Data Representation and-Interpretation Worksheets-Year-5-Year-Level-Displayed 58142 PDF

Title Data Representation and-Interpretation Worksheets-Year-5-Year-Level-Displayed 58142
Course Mathematics
Institution Macquarie University
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Data Representation and-Interpretation Worksheets-Year-5-Year-Level-Displayed 58142 Data Representation and-Interpretation Worksheets-Year-5-Year-Level-Displayed 58142 Data Representation and-Interpretation Worksheets-Year-5-Year-Level-Displayed 58142 Data Representation and-Interpretation Worksheet...


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Year 5 - Data Representation and Interpretation – Questions

Name

Date

Posing Questions (A) 1

You are planning to conduct a survey to investigate what kinds of mini-beasts live in your class vegetable garden. Write three questions you would need to think about before conducting this survey. a) b) c)

2

You are interested in discovering what is the busiest time of day for car traffic on the main road outside your school. Write three questions you would need to think about before conducting this survey. a) b) c)

3

You heard on television that many children do not do any exercise. You want to see if this is true for your classmates. Write three questions you would need to think about before conducting this survey. a) b) c)

STATISTICS AND PROBABILITY

Year 5 - Data Representation and Interpretation – Questions

Name

Date

Posing Questions (B) 1

You are planning to conduct a survey to investigate how your classmates spend their leisure time on weekends. Write three questions you would need to think about before conducting this survey. a) b) c)

2

You are interested in discovering which types of birds visit the bird feeder in the tree outside your classroom. Write three questions you would need to think about before conducting this survey. a) b) c)

3

You heard on the radio that children watch around four hours of television a day. You want to see if this is true for your classmates. Write three questions you would need to think about before conducting this survey. a) b) c)

STATISTICS AND PROBABILITY

Year 5 - Data Representation and Interpretation – Answers

Posing Questions (A) – Suggested Answers 1

You are planning to conduct a survey to investigate what kinds of mini-beasts live in your class vegetable garden. Write three questions you would need to think about before conducting this survey.

2

a)

How frequently will I check the garden?

b)

Will I check the same section of the garden each time?

c)

Which mini-beasts will I be looking for?

You are interested in discovering what is the busiest time of day for car traffic on the main road outside your school. Write three questions you would need to think about before conducting this survey.

3

a)

For how many days will I observe the traffic?

b)

How will I record my data?

c)

What is the best way to display my data?

You heard on television that many children do not do any exercise. You want to see if this is true for your classmates. Write three questions you would need to think about before conducting this survey. a)

What constitutes exercise?

b)

How much is enough exercise?

c)

How many children will I need to survey to get a fair representation?

STATISTICS AND PROBABILITY

Year 5 - Data Representation and Interpretation – Answers

Posing Questions (B) – Suggested Answers 1

You are planning to conduct a survey to investigate how your classmates spend their leisure time on weekends. Write three questions you would need to think about before conducting this survey.

2

a)

What constitutes leisure time?

b)

Will I provide options for people to choose from?

c)

What is the best way to represent the data that I collect?

You are interested in discovering which types of birds visit the bird feeder in the tree outside your classroom. Write three questions you would need to think about before conducting this survey.

3

a)

How many times a day will I observe the birds?

b)

How will I record my data?

c)

How can I make sure that the data is a true representation?

You heard on the radio that children watch around four hours of television a day. You want to see if this is true for your classmates. Write three questions you would need to think about before conducting this survey. a)

Will I survey my classmates in person or give them a written questionnaire?

b)

Will I classify weekends and weekdays as different times?

c)

Will I include students who don’t watch television at all?

STATISTICS AND PROBABILITY

Year 5 - Data Representation and Interpretation – Questions

Name

Date

Constructing Column Graphs (A)

1

Construct a column graph to display the information contained in the table below. Don’t forget to label the axis and write a title for your graph.

2

Favourite Subject

No. of Students

English

5

Maths

3

Science

4

History

5

Music

7

Art

4

P.E.

2

Use your column graph to answer the following questions: a)

How many more students like Music than those that like Art?

b)

More students prefer Maths to Science. True/False

c)

Which subject is the students’ favourite?

d)

Which subject is the students’ least favourite? STATISTICS AND PROBABILITY

Year 5 - Data Representation and Interpretation – Questions

Name

Date

Constructing Column Graphs (B)

1

2

Construct a column graph to display the information contained in the table below. Don’t forget to label the axis and write a title for your graph. Favourite Pets

No. of Students

cat

8

dog

9

fish

0

rabbit

5

mice

2

guinea pig

5

snake

1

Use your column graph to answer the following questions: a)

More students prefer rabbits to mice. True/False

b)

Which two animals received the same amount of votes?

c)

Which pet had double the number of snake votes?

d)

How many students were surveyed altogether? STATISTICS AND PROBABILITY

Year 5 - Data Representation and Interpretation – Answers

Constructing Column Graphs (A) – Answers Favourite Subjects

10 9

No. of Students

8 7 6 5 4 3 2 1 English Maths Science History Music

Art

P.E.

School Subjects 1

2

Construct a column graph to display the information contained in the table below. Don’t forget to label the axis and write a title for your graph. Favourite Subject

No. of Students

English

5

Maths

3

Science

4

History

5

Music

7

Art

4

P.E.

2

Use your column graph to answer the following questions: a)

How many more students like Music than those that like Art?

b)

More students prefer Maths to Science. True/False

c)

Which subject is the students’ favourite?

d)

Which subject is the students’ least favourite? P.E. STATISTICS AND PROBABILITY

Music

False

3

Year 5 - Data Representation and Interpretation – Answers

Constructing Column Graphs (B) – Answers Favourite Pets

10 9

No. of Students

8 7 6 5 4 3 2 1 cat

dog

fish

rabbit

mice

guinea pig

Pets 1

2

snake

Construct a column graph to display the information contained in the table below. Don’t forget to label the axis and write a title for your graph. Favourite Pets

No. of Students

cat

8

dog

9

fish

0

rabbit

5

mice

2

guinea pig

5

snake

1

Use your column graph to answer the following questions: a)

More students prefer rabbits to mice. True/False

b)

Which two animals received the same amount of votes?

c)

Which pet had double the number of snake votes?

mice

d)

How many students were surveyed altogether?

30

STATISTICS AND PROBABILITY

True rabbit and guinea pig

Year 5 - Data Representation and Interpretation – Questions

Name

Date

Constructing Dot Plots (A)

= 1 student

1

2

Construct a dot plot to display the information contained in the table below. Don’t forget to write a title for your graph. No. of Siblings

No. of Students

0

7

1

8

2

5

3

4

4

0

5

0

6

1

Use your dot plot to answer the following questions: a)

How many siblings do the majority of students surveyed have?

b)

More students have 1 sibling than 2. True/False

c)

How many students have 3 or more siblings?

d)

How many students have 1 or less siblings? STATISTICS AND PROBABILITY

Year 5 - Data Representation and Interpretation – Questions

Name

Date

Constructing Dot Plots (B)

= 2 sales

1

2

Construct a dot plot to display the information contained in the table below. Don’t forget to write a title for your graph. Shoe Sizes

No. of Sales

5

2

6

13

7

10

8

10

9

3

10

0

11

2

Use your dot plot to answer the following questions: a)

Which shoe size had the most sales?

b)

Size 7 sold more shoes than sizes 5, 9 and 11 put together? True/False

c)

How could this dot plot help the owner of the shoe shop with their orders?

STATISTICS AND PROBABILITY

Year 5 - Data Representation and Interpretation – Answers

Constructing Dot Plots (A) – Answers Number of Students' Siblings

0

1

2

3

4

5

6 = 1 student

No. of Siblings

1

2

Construct a dot plot to display the information contained in the table below. Don’t forget to write a title for your graph. No. of Siblings

No. of Students

0

7

1

8

2

5

3

4

4

0

5

0

6

1

Use your dot plot to answer the following questions: a)

How many siblings do the majority of students surveyed have?

b)

More students have 1 sibling than 2. True/False

c)

How many students have 3 or more siblings?

d)

How many students have 1 or less siblings? STATISTICS AND PROBABILITY

True 5 15

1

Year 5 - Data Representation and Interpretation – Answers

Constructing Dot Plots (B) – Answers Shoes Sold by Size

5

6

7

8

9

10

= 2 sales

Shoe Sizes

1

2

11

Construct a dot plot to display the information contained in the table below. Don’t forget to write a title for your graph. Shoe Sizes

No. of Sales

5

2

6

13

7

10

8

10

9

3

10

0

11

2

Use your dot plot to answer the following questions: a)

Which shoe size had the most sales?

b)

Size 7 sold more shoes than sizes 5, 9 and 11 put together? True/False

c)

How could this dot plot help the owner of the shoe shop with their orders?

Size 6 True

It could help the owner to know which shoe sizes to order more or less of.

STATISTICS AND PROBABILITY

Year 5 - Data Representation and Interpretation – Questions

Name

Date

Constructing Tables (A) 1

Luca flipped a coin 10 times. Here are the results: tail, head, tail, head, tail, tail, tail, head, tail, head Construct a table to display Luca’s results. Don’t forget to write a title for your table.

2

Use your table to answer true or false for the following statements: a)

The coin landed on heads more than tails.

b)

There is an even chance that the coin will land on heads or tails.

c)

The coin landed on tails 60% of the time.

d)

It is impossible for the coin to land on tails 10 times in a row. STATISTICS AND PROBABILITY

Year 5 - Data Representation and Interpretation – Questions

Name

Date

Constructing Tables (B) 1

Jemima rolled a dice 20 times. She rolled the following numbers: 6, 6, 4, 1, 2, 6, 4, 4, 5, 3, 4, 2, 1, 1, 1, 6, 5, 2, 2, 3 Construct a table to display Jemima’s results. Don’t forget to write a title for your table.

2

Use your table to answer true or false for the following statements: a)

The number 3 was the most common number rolled.

b)

There is a 1 in 5 chance of rolling a 6.

c)

The number 4 was rolled 20% of the time.

d)

The number 1 was rolled 10% of the time. STATISTICS AND PROBABILITY

Year 5 - Data Representation and Interpretation – Answers

Constructing Tables (A) – Answers 1

Luca flipped a coin 10 times. Here are the results: tail, head, tail, head, tail, tail, tail, head, tail, head Construct a table to display Luca’s results. Don’t forget to write a title for your table.

2

Outcome

Frequency

heads

4

tails

6

Use your table to answer true or false for the following statements: a)

The coin landed on heads more than tails.

b)

There is an even chance that the coin will land on heads or tails.

c)

The coin landed on tails 60% of the time.

d)

It is impossible for the coin to land on tails 10 times in a row. STATISTICS AND PROBABILITY

False True

True False

Year 5 - Data Representation and Interpretation – Answers

Constructing Tables (B) – Answers 1

Jemima rolled a dice 20 times. She rolled the following numbers: 6, 6, 4, 1, 2, 6, 4, 4, 5, 3, 4, 2, 1, 1, 1, 6, 5, 2, 2, 3 Construct a table to display Jemima’s results. Don’t forget to write a title for your table.

2

Outcome

Frequency

1

4

2

4

3

2

4

4

5

2

6

4

Use your table to answer true or false for the following statements: a)

The number 3 was the most common number rolled.

b)

There is a 1 in 5 chance of rolling a 6.

c)

The number 4 was rolled 20% of the time.

True

d)

The number 1 was rolled 10% of the time.

False

STATISTICS AND PROBABILITY

False

False...


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