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YEAR 3 · STATISTICS · 12 MIN

Recording collected data

Record every answer once, then check the frequencies.

In this lesson

Before you start
  • Counting data values; addition.
01 / LEARN

Understand the idea.

Record as you collect

Record an answer as soon as you receive it. A list keeps the answers in order; a tally table puts matching answers together. Make one tally mark for each response, in the correct category.

Bundle tally marks in fives: four upright strokes and a fifth crossing them. A full bundle still means five responses. Count the bundles, then the extra strokes; five and three more make 8.

Write the frequencies

Frequency means how many times an answer occurs. Count the marks in each category and write that number beside it. A choice that nobody made has frequency 0, so leave its row and record zero.

Add the frequencies and compare the total with the number of people who answered. A mismatch tells you to recheck. Also check that each person appears once: a matching total alone cannot catch every recording mistake.

Sample data: Favourite-pet choices of 12 children
PetChildren
Dog5
Cat4
Fish3
02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

A list becomes counts

The answers are dog, cat, dog, fish, cat, dog. Find the frequency of each pet.

Worked solution

  1. 1

    Count the dog answers.

    Dog: 3

    Dog appears first, third and sixth in the list, so its frequency is three.

  2. 2

    Count each remaining category.

    Cat: 2Fish: 1

    Cat appears twice and fish appears once; each listed answer belongs to just one category.

  3. 3

    Check the response total.

    3+2+1=6

    The frequencies account for the six answers in the list.

Answer

Dog 3, cat 2, fish 1.

EXAMPLE 02

Complete a table

Ten children vote for a game. Tag has 4 votes and skipping has 3. The rest choose handball. Find the handball count.

Worked solution

  1. 1

    Add the two known counts.

    4+3=7

    Seven of the ten children chose Tag or skipping.

  2. 2

    Find how many votes remain.

    10−7=3

    The remaining children all chose handball, so handball has three votes.

  3. 3

    Check all three groups together.

    4+3+3=10

    The completed counts match the ten children who voted.

Answer

Handball has 3 votes.

03 / YOUR TURN

Try it yourself.

Check your understanding

A table shows 4 red, 3 blue and 2 green votes. How many votes are recorded?

Show answer & reasoning

9 votes.

Add the three separate colour groups: 4+3+2=9. The table records nine votes altogether.

Keep practising

6 worksheet questions

Read the questions online
  1. Count the red answers: red, blue, red, green, red, blue.
  2. Use this list: red, blue, red, green, red, blue. Give the blue and green counts.
  3. A tally record has five marks in one group and three extra marks. What is its frequency?
  4. The frequencies are 5,4 and 3. Find the total.
  5. Eight children answer a survey, but its table contains counts 3,3 and 1. What is wrong?
  6. Of 15 children, 6 choose drawing and 5 choose reading. The rest choose puzzles. Find the puzzle count.
Read the worked solutions
  1. Count the red answers: red, blue, red, green, red, blue.

    Red appears in positions 1,3 and 5.

    3.
  2. Use this list: red, blue, red, green, red, blue. Give the blue and green counts.

    Count each answer once.

    Blue 2; green 1.
  3. A tally record has five marks in one group and three extra marks. What is its frequency?

    5+3=8.

    8.
  4. The frequencies are 5,4 and 3. Find the total.

    5+4+3=12.

    12.
  5. Eight children answer a survey, but its table contains counts 3,3 and 1. What is wrong?

    3+3+1=7, not 8.

    Only 7 responses are recorded, so a response is missing or a count is wrong.
  6. Of 15 children, 6 choose drawing and 5 choose reading. The rest choose puzzles. Find the puzzle count.

    6+5=11.

    15−11=4.

    4 children.
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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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