Record, Represent & Compare Data
Make a Tally Chart
Read the data and create tallies.
| Item | Tally | Total |
|---|---|---|
Red cars | ||
Blue cars | ||
White cars | ||
Black cars |
Read the Tally Chart
Use the tally chart to answer.
Which colour car was seen the most?
How many more blue cars than white cars?
How many cars counted altogether?
Pets in Our Class
Use the picture graph to answer.
| Dogs | |
| Cats | |
| Fish | |
| Birds |
Which pet is the most popular?
How many students have cats or dogs?
How many more dogs than birds?
How many pets were counted in total?
Match Data to Best Display
Match each type of data to the best display.
Favourite Colours Tally
Count the tallies.
| Item | Tally | Total |
|---|---|---|
Red | ||
Blue | ||
Green | ||
Purple |
Compare Data Sets
Answer about comparing data.
Class A: 8 like apples, 5 like bananas. Class B: 6 like apples, 9 like bananas. Who likes bananas more?
If Class A has 13 votes and Class B has 15, which class surveyed more people?
Compare Two Sets of Data
Compare the results.
Class A: Apples 8, Bananas 5, Oranges 7 Class B: Apples 6, Bananas 9, Oranges 5 Which fruit was most popular in each class?
Which class had more banana lovers? By how many?
If the classes combined, which fruit would be the overall favourite?
Create a Display
Use this data to create a picture graph or bar graph.
Monday = 3 books, Tuesday = 5, Wednesday = 2, Thursday = 6, Friday = 4. Draw your graph here. Include a title, labels and a key.
Write Questions About Data
Write 3 questions that someone could answer using your graph.
Question 1: ___
Question 2: ___
Question 3: ___
Home Activity: Data Display
Collect and display data at home!
- 1Count the types of food in your fridge (fruit, vegetables, dairy, etc.). Make a bar graph.
- 2Track the weather for a week using a tally chart. Display your results.
- 3Compare data with a friend or family member. Did you get similar results?
- 4Create a picture graph using stickers or drawings to show your data.
Daily Weather Tally
Count tallies for one week's weather.
| Item | Tally | Total |
|---|---|---|
Sunny | ||
Cloudy | ||
Rainy | ||
Windy |
Classroom Library Tally
Count tallies for each book genre.
| Item | Tally | Total |
|---|---|---|
Adventure | ||
Funny | ||
Fact books | ||
Animals |
Lunch Items Tally
Count tallies for what students brought for lunch.
| Item | Tally | Total |
|---|---|---|
Sandwich | ||
Rice | ||
Salad | ||
Leftovers |
Books Read This Month
Each symbol = 2 books. Answer the questions.
| Ana | |
| Ben | |
| Cam | |
| Dee | |
| Eli |
Who read the most books?
How many books did Cam read (each symbol = 2)?
What is the total books read by all students?
Recycled Items This Week
Each symbol = 5 items. Answer the questions.
| Paper | |
| Plastic | |
| Cans | |
| Glass |
Which material was recycled most?
How many plastic items were recycled (each = 5)?
What was the total number of items recycled?
Compare Data Sets — Set A
Compare two classes' data: Class A: Soccer 8, Swimming 5, Cricket 7; Class B: Soccer 6, Swimming 10, Cricket 4.
Which class has more soccer fans? By how many? ___
Which class has more swimming fans? By how many? ___
Total students in Class A: ___ Total in Class B: ___
Which sport would win if both classes combined their votes? ___
Compare Data Sets — Set B
Compare two groups: Group 1: Reading 9, Drawing 4, Sport 7; Group 2: Reading 5, Drawing 8, Sport 7.
Which group prefers reading? ___
Which activity got the same number in both groups? ___
Combined total for drawing: ___
Write one statement comparing the two groups: ___
Create a Tally Chart — Set A
Make a tally chart from this data.
Survey of 20 students' favourite seasons: Summer = 8, Autumn = 3, Winter = 4, Spring = 5. Draw the tally chart here:
Create a Tally Chart — Set B
Record and create a tally chart.
Ask 15 people their favourite ice cream flavour. Choices: Chocolate, Vanilla, Strawberry, Other. Record your results in a tally chart:
Create a Picture Graph
Draw a picture graph using this data.
Apples = 4, Bananas = 7, Oranges = 5, Grapes = 3. Each symbol = 1. Draw your picture graph with a title, labels and a key:
Questions From Data — Set A
Write and answer questions about this data: Monday 12, Tuesday 8, Wednesday 15, Thursday 10, Friday 9.
Total for the week: ___
The day with the most: ___
Difference between highest and lowest: ___
Average (total ÷ 5): ___
Questions From Data — Set B
Write 3 interesting questions that could be answered from a bar graph of favourite colours.
Question 1: ___
Question 2: ___
Question 3: ___
Answer one of your questions: ___
Represent Data Two Ways
Show the same data two different ways.
Data: Dogs = 6, Cats = 4, Fish = 2, Birds = 3. Representation 1: Tally chart (draw it)
Representation 2: Bar graph or picture graph (draw it)
Sort: Best Graph Type for Each Data
Sort each type of data to the best display.
Data Differences
Find the difference between each pair of values.
Data Story
Use data to tell a story.
Write a short story about what the data shows: Cars: 14, Buses: 3, Bikes: 8, Walking: 5 ___
What question might have been asked to collect this data? ___
Data Journal Reflection
Write about working with data.
What is the most important thing when collecting data? ___
What makes a graph easy to read? ___
Describe how you would collect data to find out the most popular after-school activity: ___
Analyse a Graph Description
Analyse this graph: a bar graph shows books read per month: Jan=5, Feb=8, Mar=3, Apr=9, May=7, Jun=6.
Which month had the most books read? ___
Which month had the fewest? ___
Total books for the 6 months: ___
Average books per month (total ÷ 6): ___
Data Vocabulary Quiz
Circle the correct answer.
The most common value in a data set is the...
The middle value when data is ordered is the...
Adding all values and dividing by the count gives the...
A data set with values: 3, 5, 7, 3, 9. The mode is...
Create a Two-Way Table
Organise data into a two-way table.
Survey data: 12 girls like sport, 8 boys like sport, 6 girls like art, 10 boys like art. Complete the table: Sport Art Total Girls ___ ___ ___ Boys ___ ___ ___ Total ___ ___ ___
Misleading Graphs
Think about what makes a graph misleading.
Why is it important to start a bar graph's y-axis at 0? ___
What happens if the y-axis scale is uneven? ___
Name one thing that could make a graph misleading: ___
Sort: Data About People or Things?
Sort each type of data.
Present Your Data Findings
Present your investigation results as a short report.
Our class investigated: ___
We found that: ___
This was surprising because: ___
Next time we would: ___
Data Totals
Find the total of each data set.
Reading Bar Graph Values
Fill in the missing data value.
Reading a Picture Graph — Set B
This pictograph uses ★ = 2 students. Red=★★★, Blue=★★★★★, Green=★★. Answer:
How many chose Red?
How many chose Blue?
Total students:
What Does the Graph Show?
A graph shows: Monday=20, Tuesday=15, Wednesday=25, Thursday=10, Friday=30. Answer:
Highest value:
Lowest value:
Total for all days:
Which Graph to Use? — Set B
Circle the best graph type.
To show how data changes over time:
To compare quantities of different categories:
To show data as parts of a whole:
Which Conclusion is Correct?
Use this data: Cats=10, Dogs=14, Birds=3, Fish=5. Circle the correct answer.
Which pet is most popular?
How many students were surveyed in total?
Which conclusion is supported by the data?
Sort Survey Questions to Data Categories
Sort each survey question into the correct data category.
Sort: Primary or Secondary Data?
Sort each data collection method.
Sort: Valid or Invalid Conclusion?
Sort each conclusion about pet data (Dogs=10, Cats=6, Fish=2, Birds=3).
Record: Types of Transport to School
Survey 12 students. Record how they get to school.
| Item | Tally | Total |
|---|---|---|
Walk | ||
Car | ||
Bus | ||
Bike |
Class Test Scores
This graph shows scores on a spelling test.
| 10/10 | |
| 8-9/10 | |
| 6-7/10 | |
| Under 6 |
How many scored 10/10?
How many scored at least 8/10?
How many more students scored 8-9/10 than scored under 6?
Describe the Data
Use this pet data: Dogs=12, Cats=8, Fish=4, Birds=6, Rabbits=2. Answer each question.
Which was the most popular choice? ___
Which was the least popular choice? ___
How many more chose dogs than fish? ___
Read and Compare Data
Library books borrowed per day: Mon=8, Tue=12, Wed=15, Thu=6, Fri=9.
Which day had the most books borrowed? ___
How many books were borrowed on Monday and Tuesday combined? ___
Write one conclusion from the data:
Interpret a Table
Read this table and answer: Cats=8, Dogs=12, Fish=4, Birds=6, Rabbits=2.
Total animals: ___
Most popular: ___ Least popular: ___
How many more dogs than fish? ___
What fraction of all pets are dogs? ___
Graph Comparison
A pictograph and a bar graph show the same data. Compare them.
Which graph type is easier to read? ___ Why? ___
Which is more accurate for comparing exact numbers? ___
When would you choose a pictograph over a bar graph? ___
Create and Analyse
Create your own data display and analyse it.
My survey question: ___
Results: ___ = ___, ___ = ___, ___ = ___, ___ = ___
Display (draw your graph here):
My conclusion: ___
Home Activity: News Data
Find data in a newspaper or news website!
- 1Find a graph or table in a newspaper or news website. Cut it out or take a photo.
- 2Write 3 questions and answers about the data.
- 3What is the headline that goes with the data?
- 4Do you agree with the conclusions? Why or why not?
Interpret a Bar Graph
Use the bar graph data to answer each question. Scores: Monday=8, Tuesday=5, Wednesday=9, Thursday=6, Friday=7.
Which day had the highest score?
What was the difference between the highest and lowest score?
On how many days was the score above 6?
Track the Data
Use tallies to record data from a survey. 20 students chose their favourite season.
| Item | Tally | Total |
|---|---|---|
Summer | ||
Autumn | ||
Winter | ||
Spring |
Sports Day Results
This graph shows how many students participated in each event.
| Running | |
| Jumping | |
| Throwing | |
| Swimming |
Which event had the most participants?
How many participated in jumping and throwing?
How many students participated in total?
Create Questions from Data
Use this data to write 4 questions and answers. Books read: Ava=7, Ben=4, Cara=9, Dan=6.
Q1: ___ A1: ___
Q2: ___ A2: ___
Q3: ___ A3: ___
Q4: ___ A4: ___
Sort: Can This Data Be Graphed?
Sort each data set into Easy to graph or Hard to graph.
Data Analysis Challenge
Analyse this data set: Number of siblings — 0:5 students, 1:8 students, 2:6 students, 3:3 students.
How many students were surveyed? ___
What was the most common number of siblings? ___
Write one conclusion from the data:
Home Activity: Week Weather Watcher
Record and display the weather for one week!
- 1Record the weather each day (sunny, cloudy, rainy, etc.) using tallies.
- 2At the end of the week, make a bar graph or pictograph of your data.
- 3Write 3 conclusions from your data.
- 4Compare with a family member — did you agree on the weather description each day?
Read This Data Set
Use this data: Apples sold Mon=12, Tue=8, Wed=15, Thu=10, Fri=18. Answer each question.
On which day were the most apples sold?
What was the total sold on Monday and Tuesday?
On which day were the fewest sold?
Find the Total from Two Data Sets
Add the two data values to find the total.
Match Data Type to Best Display
Match each data type to the best way to display it.
Interpret a Table
Use this table: Mon: 15, Tue: 8, Wed: 20, Thu: 12, Fri: 18.
Which day had the highest value? ___ Lowest? ___
What is the difference between highest and lowest? ___
Total for all 5 days: ___ Average (rough estimate): ___
Write one conclusion from the data:
Sort: Primary or Secondary Data?
Sort each example into data you collect yourself (primary) or data someone else collected (secondary).
Create a Data Story
Use data to tell a story.
I collected data about: ___
The most surprising thing I found was: ___
If I extended the investigation, I would also find out: ___
Library Books Borrowed by Genre
This graph shows library books borrowed this month.
| Adventure | |
| Science | |
| Funny | |
| Fantasy |
Which genre was borrowed most?
How many more adventure books than science books were borrowed?
What was the total books borrowed?
Home Activity: Favourite Things Investigation
Investigate your family's favourites!
- 1Ask your family: what is your favourite meal, film, game and season?
- 2Record all responses in a table.
- 3Which category had the most agreement? Which had most variation?
- 4Display the results in a graph and write 2 conclusions.
Mode and Range
Use this data: 3, 7, 5, 7, 9, 4, 7, 2.
What is the mode (most common value)?
What is the range (largest minus smallest)?
How many values are in this data set?
Range Bonds
Find the missing value to give each range.
Statistical Terms
Match each statistical term to its definition.
Find Mode and Range
Use scores: 8, 5, 9, 5, 7, 5, 10, 6.
Mode: ___ Range: ___
If one more score of 9 is added, does the mode change? Why?
Shoe Sizes in Year 3
Record these shoe sizes from the class.
| Item | Tally | Total |
|---|---|---|
Size 3 | ||
Size 4 | ||
Size 5 | ||
Size 6 |
Goals Scored Each Week
This graph shows goals scored over 5 weeks.
| Week 1 | |
| Week 2 | |
| Week 3 | |
| Week 4 | |
| Week 5 |
What is the mode number of goals?
What is the range?
How many goals were scored in total?
Sort: Useful Data or Not Useful?
For a survey about favourite fruits, sort each piece of information.
Outliers in Data
An outlier is a value far from the others.
Data: 5, 6, 5, 7, 5, 6, 25. Which is the outlier? ___
How does this outlier affect the range?
Give a real-life example where an outlier might occur:
Home Activity: Data Detective Journal
Collect and analyse data every day for a week!
- 1Each day, count something (birds seen, pages read, steps taken).
- 2At week end, find the mode and range.
- 3Draw a graph of daily counts.
- 4Write 2 conclusions from your data.
Interpret Two-Way Tables
Use this table. Year 3: Dogs=8, Cats=6. Year 4: Dogs=5, Cats=10.
Which year level has more cat lovers?
Across both years, how many chose dogs?
Which year chose more animals in total?
Two-Group Data Totals
Find missing totals from two groups.
Match Conclusion to Data
Match each conclusion to the data that supports it.
Design a Two-Way Table
Create a two-way table to record class data.
Categories: Boys and Girls prefer: ___ and ___
Fill in your table: | Boys | Girls | Total ___ | ___ | ___ | ___ ___ | ___ | ___ | ___ Total| ___ | ___ | ___
One conclusion from your table:
Sort Conclusions: Supported or Not?
Data: Class A prefers summer (8/15), Class B prefers winter (9/14). Sort each conclusion.
Favourite Sports by Year Level
This graph shows sport preferences in Year 3 and Year 4 combined.
| Soccer | |
| Swimming | |
| Cricket | |
| Gymnastics |
Which sport was most popular?
How many more chose soccer than gymnastics?
If equal numbers of Year 3 and Year 4 students were surveyed, how many from each year?
Write a Complete Data Report
Use the sports data above to write a complete statistical report.
Investigation question: ___
Total students surveyed: ___ Most popular sport: ___
Write 3 conclusions from the data:
One further question this raises:
Home Activity: Two-Way Table Challenge
Create a two-way table with your family!
- 1Survey your family: favourite season AND favourite meal.
- 2Create a two-way table showing results.
- 3Write 3 conclusions from your table.
- 4What patterns did you notice between food preference and season preference?
Reading a Table
Use this data: Maths=18, English=15, Science=12, Art=10. Answer each question.
Which subject has the most votes?
How many more votes does Maths have than Art?
What is the total number of votes?
Tally: Types of Animals at the Zoo
Record these zoo animal counts in a tally chart.
| Item | Tally | Total |
|---|---|---|
Lions | ||
Elephants | ||
Birds | ||
Snakes |
Ice Cream Flavours Sold
This graph shows ice cream flavours sold today.
| Chocolate | |
| Vanilla | |
| Strawberry | |
| Mango |
Which flavour was most popular?
How many chocolate and vanilla were sold combined?
What was the total number of ice creams sold?
Match Data Vocabulary
Match each word to its meaning.
Data Set Totals
Find the missing value in each data pair.
Sort: Category or Numerical Data?
Sort each type of data.
Compare Two Graphs
Two classes voted on favourite lunch foods. Class A: Sandwich=10, Wrap=6, Salad=4. Class B: Sandwich=7, Wrap=9, Salad=5.
Which class preferred sandwiches more? ___
Which food was most popular across both classes? ___
Combined total of votes for wraps: ___
Write one conclusion comparing the two classes:
Data Patterns
Complete the missing values in each data sequence.
Summarise a Data Set
Summarise this data in sentences. Trees: Gum=12, Wattle=8, Banksia=5, Grevillea=3.
Total trees counted: ___
Most common tree: ___ Least common: ___
Write 2 sentences summarising what the data shows:
Home Activity: Graph from Life
Create a data display from real life at home!
- 1Count how many items of each colour are in your wardrobe. Make a tally chart.
- 2Survey your family about their favourite meals and display in a bar graph.
- 3Track how many steps you walk each day for 5 days. Make a line graph.
- 4Find a graph in a book or newspaper. Write 3 questions you could answer from it.