CTJan27 Online Year 4 - Statistics and Data Analysis

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Collecting data using surveys and observations

Questions for: Collecting data using surveys and observations

1

Which of the following is the best way to find out the favorite ice cream flavor of all the students in your class?

Watch the students eat ice cream and guess their favorite.

Decide that chocolate is the best flavor for everyone.

Look up the most popular ice cream flavor in the country.

Ask each student their favorite flavor.

2

A scientist wants to know how many cars pass by the school between 8:00 AM and 9:00 AM. What is the best method to collect this data?

Ask the car drivers where they are going.

Read a book about traffic patterns.

Guess the number of cars based on the number of students.

Sit by the road and count the cars that pass.

3

Maria wants to know which type of pet is the most common in her neighborhood. She walks around and notes down every pet she sees in a yard or on a leash. What method is Maria using?

A survey

Reading a story

An observation

An experiment

4

You want to find out the favorite subject of your classmates. Which method would give you the most accurate information?

Giving each classmate a list of subjects and asking them to pick their favorite.

Observing which class students seem to smile in the most.

Assuming everyone likes the same subject as you.

Counting the number of books for each subject in the library.

5

When you collect information by asking questions or by observing, what are you gathering?

Homework

Data

Opinions

Stories

6

Leo is creating a survey to find out what students want to do for the class party. Which is the BEST question to ask?

"Do you want to have a fun party?"

"Which activity would you prefer for the party: watching a movie, playing board games, or having a craft session?"

"What did we do for the party last year?"

"Don't you think watching a movie is the best idea?"

7

To find out which corner of the playground is used the most during recess, what should you do?

Ask the principal for their opinion.

Watch the playground during several recesses and tally where students are playing.

Ask your best friend where they like to play.

Read the school rules about the playground.

8

Which of these involves collecting data through a survey?

Measuring the height of a plant every day.

Watching a soccer game to see who scores a goal.

Counting the number of blue birds you see in the park.

Asking your family members what their favorite TV show is.

9

Why is it important to collect data using methods like surveys and observations?

To make decisions based on facts and evidence.

To have something to write about.

To show your teacher you are busy.

To guess what might happen in the future without any information.

10

A store manager wants to know which new toy is most popular. She stands near the toy aisle and writes down which toy each child picks up to look at. This is an example of...

Collecting data through observation.

Reading a customer's mind.

Collecting data through a survey.

Doing a math problem.

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Organizing data in tally charts and frequency tables

Questions for: Organizing data in tally charts and frequency tables

11

How would you write the number $8$ using tally marks?

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12

The tally marks for the number of red cars seen is |||| |||| ||. What is the frequency (the number) of red cars?

$11$

$10$

$13$

$12$

13

A class voted for their favorite season. The results are: Summer, Winter, Summer, Fall, Spring, Summer, Fall, Summer, Winter. What is the frequency of 'Summer'?

$5$

$3$

$2$

$4$

14

Look at this frequency table about favorite pets:

Which pet is the most popular?

Pet Frequency
Dog 9
Cat 11
Fish 6
Bird 4

Dog

Cat

Fish

Bird

15

Using the same frequency table about favorite pets:

How many students were surveyed in total?

$30$

$26$

$20$

$32$

16

A tally chart is being made for the different types of fruits in a basket. There are $6$ apples. Which of these shows the correct tally for apples?

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17

What is the main purpose of a frequency table?

To draw pictures of the data.

To organize and show how often each piece of data occurs.

To show data in a story.

To list all the data in a long line.

18

Leo recorded the colors of cars in the parking lot: Red, Blue, Black, Red, Silver, Blue, Red, Black, Red. How should he record the tally for 'Red'?

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19

In a frequency table, the number '14' is shown for the category 'Sunny Days'. What would the tally marks for this number look like?

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Creating and interpreting pictographs with a key

Questions for: Creating and interpreting pictographs with a key

20

A pictograph shows the number of books read by students in a month. The key says that one book symbol (๐Ÿ“š) represents 6 books. If the 'Fantasy' category has 4 book symbols (๐Ÿ“š๐Ÿ“š๐Ÿ“š๐Ÿ“š), how many fantasy books were read in total?

24 books

10 books

6 books

4 books

21

The following pictograph shows the favorite sports of Grade 4 students.

Favorite Sports Soccer: โšฝโšฝโšฝโšฝ Basketball: โšฝโšฝโšฝ Baseball: โšฝโšฝ

Key: โšฝ = 10 students

How many more students chose Soccer than Baseball?

20 students

10 students

2 students

40 students

22

A bakery tracks the number of cupcakes sold on a Saturday.

Cupcakes Sold Chocolate: ๐Ÿง๐Ÿง๐Ÿง๐Ÿง๐Ÿง Vanilla: ๐Ÿง๐Ÿง๐Ÿง Strawberry: ๐Ÿง๐Ÿง๐Ÿง๐Ÿง

Key: ๐Ÿง = 8 cupcakes

What is the total number of cupcakes sold on Saturday?

12 cupcakes

40 cupcakes

96 cupcakes

80 cupcakes

23

A farmer is creating a pictograph to show the number of animals on her farm. The key is that one star symbol (โญ) represents 5 animals. If she has 35 chickens, how many star symbols should she draw for the chickens?

7 symbols

10 symbols

35 symbols

5 symbols

24

A pictograph shows the number of hours students spent playing video games in a week. The key is that one controller symbol (๐ŸŽฎ) equals 4 hours. How many hours does ๐ŸŽฎ๐ŸŽฎ๐ŸŽฎ and a half controller represent?

12 hours

16 hours

13 hours

14 hours

25

Liam wants to make a pictograph of his coin collection: 20 5c coins, 10 10c, and 15 50c. Which key would be the most suitable for his pictograph?

Key: 1 symbol = 20 coins

Key: 1 symbol = 5 coins

Key: 1 symbol = 3 coins

Key: 1 symbol = 2 coins

26

A class recorded the weather for a month.

Weather Types Sunny: โ˜€๏ธโ˜€๏ธโ˜€๏ธโ˜€๏ธโ˜€๏ธโ˜€๏ธ Cloudy: โ˜€๏ธโ˜€๏ธโ˜€๏ธ Rainy: โ˜€๏ธ

Key: โ˜€๏ธ = 3 days

How many days were either cloudy or rainy?

4 days

15 days

12 days

9 days

27

A pictograph shows flowers in a garden. The key is ๐ŸŒธ = 6 flowers.

Flowers Roses: ๐ŸŒธ๐ŸŒธ๐ŸŒธ๐ŸŒธ Tulips: ๐ŸŒธ๐ŸŒธ

If the gardener plants 12 more tulips, how many new ๐ŸŒธ symbols will need to be added to the 'Tulips' row?

1 symbol

6 symbols

2 symbols

12 symbols

28

In a pictograph, the key is that one apple symbol (๐ŸŽ) equals 4 votes. How many votes do five and a half apple symbols (๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ and a half ๐ŸŽ) represent?

21 votes

24 votes

20 votes

22 votes

29

A school library tracked the types of books borrowed.

Borrowed Books Mystery: ๐Ÿ“–๐Ÿ“–๐Ÿ“–๐Ÿ“– Adventure: ๐Ÿ“–๐Ÿ“–๐Ÿ“–๐Ÿ“–๐Ÿ“–๐Ÿ“– Science: ๐Ÿ“–๐Ÿ“–

Key: ๐Ÿ“– = 20 books

How many books need to be borrowed from the Science section to equal the number of borrowed Mystery books?

60 books

20 books

2 books

40 books

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Creating and labeling vertical and horizontal bar graphs

Questions for: Creating and labeling vertical and horizontal bar graphs

30

What is the best title for a bar graph showing the number of students who chose dogs, cats, fish, or birds as their favorite pet?

Animals

Types of Pets

Favorite Pets

Number of Students

31

Maria is making a vertical bar graph to show her friends' favorite colors: Red, Blue, Green, and Yellow. What should she label the horizontal axis (the one at the bottom)?

Maria's Graph

Colors

Number of Friends

Height of Bars

32

In Maria's vertical bar graph about favorite colors, what should she label the vertical axis (the one going up the side)?

Red, Blue, Green

Number of Friends

Colors

Favorite Things

33

Alex is creating a bar graph for the number of books read by his friends. The numbers are $4$, $8$, $6$, and $12$. What is the best scale to use for the axis that shows the number of books?

Counting by $10$s (e.g., $0, 10, 20, 30...$)

Counting by $5$s (e.g., $0, 5, 10, 15...$)

Counting by $1$s (e.g., $0, 1, 2, 3...$)

Counting by $2$s (e.g., $0, 2, 4, 6...$)

34

If you are making a horizontal bar graph to show the number of different types of trees (Oak, Maple, Pine) in a park, where would you list the tree types?

On the horizontal axis (the bottom)

On the vertical axis (the side)

Above each bar

In the title of the graph

35

Why is it most important to have labels on the horizontal and vertical axes of a bar graph?

To tell us what the bars and numbers on the graph represent.

To show the person who made the graph.

To make the graph look neat and tidy.

To fill up empty space on the paper.

36

A survey shows that $9$ students chose chocolate as their favorite ice cream. On a vertical bar graph with a scale counting by $1$s, how high should the bar for 'Chocolate' be?

Up to the line for the number $12$

Up to the line for the number $6$

Up to the line for the number $9$

Up to the line for the number $8$

37

Ben made a bar graph. He drew the bars and labeled the bottom axis 'Days of the Week'. He labeled the side axis 'Number of Pizzas Sold'. What important part of the graph is still missing?

The axis labels

The scale

A title

The bars

38

A teacher has data on the number of students who play four different sports: Soccer, Basketball, Baseball, and Tennis. What is the best way to create a visual display to compare the number of students in each sport?

Write a story about sports.

Make a list of the students' names.

Count the total number of students.

Create a bar graph.

39

What is the main difference between a vertical bar graph and a horizontal bar graph?

The bars go up-and-down in a vertical graph, and left-to-right in a horizontal graph.

Horizontal graphs are used for weather data only.

Vertical graphs cannot show numbers larger than $10$.

Vertical graphs are always blue.

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Interpreting single and double bar graphs

Questions for: Interpreting single and double bar graphs

40

A bar graph shows the number of books read by four students in a month. The students are Amy, Ben, Chloe, and David. 

How many books did Ben read?

$12$

$6$

$8$

$10$

41

The same bar graph shows the number of books read by four students:

Who read the most books?

Amy

David

Ben

Chloe

42

The bar graph shows the number of books read by four students.

How many more books did David read than Chloe?

$4$ books

$6$ books

$16$ books

$2$ books

43

Using the same data.

What is the total number of books read by all four students?

$32$

$30$

$40$

$36$

44

A double bar graph shows the number of boys and girls in four school clubs.

How many girls are in the Science club?

$18$

$10$

$12$

$15$

45

Using the same double bar graph data:

In which club is the number of boys greater than the number of girls?

Science club

Sports club

Music club

Art club

46

Using the same double bar graph data.

How many students are in the Art club in total?

$15$

$10$

$25$

$5$

47

Using the same double bar graph data.

What is the difference between the total number of boys and the total number of girls across all four clubs?

$5$ students

$1$ student

$2$ students

$3$ students

48

A bar graph shows the favorite colors of a group of students. How many students chose Green and purple as their favorite color?

$28$

$34$

$32$

$19$

49

A double bar graph compares the number of adult and child tickets sold for a school play on Saturday and Sunday. The legend (or key) for the graph shows that solid blue bars represent Saturday sales and striped red bars represent Sunday sales. How would you find the number of adult tickets sold on Sunday?

Look at the height of the striped red bar in the 'Child' category.

Look at the height of the striped red bar in the 'Adult' category.

Look at the height of the solid blue bar in the 'Adult' category.

Add the heights of the blue and red bars in the 'Child' category.

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