4th Grade - Collect Data For A Survey

 
     
 
     
 
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4th
Graphs and Charts
Collect Data for a Survey
Formulate survey questions; systematically collect and represent data on a number line; and coordinate graphs, tables, and charts.
Understand how to develop survey questions and how to record and organize the data using tables, charts, and graphs (i.e. bar graphs, line plots, stem and leaf plots, tally charts, etc.).
 

Sample Problems

(1)

Use the tally chart to fill in the frequency table:

When Is Your Birthday?

Month

Votes

January

\\\

February

\\\\ \

March

\\

April

\\\\

May

\\\\ \\\

June

\

July

\\

August

\

September

\

October

\\\\ \\\

November

\\

December

\


When Is Your Birthday

Month

Frequency

Cumulative Frequency

January

(3)

( 3)

February

(6)

(9)

March

(2)

(11)

April

(4)

(15)

May

(8)

(23)

June

(1)

(24)

July

(2)

(26)

August

(1)

(27)

September

(1)

(28)

October

(8)

(36)

November

(2)

(38)

December

(1)

(39)

(2)

Use the cumulative frequency to determine the frequency:

How many people applied for the job?

Day

Frequency

(Number of Applicants)

Cumulative

Frequency

Monday

(10)

10

Tuesday

(7)

17

Wednesday

(6)

23

Thursday

(8)

31



(3)

Transfer the data to the line plot:


x

x x

x x x x

x x x x x

x x x x x x

--׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀---

0 1 2 3 4 5 6 7 8 9

Players

Each x represents the number of free throws made.


How many players made free throws?

Players

Number of free throws

0

(0)

1

(0)

2

(2)

3

(3)

4

(3)

5

(5)

6

(4)

7

8

9

(1)



(4)

Use the data to fill in the stem and leaf plot:

The playoff basketball scores for John Runny Middle School are: 46, 58, 64, 68, 59, 75, 69, 77, and 59.

Is there a mode for the data? ______ (yes, 59)


Stem

Leaves














(5)


What is the scale for the graph below? ________ (0-50)

What is the interval? ____ (10)


Learning Tips

(1)

Math vocabulary

Survey- a method of gathering information by asking questions


Frequency- the number of times an event or a response occurs


Cumulative frequency- the total amount of frequencies recorded


Range- the difference between the greatest and the least numbers in a set of data


Outlier- a value separated from the rest of the data


Scale- series of numbers placed a fixed distances on a graph


Interval- the difference between any two numbers on the scale of a graph

(2)

Tally Chart

A tally chart is used to show how often something happens. The grouping of the lines in 5s allows the person to determine the amount by looking at the data quickly.

Example:

What is your eye color?

Color

Blue

Green

Two-tone

Hazel

Brown

Tally

\\\\

\\\

\\

\\\\ \

\\\\ \\


You can easily determine the results of the survey.


Have your child practice making a tally chart with something that interests him/her. Such as, watch television and make a tally chart of how many times they show a commercial advertising for toys.






(3)

Types of charts and graphs

Tally Chart- a chart used to show how often something occurs (using tally marks)


What is your eye color?

Color

Blue

Green

Two-tone

Hazel

Brown

Tally

\\\\

\\\

\\

\\\\ \

\\\\ \\



Frequency Table- a table that uses numbers to record data about how often something happens

What is your eye color?

Color

Blue

Green

Two-tone

Hazel

Brown

Frequency

4

3

2

6

7

Cumulative

Frequency

4

7

9

15

22


Line Plot- A graph that shows the frequency of data along a number line

x

x x

x x x x

x x x x x

x x x x x x

--׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀---

0 1 2 3 4 5 6

Stem & Leaf Plot- A table that shows groups of data arranged by place value

  • Group the data by the tens digits

  • Order the tens digits in a column from least to greatest to form the stems

  • Write each ones digit to the right of the stem (from least to greatest)



Bar Graph- a way to show information that uses bars to stand for data

(4)

How to formulate survey questions

  • Make the questions clear, precise and simple

  • Keep the questions specific (not allowing for a wide range of answers)

  • Ask each person the question only once

  • Use tally marks to record each person’s response


Practice devising survey questions to make sure your child id following the correct format to use the survey questions and get the results desired. They can call family and friends to practice asking the survey questions and recoding the data.




(5)

Scale and intervals

The scale is the series of numbers placed at fix distances (similar to the range). The scale of the graph above is 0 – 8.


The interval is the difference between the numbers on the graph. The interval for the graph above is 2.


Cut out different types of graphs and have your child identify the scale and intervals for each one. They can compare and see how they change for different data being graphed. Thereafter, have them make a bar graph and determine their scale and intervals for their data.

Extra Help Problems

(1)

Use the tally chart to answer the question:

What is your hair color?

Color

Votes

Other

\\\

Black

\\\\ \

Blond

\\

Red

\\\\

Brown

\\\\ \\\


What is the most popular hair color? ________ (brown)

(2)

Use the tally chart to fill in the frequency table:


What is your hair color?

Color

Votes

Other

\\\

Black

\\\\ \

Blond

\\

Red

\\\\

Brown

\\\\ \\\



What is your hair color?

Color

Frequency

Cumulative Frequency

Other



Black



Blond



Red



Brown





(3)

Use the cumulative frequency to determine the frequency:

What do you eat for breakfast?

Breakfast

Frequency

Cumulative Frequency

Cereal


10

Fruit


19

Yogurt


21

Pancakes


27

Eggs


36

Oatmeal


39

(4)

Use the cumulative frequency to determine the tally chart:

What do you eat for breakfast?

Breakfast

Frequency

Cumulative Frequency

Cereal


10

Fruit


19

Yogurt


21

Pancakes


27

Eggs


36

Oatmeal


39




What do you eat for breakfast?

Breakfast

Votes

Cereal


Fruit


Yogurt


Pancakes


Eggs


Oatmeal


(5)


How many pets do you have?


x

x

x x x

x x x x x x

x x x x x x x

--׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀---

0 1 2 3 4 5 6 7 8 9

Number of Pets


What is the range of the data? _____ (6)

(6)

x

x

x x x

x x x x x x

x x x x x x x

--׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀---

0 1 2 3 4 5 6 7 8 9

Number of Pets

How many pets do most people have? _____ (1)

(7)

x

x

x x x

x x x x x x

x x x x x x x

--׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀--------׀---

0 1 2 3 4 5 6 7 8 9

Number of Pets


Is there an outlier in the data? ________ (no)





(8)

Age Group in Aerobics Class


Stem


Leaves

1

2

3

4








  1. 3 4 6

  1. 4 7 7 8

  2. 9 9

7 8 8 8

What is the mode for the data? _____ (48)


(9)

Age Group in Aerobics Class


Stem


Leaves

1

2

3

4








  1. 3 4 6

  1. 4 7 7 8

  2. 9 9

7 8 8

What is the range of the data? ______ (48- 14 = 34)


(10)



Stem


Leaves

1

2

3

4








  1. 3 4 6

  1. 4 7 7 8

  2. 9 9

7 8 8

Which category represents the tens place: ________ (Stems)

Which category represents the ones place _________ (Leaves)


(11)


Age-group in aerobics class


Stem


Leaves

1

2

3

4








  1. 3 4 6

  1. 4 7 7 8

  2. 9 9

7 8 8

What is the median for the data? ______ (27)


(12)

Why would you use a stem and leaf plot? __________

(to find the mode, range and median)

(13)

Why would you use a line plot? _________

(It helps to determine the range and outlier)

(14)

Why do you need the cumulative frequency recorded?

(It allows you to see the total amount of people that were surveyed)

(15)

Choose the right question for a survey:

  1. What is your name?

  2. What is your favorite movie?

  3. Which color do you like the best : red, yellow, green, blue, purple


(c)

(16)

Choose the right question for a survey:

(a) When is your birthday?

(b) What is the month for your birthday?

(c) Do you have fun on your birthday?


(b)

(17)

Choose the right question for a survey:

  1. How many years have you lived in your home?

  2. Do you like your house?

  3. Why do you live here?

(a)

(18)

Choose the right question for a survey:

(a)What is your favorite season?

(b) How do you feel in the winter?

(c) Why do you like the summer?


(a)

(19)

Choose the right question for a survey:

  1. Do you like animals?

  2. How many pets do you have?

  3. What are your pets’ names?


(b)

(20)


What is the scale? ______ (0-16)


(21)

What is the interval? ______ (2)

(22)


Interpret the data: How many books were read by:

Student 1: _____ (3)

Student 2: _____ (6)

Student 3: _____ (11)

Student 4: _____ (15)

Student 5: _____ (7)

Student 6: _____ (1)

(23)

Who read the most books ________ (Student 4)

(24)

Who read the least books __________ (Student 6)

(25)

What is the scale of books read: ________ (0-20)

What is the interval for the graph: ________ (5)

 

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