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YEAR 3 · STATISTICS · 12 MIN

Comparing data displays

Compare data using the actual counts, not just a quick impression.

In this lesson

Before you start
  • Reading data displays; subtraction.
01 / LEARN

Understand the idea.

Use numbers as evidence

Support a comparison with the counts you read. To find how many more, subtract the smaller count from the larger. Apple has six votes and banana four, so apple has 6−4=2 more votes.

Equal counts mean a tie: neither category has more responses. A zero means nobody chose that category. Keep its label visible so readers can tell the difference between no votes and a missing category.

Sample data: Fruit choices
FruitChildren
Apple6
Banana4
Orange2

Be careful with conclusions

Say whose answers a display describes. A class vote tells us about that class when it voted. Even its most popular choice may not be everyone's choice, and another class might choose differently.

Look at group sizes before comparing two classes. A bigger class has more children available to vote. A larger vote count by itself does not show that a choice is a stronger favourite in that class.

Sample data: A class game vote
GameClass AClass B
Tag86
Skipping46
02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

How many more?

Use the fruit table. How many more choose apple than orange?

Worked solution

  1. 1

    Read the two counts in the fruit table.

    Apple: 6Orange: 2

    These are the categories named in the question; the banana count is not needed for this difference.

  2. 2

    Subtract to find how many more.

    6−2=4

    After matching two apple votes with the two orange votes, four apple votes remain.

  3. 3

    Check the comparison.

    2+4=6

    Two orange votes and four more equal the six apple votes, so four more children chose apple.

Answer

4 more children.

EXAMPLE 02

A tie

Class B has 6 votes for Tag and 6 for Skipping. Explain the result.

Worked solution

  1. 1

    Compare the two vote counts.

    6=6

    Tag and Skipping each have six votes.

  2. 2

    Describe the result for Class B.

    6−6=0

    The difference is zero, so neither game has more votes. This Class B vote is tied.

Answer

The games are tied in this Class B vote.

03 / YOUR TURN

Try it yourself.

Check your understanding

There are 7 dog votes and 4 cat votes. How many more dog votes are there?

Show answer & reasoning

3 more votes.

Match four of the dog votes with the four cat votes. There are 7−4=3 dog votes left, so there are three more dog votes.

Keep practising

6 worksheet questions

Read the questions online
  1. Which fruit has the most votes in the supplied table?
    Sample data: Fruit choices
    FruitChildren
    Apple6
    Banana4
    Orange2
  2. How many more chose banana than orange?
    Sample data: Fruit choices
    FruitChildren
    Apple6
    Banana4
    Orange2
  3. Cricket has 5 votes, Soccer has 5 and Tennis has 3. Which choices are tied?
  4. A child reads the fruit table and says, “Everyone chose apple.” Explain the error.
    Sample data: Fruit choices
    FruitChildren
    Apple6
    Banana4
    Orange2
  5. Class A has 8 Tag votes from 12 children. Class B has 9 from 24 children. Does 9 being larger prove Tag is a stronger favourite in B?
  6. Write one comparison using numbers from the supplied travel table.
    Sample data: Travel choices
    WayChildren
    Walk6
    Car5
    Bus3
Read the worked solutions
  1. Which fruit has the most votes in the supplied table?
    Sample data: Fruit choices
    FruitChildren
    Apple6
    Banana4
    Orange2

    6 is greater than 4 and 2.

    Apple.
  2. How many more chose banana than orange?
    Sample data: Fruit choices
    FruitChildren
    Apple6
    Banana4
    Orange2

    4−2=2.

    2 more.
  3. Cricket has 5 votes, Soccer has 5 and Tennis has 3. Which choices are tied?

    Both have 5 votes.

    Cricket and Soccer.
  4. A child reads the fruit table and says, “Everyone chose apple.” Explain the error.
    Sample data: Fruit choices
    FruitChildren
    Apple6
    Banana4
    Orange2

    The largest group is not the whole group.

    Four children chose banana and two chose orange, so not everyone chose apple.
  5. Class A has 8 Tag votes from 12 children. Class B has 9 from 24 children. Does 9 being larger prove Tag is a stronger favourite in B?

    Class B has twice as many children.

    No. The class sizes are different and must be considered.
  6. Write one comparison using numbers from the supplied travel table.
    Sample data: Travel choices
    WayChildren
    Walk6
    Car5
    Bus3

    Use two actual counts to support the comparison.

    For example: 6 children walked and 3 used the bus, so 3 more walked. Other accurate comparisons are valid.
Checking saved progress…
Curriculum reference & lesson scope

Australian Curriculum v9 / South Australian Curriculum

Categorical/count data; recording; displays; comparisons; guided question-to-conclusion investigation.

Official curriculum source ↗

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