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Gozo College – Rabat Primary School

(Mr. George Curmi)

DATA HANDLING

Math is fun! Worksheets

Year 4

NAME: _______________________________

CLASS: _______________________________

2

Frequency Tables

1. Complete the frequency table to show how many times each dice number appears. Then use the frequency table to answer questions 2 to 5 below.

Dice Number Frequency

1

2

3

4

5

6

2. Which dice number appears:

a. most often? b. least often?

3

c. 5 times? d. 3 times?

e. 6 times? f. 2 times?

3. Which two dice numbers appear the same number of times?

and

4. How many of the dice numbers are:

a. 1 or 2? b. 3 or 4?

c. 5 or 6? d. even numbers?

e. odd numbers? f. smaller than 4?

5. Are these statements true or false?

a. Dice number 3 appears more often than dice number 4.

b. Dice number 6 appears two times less than dice number 2.

c. Dice number 1 appears one time more than dice number 4.

d. All dice numbers appeared more than two times each.

e. The data on the frequency table is based on 24 dice throws.

f. Half of the dice throws are 1s, 2s or 3s.

4

Frequency Tables

1. Complete the frequency table to show how many of each card number there are. Then use the frequency table to answer questions 2 to 5 below.

Card Number Frequency

2

3

4

5

6

7

8

2. How many of these cards are:

a. 4s? b. 6s?

5

c. 3s? d. 5s?

e. 3 or more? f. less than 5?

g. odd? h. even?

3. Complete the frequency table to show how many of each suit there are.

Suit Frequency

hearts

diamonds

clubs

spades

4. How many of these cards are:

a. hearts or diamonds?

a. clubs or spades?

5. Are these statements true or false?

a. The suit that appears most often is the hearts.

b. The number that appears the least often is the number 8.

c. The suit that appears less often is the diamonds.

d. The number that appears most often is the number 2.

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Frequency Tables The year 4 children were asked their favourite sport. The votes were:

1. For boys, which sport had:

a. most votes?

b. second most votes?

c. least votes?

d. 5 votes?

e. 3 less votes than swimming?

f. 2 more votes than cricket?

2. For girls, which sport had:

a. 3 more votes than skating?

b. 2 fewer votes than rounders?

c. 5 votes?

d. least votes?

e. most votes?

f. second most votes?

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3. Write how many:

a. boys voted

b. girls voted

4. Complete the frequency table to show all their votes together.

Sport Frequency

Football

Running

Swimming

Roller Blading

Cycling

Cricket

Rounders

Netball

Skating

5. Use the new frequency table above to complete the sentences.

a. The most favourite sport is

b. The least favourite sport is

c. The second most favourite sport is

d. and skating got the same number of votes.

e. and running got the same number of votes.

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Bar Graphs

1. How many vote for:

a. football? b. cycling?

c. swimming? d. rounders?

e. tennis? f. running?

2. Which sport is:

a. most popular?

b. least popular?

3. Which sports had:

a. more than 4 votes?

b. fewer than 7 votes?

4. How many children voted in total?

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Bar Graphs

1. Complete the frequency table about the superhero cards.

2. Complete the bar graph.

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Frequency Tables and Bar Graphs Complete the frequency table to show how many of each shape. Then use the frequency table below to answer the questions below.

Shape Frequency

square

circle

rectangle

pentagon

triangle

hexagon

1. Which shape appears:

most often?

least often?

5 times? 6 times?

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2. Which two shapes appear for the same number of times?

and

3. How many shapes are there altogether?

4. Use the information on the shapes frequency table to draw a bar graph.

DIFFERENT KINDS OF SHAPES

N

U

M

B

E

R

SHAPE NAME

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Frequency Tables and Bar Graphs The year 4 children went to the restaurant. Complete the frequency table to show what they ordered. Then use the frequency table below to answer the questions below.

Food Frequency

burger

spaghetti

pizza

fish

hot dog

1. Which foods do the children prefer:

most? least?

2. How many children went to the restaurant?

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3. How many children prefer burgers than:

hot dogs? spaghetti?

fish? pizza?

4. The second most favourite food was

5. Use the information on the food frequency table to draw a bar graph.

FOOD ORDERED BY YEAR 4

N

U

M

B

E

R

FOOD

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Frequency Tables and Bar Graphs The year 6 children voted for their most favourite sports. Complete the frequency table to show how they voted.

Sport Frequency

karate

horse riding

swimming

football

cycling

athletics

1. Use the frequency table to complete these sentences.

a) The most favourite sport among year 4 children is __________ and the

second most favourite is __________.

b) __________ and __________ got the same number of votes.

c) The least favourite sport is __________.

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d) There is a difference of __________ votes between football and karate.

e) Two boys and four girls voted for __________.

2. Use the information on the sports frequency table to draw a bar graph.

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Frequency Tables and Bar Graphs These are the chocolate bars that the year 6 children prefer most. Complete the frequency table to show how they voted.

Chocolate Bar Frequency

Mars

Aero

Twix

Bounty

Snickers

Kit Kat

Use the frequency table to complete these sentences.

a) The most favourite chocolate bar among the year 4 children is

______________ and the least favourite is ______________.

b) ______________ and ______________ got the same number of votes.

c) Two more children prefer Mars than ______________.

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d) Five less children prefer Bounty than ______________.

e) In the year 4 class there are _________ children.

f) Two boys and one girl prefer ______________.

Use the information on the chocolate bars frequency table to draw a bar graph.

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Frequency Tables and Bar Graphs All Year 4 students at The Happy School were asked to choose their most favourite ice-cream flavour.

Stu

de

nts

Ban

ana

Lem

on

Van

illa

Co

oki

e

Min

t

Pe

ach

Ice-Cream Flavours

From the bar graph above:

1. How many students like cookie ice-cream?

2. How many more students prefer peach than vanilla ice-cream?

3. There are 42 Year 4 students at Victoria Primary School in all. a) Calculate how many students like banana ice-cream?

b) Complete the bar graph by drawing the banana bar.

10

9

8

7

6

5

4

3

2

1

0

students

students

students

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Explore

Buy a small packet of smarties. Sort the smarties in groups according to their colour. Draw a bar graph to show the results.

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Frequency Tables and Bar Graphs Melissa had a day out at the beach with her family. She saw various sea creatures and recorded the count of each kind in a frequency table.

Sea Creatures Frequency

Jelly fish 12

Crabs 7

Fish 15

Seagulls 10

Starfish 4

Sea snails 14

1. Use the frequency table above to complete the sentences.

a. The most common sea creatures were the _________.

b. The least common sea creatures were the _________.

c. Melissa saw less than ten _________ and _________.

d. She saw more than twelve _________ and _________.

e. At the beach, she saw _____ more fish than jelly fish.

f. Melissa saw _____ less starfish than sea snails.

g. She saw half as many crabs than ________.

h. There is a difference of _____ between the most common sea

creatures and the least common ones.

i. Melissa saw more jellyfish than the _________ and the _________

put together.

j. She saw as many sea snails as the _________

and the _________ put together.

k. She saw ________ sea creatures in all.

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2. Use the frequency table above to draw a bar graph.

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Pictographs Class F voted for their favourite icr-cream flavour. The votes were:

1. Which flavour was:

most popular? least popular?

2. Write how many children voted for:

vanilla?

toffee?

strawberry?

minty?

chocolate chip or toffee?

minty or strawberry?

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3. Write how many more voted for:

chocolate chip than toffee?

chocolate chip than vanilla?

minty than toffee?

strawberry than toffee?

strawberry than minty?

4. Write how many less voted for:

vanilla than strawberry?

toffee than vanilla?

chocolate chip than strawberry?

chocolate chip than minty?

vanilla than minty?

5. Write how many children voted in all.

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Pictographs

Stephen’s dadi s spelling balls this week. Draw a pictograph to show how many of each ball in the picture.

Tennis

Balls

Basket

Balls

Footballs

Beach

Balls

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Use the pictograph to answer these.

1. Write how many balls are:

beach balls

tennis balls

footballs

basketballs

2. Write how many balls are:

not tennis balls

not footballs

not beach balls nor basketballs

3. Write how many more of the balls are:

tennis balls than beach balls

basketballs than footballs

tennis balls than footballs

4. How many balls does Stephen’s dad have?

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Pictographs

The Year 4 classes of the Happy School had a cake sale. Draw a pictograph to show the different cakes.

Chocolate

Cake

Jalebi

Baklava

Sponge

Cake

Fruit Cake

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Use your pictograph to answer these.

1. Which cake is:

most common?

least common?

second most common?

second least common?

2. How many cakes are:

fruit cakes?

sponge cakes?

jalebi?

baklava?

chocolate cakes?

3. How many more of the cakes are:

jalebi than baklava?

baklava than sponge cakes?

jalebi than fruit cakes?

fruit cakes than chocolate cakes?

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Pictographs The year 4 students at the Happy School voted for their favourite movie. The votes were:

1. Which movie was:

most popular? least popular?

2. How many students voted for:

Despicable Me?

Ice Age?

Frozen? Planes?

3. How many more students voted for:

Despicable Me than Ice Age?

Frozen than Toy Story?

Ice Age than Planes?

4. How many students voted in all?

Key

= 2 votes

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Pictographs Some of the students at the Happy School voted for their favourite book series. The votes were:

1. Which book series was:

a) most popular? ___________ b) least popular? ___________

2. How many students voted for:

a) Thea Stilton? __________ b) Beast Quest? ___________

c) Horrid Henry? __________ d) Candy Fairies? ___________

3. How many more students prefer:

a) Geronimo Stilton than Beast Quest? ___________________________

b) Horrid Henry than Candy Fairies? _____________________________

4. How many students voted in all?

___________________________________________________________

Key

= 2 votes

= 1 vote

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Pictographs Some of the students at the Happy School have a pet. These are the pets they have:

a

1. Which pet was:

a) most popular? ______________ b) least popular? ______________

2. How many students have:

a) a fish? ________ b) a turtle? ________ c) a rabbit? ________

d) a cat or a rabbit? ________ e) a frog or a dog? ________

3. How many more students have:

a) a dog than a turtle? ________________________________________

b) a cat than a fish? __________________________________________

4. How many students have a pet? ________________________________

5. If there are 40 students at the Happy School, how many do not have a

pet? _______________________________________________________

Key

= 2 pets

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Explore Ask all the children in your class which are their two most favourite kinds of juices. Tell them to choose from peach, orange, pear, pineapple, apple and banana juice. Draw a pictograph to show the results. Don’t forget to include the key.

Key

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Pictographs Luigi’s Pizza House is famous for it’s delicious pizzas. Last Sunday, Luigi made a

survey about his customers’ favourite pizzas. He recorded his results in the

tally chart below.

PIZZA TALLIES TOTAL VOTES

Four Cheeses

Meat Feast

Vegetarian

Marinara

Smoked Chicken

Margherita

Luigi’s Special

Complete:

1. The most ordered pizza was ______________.

2. The least ordered pizza was ______________.

3. The fourth most ordered pizza was the ______________.

4. More people ordered the Smoked Chicken Pizza than the

______________ Pizza and the ______________ Pizza.

5. More than fourteen people ordered the ___________ Pizza and the

______________ Pizza.

6. The number of people who ordered Luigi’s Special Pizza was double of

those who ordered the ______________ Pizza.

7. Four more people ordered the ______________ Pizza than the

______________ Pizza.

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8. How many customers voted in all? Show your working.

9. Use the key below to complete the pictograph.

Four

Cheeses

Meat Feast

Vegetarian

Marinara

Smoked

Chicken

Margherita

Luigi’s

Special

customers voted

Key

= 2 pizza = 1 pizza

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Missing data

Arthur made a survey about his friends’ favourite video games. He recorded the information gathered on a frequency table, on a pictograph and on a bar graph but on all three he has some data missing. Can you help him complete the frequency table, the pictograph and the bar graph?

FREQUENCY TABLE

Video Game Votes

Super Granny 11

Happy Cows

Space Worms 7

Alphabet Penguins

Cats with Hats

Angry Mums

PICTOGRAPH

Super Granny

Happy Cows

Space Worms

Alphabet Penguins

Cats with Hats

Angry Mums

KEY: = 2 votes = 1 vote

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BAR GRAPH

CHILDREN’S FAVOURITE VIDEO GAMES

N

U

M

B

E

R

Sup

er G

ran

ny

Hap

py

Co

ws

Spac

e W

orm

s

Alp

hab

et P

engu

ins

Cat

s w

ith

Hat

s

An

gry

Mu

ms

VIDEO GAMES

12

11

10

9

8

7

6

5

4

3

2

1

0

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Carroll Diagrams Draw all the shapes below in the Carroll Diagram.

More than 4 sides Not more than 4 sides

Stra

igh

t lin

es

on

ly

No

t st

raig

ht

lines

on

ly

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Carroll Diagrams Write all the numbers below in the Carroll Diagram.

Multiples of 3 Not multiples of 3

Eve

n n

um

be

rs

Od

d n

um

ber

s

3

9

24

16

34

15

30

36

22

33

20 18

29 12

7

27

17

25 11

21

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Carroll Diagrams Write the names of the animals below in the Carroll Diagram.

Pets Wild animals

Hav

e f

ou

r le

gs

Do

no

t h

ave

fo

ur

legs

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Carroll Diagrams Write all the numbers from 1 to 40 in the Carroll diagram.

Multiple of 4 Not a multiple of 4

Mu

ltip

le o

f 3

No

t a

mu

ltip

le o

f 3

40

Carroll Diagrams Write each number in the correct place in the Carroll diagram.

16 31 72 20 30 56

10 12 11 48 24 27

40 19 8 35 28 44

18 64 36 80 39 32

Multiple of 8 Not a multiple of 8

Mu

ltip

le o

f 2

No

t a

mu

ltip

le o

f 2

1. Which box has no numbers in it?

___________________________________________________________

2. Explain why it has no numbers in it?

___________________________________________________________

___________________________________________________________