Statistics

Categorical Data & Bar Graphs

1

Count and Tally — Favourite Fruits

Count each type of fruit and record using tally marks.

ItemTallyTotal
Apples
Bananas
Grapes
Watermelon
2

Read the Tally Chart (Fruits)

Use the tally chart above to answer these questions.

Which fruit is the most popular?

Apples
Bananas
Grapes

Which fruit is the least popular?

Grapes
Watermelon
Apples

How many more grapes than bananas?

2
4
6

How many fruits altogether?

18
20
21
3

Count and Tally — Animals at the Zoo

Count each animal and make a tally chart.

ItemTallyTotal
Birds
Fish
Cats
Dogs
4

Read the Tally Chart (Animals)

Use the tally chart above to answer.

Which animal was seen the most?

Birds
Fish
Dogs

Which animal was seen the least?

Birds
Cats
Dogs

How many birds and fish altogether?

10
12
14

How many more dogs than cats?

2
3
4
5

Favourite Colours — Tally

Count each colour and record with tallies.

ItemTallyTotal
Red
Blue
Green
Yellow
6

Count Each Category

Count how many of each object you see.

?
?
?
?
7

Count More Categories

Count how many of each type.

?
?
?
?
8

Match Tallies to Numbers

Match each tally to its number.

IIII
IIII II
IIII IIII
III
3
4
7
9
9

Reading Tallies

Circle the correct number for each tally.

IIII I

4
5
6

IIII III

7
8
9

IIII IIII II

10
11
12

IIII IIII IIII

13
14
15
10

Favourite Sports — Picture Graph

Read the picture graph and answer the questions.

Swimming
Running
Cricket
Tennis
1

Which sport is the most popular?

2

How many children chose swimming?

3

How many more children chose running than tennis?

4

How many children were surveyed in total?

11

Reading the Sports Graph

Use the picture graph to answer.

Which has the most?

Swimming
Running
Cricket

Which has the fewest?

Swimming
Cricket
Tennis

How many more running than cricket?

1
2
3

How many chose swimming or cricket?

9
11
13
12

Favourite Pets — Picture Graph

Read the picture graph and answer the questions.

Dogs
Cats
Fish
Birds
1

Which pet is the most popular?

2

How many children chose cats?

3

How many more dogs than fish?

4

How many children were surveyed altogether?

13

Reading the Pets Graph

Use the picture graph to answer.

Which pet is least popular?

Dogs
Fish
Birds

How many chose dogs or cats?

10
12
14

How many fewer birds than dogs?

2
3
4

How many children were surveyed?

17
19
21
14

Sort Into Categories

Sort these items into the correct category.

Dog
Fish
Bird
Cat
Butterfly
Horse
Land Animals
Sea Animals
Flying Animals
15

Sort by Colour

Sort these items by their typical colour.

Apple
Banana
Sun
Tree
Heart
Flower
Red
Yellow
Green
16

Data Totals

Add the data values to find the total.

21
7
?
23
?
8
19
5
?
26
?
9
17

Interpret This Tally Chart

Look at the tally chart and answer the questions below.

ItemTallyTotal
Red
Blue
Green
Yellow
18

Questions About the Colour Data

Answer these questions about the favourite colour data.

How many chose red?

7
8
9

How many fewer chose green than yellow?

2
3
4

Which two colours have 13 votes together?

Red + Green
Blue + Yellow
Red + Blue

How many people were surveyed?

24
26
28
19

More Data Questions

Use the data to answer.

How many more red than green?

3
4
5

Which colour got exactly 6 votes?

Red
Blue
Yellow

If 2 more people chose green, how many would green have?

5
6
7

Which colour is closest to having 7 votes?

Red
Blue
Yellow
20

Create a Bar Graph

Use this data to draw a simple bar graph. Favourite pets: Dogs 7, Cats 5, Fish 3, Birds 4.

Draw your bar graph here:

Draw here

Which pet is the most popular? ___

How many more dogs than fish? ___

21

Create Another Bar Graph

Use this data to draw a bar graph. Favourite seasons: Summer 8, Autumn 3, Winter 5, Spring 6.

Draw your bar graph here:

Draw here

Which season is the most popular? ___

How many chose winter or autumn? ___

22

Survey and Record

Survey your family or friends. Ask: What is your favourite colour? Record the results.

Colour 1: ___ — Tally: ___ — Total: ___ Colour 2: ___ — Tally: ___ — Total: ___ Colour 3: ___ — Tally: ___ — Total: ___ Colour 4: ___ — Tally: ___ — Total: ___

Which colour was the most popular? ___

How many people did you survey? ___

23

Favourite Shapes — Tally

Record these counts using tally marks.

ItemTallyTotal
Circle
Triangle
Square
Star
24

Read the Shapes Tally

Use the tally chart to answer.

Which shape is most popular?

Circle
Square
Triangle

How many more squares than stars?

5
6
7

How many shapes in total?

24
26
28

Which two shapes have 13 votes together?

Circle + Triangle
Circle + Star
Triangle + Square
25

Favourite Drinks — Picture Graph

Read the picture graph and answer the questions.

Water
Juice
Milk
Hot chocolate
1

Which drink is the most popular?

2

How many children chose milk?

3

How many more chose water than juice?

4

How many children were surveyed altogether?

26

Data Calculations

Use data to fill in the missing number.

15
8
?
22
?
9
18
6
?
30
?
12
25
10
?
20
?
8
27

True or False? Data Reading

Dogs: 7, Cats: 5, Fish: 3, Birds: 4. Circle TRUE or FALSE.

Dogs are the most popular pet

TRUE
FALSE

There are fewer fish than birds

TRUE
FALSE

There are 19 animals in total

TRUE
FALSE

Cats and fish together equal dogs and birds

TRUE
FALSE
28

Match Data Questions to Answers

Using the data: Red 9, Blue 6, Green 4, Yellow 7. Match each question to its answer.

Most popular colour?
Least popular colour?
Total votes?
Red minus Green?
5
Red
Green
26
29

Make Up Questions About Data

Use this data to write 3 questions someone could answer. Favourite sport: Football 9, Netball 6, Swimming 4, Tennis 5.

Question 1: ___

Question 2: ___

Question 3: ___

Now answer your own questions: Answer 1: ___ Answer 2: ___ Answer 3: ___

30

Home Activity: Data Collection

Collect data at home and make a graph!

  • 1Survey your family: What is your favourite food? Make a tally chart.
  • 2Count the different coloured cars that pass your house in 10 minutes. Make a bar graph.
  • 3Sort your toys into groups. Which group has the most?
  • 4Count the different types of shoes in your house. Make a picture graph.
31

Trace Numbers Used in Data

Trace these numbers — they often appear as data values.

4
6
8
10
12
15
18
20
32

Count Up the Tally

Fill in the missing tally totals.

2
4
8
10
?
5
15
20
?
?
12
14
18
?
?
33

Count and Categorise

Count the objects in each category.

?
?
?
?
34

Count Animals for a Graph

Count the animals in each group for a bar graph.

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?
?
?
35

Favourite School Subjects

Record these results using tally marks.

ItemTallyTotal
Maths
Reading
Art
Sport
36

Favourite Ice Cream Flavours

Record these survey results using tally marks.

ItemTallyTotal
Chocolate
Vanilla
Strawberry
Mint
37

Favourite Sports — Picture Graph

Read the picture graph and answer the questions.

Football
Swimming
Cricket
Tennis
1

Which sport is most popular?

2

How many chose football or tennis?

3

How many students were surveyed?

4

How many more chose football than cricket?

38

Books Read This Month

Read the picture graph about books read.

Week 1
Week 2
Week 3
Week 4
1

Which week had the most books read?

2

How many books in total this month?

3

How many more in Week 4 than Week 1?

39

Match Data Questions to Answers

Using: Football 10, Swimming 7, Cricket 5, Tennis 8. Match each question to its answer.

Most popular sport?
Least popular?
Total students?
Football minus cricket?
5
Football
Cricket
30
40

Match Categories to Totals

Match each category to its total.

Red: 4, Blue: 6
Dogs: 7, Cats: 4
Summer: 8, Winter: 5
Apples: 5, Pears: 7
11 total
10 total
13 total
12 total
41

Total Across Two Categories

Add the data values for each pair.

16
9
?
14
?
7
20
11
?
18
?
10
22
13
?
17
?
9
42

Difference Between Categories

Find the difference between data values.

7
12
?
3
?
9
5
15
?
4
?
11
6
13
?
2
?
8
43

Which Shows the Data Correctly?

Circle the correct answer.

Dogs: 7, Cats: 5. Which statement is correct?

Cats are more popular
Dogs are more popular
They are equal

Summer: 8, Winter: 4. How many more chose summer?

2
4
6

Total of Red 9 and Blue 6 is...

13
14
15

If apples = 5 and oranges = 8, what is the difference?

2
3
4
44

Bar Graph Reading

Use this data: Cats 6, Dogs 9, Fish 4, Birds 7. Circle the correct answer.

The tallest bar shows...

Cats
Dogs
Fish

The shortest bar shows...

Birds
Fish
Cats

Dogs and fish together = ?

11
13
15

How many more dogs than cats?

1
2
3
45

Sort: More or Less than 10?

Sort these data values.

Football: 10
Cricket: 7
Tennis: 12
Swimming: 9
Netball: 11
Basketball: 8
Less than 10
10 or more
46

Sort Data Values from Smallest to Largest

Sort these data values in order.

Apples: 6
Bananas: 10
Grapes: 8
Mangoes: 12
Oranges: 5
Pears: 9
Smaller (5–8)
Larger (9–12)
47

Compare Data Values

Circle the larger data value.

7 or 9?

vs

12 or 8?

vs

Are these equal?

vs

15 or 10?

vs
48

Interpret the Bar Graph

Favourite colours data: Red 9, Blue 6, Green 4, Yellow 7.

The most popular colour is: ___

The least popular colour is: ___

Total number of people surveyed: ___

How many more chose Red than Green? ___

If 3 more people chose Blue, how many would Blue have? ___

49

Draw a Picture Graph

Use this data: Dogs 5, Cats 8, Fish 3, Rabbits 6. Draw a picture graph using one symbol for each vote.

Draw your picture graph here (each symbol = 1 vote):

Draw here

Total votes: ___

Most popular pet: ___

50

Collect and Record Your Own Data

Ask 8 people which is their favourite: beach, mountains, city or bush. Record your results.

Beach: ___ Mountains: ___ City: ___ Bush: ___

Show your data as a tally chart:

Draw here

The most popular choice is: ___

Write one question about your data: ___

51

Data Challenges

Use data to solve each problem.

A graph shows: Red 8, Blue 5, Green 7. If 4 more chose red, how many would red have? ___

Total students = 25. Cats: 8, Dogs: 9. How many chose something else? ___

Create your own data problem for someone to solve: ___

52

Trace Data Numbers

Trace these numbers often seen in data and graphs.

1
2
3
4
5
6
7
8
9
10
53

Match Data Terms to Definitions

Draw a line to match each term to its definition.

Category
Frequency
Survey
Bar graph
A graph using bars to show data
How many times something occurs
A group in a data set
Asking questions to collect information
54

Graph Reading

Use this data to answer: Dogs 8, Cats 5, Fish 3, Birds 6.

The most popular pet is...

Cats
Dogs
Birds

The least popular pet is...

Dogs
Birds
Fish

How many more dogs than cats?

2
3
4

Total pets counted is...

20
22
24
55

Sort Data: More or Fewer than 5?

Sort these data values.

Red: 3
Blue: 7
Green: 5
Yellow: 2
Purple: 9
Orange: 5
Fewer than 5
Exactly 5
More than 5
56

Count Tally Marks

Count the tally marks. Write the total.

?
?
?
57

Data Sequences

Fill in the missing data value.

2
4
6
10
?
10
8
4
2
?
6
9
12
?
?
58

Data Totals

Find the total for each graph (two categories).

15
8
?
20
?
12
25
13
?
18
?
7
30
17
?
22
?
9
59

Data on Ten Frames

Each dot = 1 response. Count the responses.

?
?
?
?
60

Compare Survey Results

Circle which category got more responses.

Soccer 9 or Tennis 7?

vs

Beach 4 or Bush 8?

vs

Are Cats and Dogs equal?

vs

Blue 11 or Red 5?

vs
61

Design Your Own Survey

Plan and record your own class survey.

My survey question is: ___

My four categories are: ___, ___, ___, ___

Ask 10 classmates and record their answers:

Draw here

Which category won? ___

62

Read and Write About a Graph

Look at the data: Sports: Soccer 10, Swimming 7, Cricket 5, Tennis 8.

Write 3 facts from this data: 1. ___ 2. ___ 3. ___

Write one question someone could ask about this data: ___

What would happen to the graph if 5 more people chose Cricket? ___

63

Data Repeating Pattern

Continue the pattern. Each object represents one data point.

?
?
?
?
?
?
64

Graph Shapes

Trace the shapes used in bar graphs.

Rectangle (bar)4 sides
Square (grid cell)4 sides
Triangle (arrow)3 sides