B: Identifying the Most Appropriate Display

Bar Graph

Course 1


Months Visitors

May 432

June 657

July 856

August 723

The bar graph appropriately displays and compares the data and the number of visitors during each month.

May

June

July

August

0

100

200

300

400

500

600

700

800

900

May June July August

A bar graph displays and compares data.

Additional Example 2C: Identifying the Most Appropriate Display

Line Plot

Course 1


Months Visitors

May 432

June 657

July 856

August 723

There are only four data values to display, so it does not appropriately display the frequency in which visitors visit the park.

A line plot shows the frequency of values.

100 200 300 400 500 600 700 800 900 1000

X X X X May June July Aug

Additional Example 2D: Identifying the Most Appropriate Display

Line Graph

Course 1


Months Visitors

May 432

June 657

July 856

August 723

The line graph appropriately displays and compares the data and the number of visitors during each month.

May

June

July

August

0

100

200

300

400

500

600

700

800

900

May June July August

A line graph shows how data changes over time.

Check It Out: Example 2

The table shows the weight of 4 animals at the Animal Sanctuary.

Course 1


Animal Weight (lbs)

Koala 17

Chimpanzee 80

Sumatran Tiger 210

Male Gorilla 420

Explain why each kind of display would or would not appropriately represent the data.

Check It Out: Example 2A

Line Graph

Course 1


The line graph does not appropriately display and compare the different animals weight.

Koala

Chimpanzee

Sumatran Tiger

Gorilla

050

100150200250300350400450

A line graph shows how data changes over time.

Animal Weight (lbs)

Koala 17

Chimpanzee 80

Sumatran Tiger 210

Large Gorilla 420

Check It Out: Example 2B

Course 1


There are only 4 data values, and how often they occur and how they are distributed are not important.

Stem-and-Leaf Plot

Animal Weight (lbs)

Koala 17

Chimpanzee 80

Sumatran Tiger 210

Large Gorilla 420Stems Leaves

1 7

8 021 042 0

A stem-and-leaf plot shows how often data values occur and how they are distributed.

Check It Out: Example 2C

Circle Graph

Course 1


A circle graph appropriately shows the proportionate amount of weight compared to the total weight of all the animals.

Koala

Chimp

Sumatran TigerGorilla

Animal Weight (lbs)

Koala 17

Chimpanzee 80

Sumatran Tiger 210

Large Gorilla 420

A circle graph shows how a set of data is divided into parts.

Check It Out: Example 2D

D. Bar Graph

Course 1


Koala

Chimp

Sumatran Tiger

Gorilla

050

100150200250300350400450

Koala Chimp SumatranTiger

Gorilla

Animal Weight (lbs)

Koala 17

Chimpanzee 80

Sumatran Tiger 210

Large Gorilla 420

The bar graph appropriately displays and compares the weight of each animal.

A bar graph displays and compares data.