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YEAR 1 · DATA AND GRAPHS · 10 MIN

Comparing frequencies

Compare category counts and say what the data shows.

In this lesson

Before you start
  • Read a one-to-one display.
  • Use more, fewer and equal.
01 / LEARN

Understand the idea.

Frequency is a count

Frequency means how many answers are in a group. Read or count each group's answers, then compare the numbers. The greatest count has the most; the smallest has the fewest.

To find 'how many more', match one answer in one group with one in the other. Count the answers left over. Apple has three votes and pear has one, leaving two extra apple votes.

Each dot represents one vote. Apple has three dots, Banana two dots and Pear one dot. A separate one-dot key appears beneath the data rows.

Equal counts can tie

Equal counts make a tie. In the travel table, three children walked and three rode bikes. Every walker can be matched with a bike rider, with nobody left over.

Describe only the answers you collected. The travel table tells us about these seven children. It does not tell us how all children travel to the park.

How seven children travelled to a park.
TravelChildren
Walk3
Bike3
Bus1
02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

Compare fruits

Which fruit received the most votes, and how many more than pear?

Favourite fruit: one choice from each of six children.
FruitVotes
Apple3
Banana2
Pear1

Worked solution

  1. 1

    Compare all three fruit counts.

    3>2>1

    Apple has 3 votes, banana has 2 and pear has 1, so apple has the most.

  2. 2

    Match pear's one vote with one apple vote.

    3−1=2

    Two apple votes remain unmatched, so apple received 2 more votes than pear.

Answer

Apple; 2 more votes.

EXAMPLE 02

A tied result

Did more children walk or ride bikes to the park?

How seven children travelled to a park.
TravelChildren
Walk3
Bike3
Bus1

Worked solution

  1. 1

    Read the Walk and Bike counts.

    3=3

    Both rows show 3 children.

  2. 2

    Describe the equal counts as a tie.

    3−3=0

    There are no extra children in either group, so neither walking nor riding a bike has more.

Answer

Neither: the counts are tied at 3.

03 / YOUR TURN

Try it yourself.

Check your understanding

A display has 4 blue, 2 red and 0 green votes. Which colour has the fewest votes?

Show answer & reasoning

Green.

Green has no votes. Since 0<2 and 0<4, green's count is the smallest, so green has the fewest votes.

Keep practising

6 worksheet questions

Read the questions online
  1. Which fruit has the fewest votes in the table?
    Favourite fruit: one choice from each of six children.
    FruitVotes
    Apple3
    Banana2
    Pear1
  2. How many more apple votes than banana votes are there?
    Favourite fruit: one choice from each of six children.
    FruitVotes
    Apple3
    Banana2
    Pear1
  3. In the travel table, which two categories tie?
    How seven children travelled to a park.
    TravelChildren
    Walk3
    Bike3
    Bus1
  4. How many travel responses are recorded altogether?
    How seven children travelled to a park.
    TravelChildren
    Walk3
    Bike3
    Bus1
  5. Is this true for the fruit table: Every child chose apple? Explain.
    Favourite fruit: one choice from each of six children.
    FruitVotes
    Apple3
    Banana2
    Pear1
  6. Write one true comparison about the colour display.
    Each dot represents one vote. The Blue row contains four dots, the Red row two dots and the labelled Green row none. A separate one-dot key appears beneath the data rows.
Read the worked solutions
  1. Which fruit has the fewest votes in the table?
    Favourite fruit: one choice from each of six children.
    FruitVotes
    Apple3
    Banana2
    Pear1

    One is the smallest count.

    Pear.
  2. How many more apple votes than banana votes are there?
    Favourite fruit: one choice from each of six children.
    FruitVotes
    Apple3
    Banana2
    Pear1

    3−2=1.

    1 more.
  3. In the travel table, which two categories tie?
    How seven children travelled to a park.
    TravelChildren
    Walk3
    Bike3
    Bus1

    Each has 3 children.

    Walk and bike.
  4. How many travel responses are recorded altogether?
    How seven children travelled to a park.
    TravelChildren
    Walk3
    Bike3
    Bus1

    3+3+1=7.

    7.
  5. Is this true for the fruit table: Every child chose apple? Explain.
    Favourite fruit: one choice from each of six children.
    FruitVotes
    Apple3
    Banana2
    Pear1

    Only 3 of the 6 recorded children chose apple; banana and pear also have votes.

    No.
  6. Write one true comparison about the colour display.
    Each dot represents one vote. The Blue row contains four dots, the Red row two dots and the labelled Green row none. A separate one-dot key appears beneath the data rows.

    Check the counts blue 4, red 2, green 0.

    Answers vary: blue has more votes than red; green has none; blue has 2 more than red.
Checking saved progress…
Curriculum reference & lesson scope

Australian Curriculum v9 / SA Curriculum 2026

Year 1 categorical questions, response collection, lists, one-to-one displays and comparison of frequencies.

Official curriculum source ↗

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