Minds On

Graphs to know

Graphs are a way to display data.

There are a variety of types of graphs that can be used to display patterns, trends, and relationships in data.

Analyze the data in the following five graphs to explore how each kind of graph displays diverse data sets. Throughout this learning activity, you can record your ideas digitally, orally, or in print.)

Brainstorm

Interpret the pictograph

  • Check the key and count how many people ordered the BBQ chicken pizza.
  • How many more people ordered cheese pizza than pepperoni pizza?

Brainstorm

Interpret the bar graph

  • Which is the least preferred type of movie and most preferred type of movie?
  • Which two types of movies are equally liked? How do you know?

Brainstorm

Interpret the histogram

  • Which age group wins the lottery the most often? The least often?
  • Which two age groups have the same number of lottery winners? How do you know?
  • How is the histogram different than the bar graph from the previous question?

Brainstorm

Interpret the scatter plot

  • At which temperature does the company sell the most ice cream? The least?
  • What do you notice about the sales of the ice cream in relation to the temperature?

Brainstorm

Interpret the circle graph

  • Which mode of transportation is the second most popular for people to take to work?
  • Which two modes of transportation account for how 50% of people travel to work? Is there more than one answer for this question?

Action

Task 1: What do the different graphs show?

For each graph, select the corresponding type of data represented.

Task 2: Which graph would you use?

Which type of graph would you use to display the data in each of the following tables? Why? Record your ideas using a method of your choice.

Frequency Table of Grades

Interval

Tally

Frequency

90 – 100

5

80 – 89

12

70 – 79

8

60 – 69

2

0 – 59

1

Favourite Fruit

Fruit

People

Apple

35

Orange

30

Banana

10

Kiwifruit

25

Blueberry

40

Grapes

5


Press ‘Degree’ to reveal the method of calculating degrees.

To obtain the category in degrees, the number of people is divided by the percentage and multiplied by 360. For example, for Comedy, 4 20 × 360 ° = 72 ° .

Task 3: This or that?

Explore each of the three following tables and record your ideas for the questions in a method of your choice.

Number of Movies Attended in the Past Two Years

Movies Attended in the Past Two Years

Number of people

0-4

51

5-9

87

10-14

131

15-19

86

20-24

68

25-29

37

30-34

19

35-39

8

40+

3

Would you use a bar graph or histogram to display this data? Why?

Think about how bar graphs and histograms are different.

Number of people who visited a museum over a 10-day period last summer in relation to the daily sunshine totals

Day

Hours Sunshine

Visitors

1

6

300

2

5

475

3

8

100

4

3

390

5

8

200

6

10

50

7

7

175

8

5

220

9

3

350

10

2

320

Would you use a bar graph or a scatter plot to display this data? Why?

Think about how bar graphs and scatter plots are different.

Favourite TV Programs

TV Program

People

News

17

Cartoon

34

Drama

15

Science Fiction

26

Comedy

8

Would you use a circle graph or a pictograph to display this data? Why?

Think about how circle graphs and pictographs are different.

Consolidation

Make a Choice

Choose either Task 1 or 2 and record your thoughts in your notebook, the following fillable and printable document or in a method of your choice.

Task 1: Graphing real world situations

Visit some news websites today and find examples of at least two different types of graphs that you learned about in this lesson. Analyze the graphs and describe one piece of information you can learn from them.

Task 2: Reflection in your math notebook

How do you choose what type of graph best suits the data you gather? Why can’t the same type of graph be used for all types of data?

Press the ‘Activity’ button to access Task 1 and 2.

Reflection

As you read the following descriptions, select the one that best describes your current understanding of the learning in this activity. Press the corresponding button once you have made your choice.

I feel…

Now, expand on your ideas by recording your thoughts using a voice recorder, speech-to-text, or writing tool.

When you review your notes on this learning activity later, reflect on whether you would select a different description based on your further review of the material in this learning activity.

Connect with a TVO Mathify tutor

Think of TVO Mathify as your own personalized math coach, here to support your learning at home. Press ‘TVO Mathify’ to connect with an Ontario Certified Teacher math tutor of your choice. You will need a TVO Mathify login to access this resource.

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