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 .
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 , 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.
| Pet | Children |
|---|---|
| Dog | 5 |
| Cat | 4 |
| Fish | 3 |
See the method in action.
A list becomes counts
The answers are dog, cat, dog, fish, cat, dog. Find the frequency of each pet.
Worked solution
- 1
Count the dog answers.
Dog appears first, third and sixth in the list, so its frequency is three.
- 2
Count each remaining category.
Cat appears twice and fish appears once; each listed answer belongs to just one category.
- 3
Check the response total.
The frequencies account for the six answers in the list.
Dog 3, cat 2, fish 1.
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
Add the two known counts.
Seven of the ten children chose Tag or skipping.
- 2
Find how many votes remain.
The remaining children all chose handball, so handball has three votes.
- 3
Check all three groups together.
The completed counts match the ten children who voted.
Handball has 3 votes.
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: . The table records nine votes altogether.
Keep practising
6 worksheet questions
Read the questions online
- Count the red answers: red, blue, red, green, red, blue.
- Use this list: red, blue, red, green, red, blue. Give the blue and green counts.
- A tally record has five marks in one group and three extra marks. What is its frequency?
- The frequencies are . Find the total.
- Eight children answer a survey, but its table contains counts . What is wrong?
- Of 15 children, 6 choose drawing and 5 choose reading. The rest choose puzzles. Find the puzzle count.
Read the worked solutions
- Count the red answers: red, blue, red, green, red, blue.
Red appears in positions .
3. - Use this list: red, blue, red, green, red, blue. Give the blue and green counts.
Count each answer once.
Blue 2; green 1. - A tally record has five marks in one group and three extra marks. What is its frequency?
.
8. - The frequencies are . Find the total.
.
12. - Eight children answer a survey, but its table contains counts . What is wrong?
, not 8.
Only 7 responses are recorded, so a response is missing or a count is wrong. - Of 15 children, 6 choose drawing and 5 choose reading. The rest choose puzzles. Find the puzzle count.
.
.
4 children.
Curriculum reference & lesson scope
Australian Curriculum v9 / South Australian Curriculum
Categorical/count data; recording; displays; comparisons; guided question-to-conclusion investigation.
Official curriculum source ↗