CONFIDENTIAL1 Good Afternoon! Today we will be learning about Double Bar Graphs Let’s warm up : 1) Judy has made 7 T-shirts. Each day she makes another.

CONFIDENTIAL 1

Good Afternoon!Today we will be learning about

Double Bar Graphs

Let’s warm up :

1) Judy has made 7 T-shirts. Each day she makes another 4 T-shirts. Harry has made 11

T-shirts and makes another 3 T-shirts everyday. How many T-shirts total will Judy

and Harry have made after six days?

2) Steve has read 5 books. Each week he reads 3 more books. Emily has read 6 books. Each week she 2 more. How many books will each have read when they have read a total

of 41 books?

1) 60 T-shirts

9) Steve 23 books; Emily 18 books

CONFIDENTIAL 2

Let’s review what we did in the last session

Survey: A survey is one way to collect information or data. When you conduct a survey, you ask a question and record

the answers.

The question for one class survey was, “What do you like to eat?”

The answer choices were Chicken nuggets, corn, French fries, salad and tuna

sandwich.

What do you like to eat?

Answer Tally Number

Chicken nuggets 13

Corn 7

French fries 6

salad 0

tuna sandwich 4

The answer choice nuggets was given more often.

CONFIDENTIAL 3

Review

To conduct a survey and organize your data keep in mind the following things.

Choose a topic for your survey to tell what the data shows.

Choose the questions that you will ask.

Show the answers on the table .

Organize the chart by making a tally mark for each answer.

Choose how many answers you will allow each person to give.

Keep track of the number of people you survey.

CONFIDENTIAL 4

Review

So, in general you should do the following steps :

STEP 1: Write a question that has 3 or 4 possible answers. List the possible answers in a tally chart like the one shown.

STEP 2: Survey 20 people. Allow each person to give only one answer. Make a tally mark for each answer. Then add the tally marks for each answer.

STEP 3: Analyze your data, i.e. how would describe the results of your survey.

Question:

Answer Tally Number

CONFIDENTIAL 5

ReviewTally: A tally chart is a way to show

the information or data you have collected.

Use the tally chart to answer the questions.How many children are in your family?

Answer Tally Number

1 2

2 13

3 8

4 2

More than 4 0

1) What is the survey question? [How many children are in your family?]

2) Which answer was given most often? Least often?[2 children; More than 4 children]

CONFIDENTIAL 6

Review

Mike has 4 baseball cards. Each week he gets 2 more cards. Fredrick has 3 baseball cards and

gets 1 more card each week. How many baseball cards will each have when they have a total of 19

baseball cards?Here is the table of information about the problem.

Mike’s cards Fredrick’s cards Total cards

4 3 7

6 4 10

8 5 13

10 6 16

12 7 19

Week1Week2

Week3

Week4

Week4

How many cards each boy had when the total card is 19.

Mike has 4 cards and Fredrick has 3 cards.

CONFIDENTIAL 7

Review

Make a table

Read each sentence and then paraphrase, which says the same thing in a different

way.

Original sentence Paraphrase

Art is twice bob’s age. Art’s age ÷ 2 = Bob’s ageOR, Bob’s age × 2 = Art’s age

Cal is half Dee’s age. Cal’s age × 2 = Dee’s age OR, Dee’s age ÷ 2 = Cal’s age

Each person is 3 inches taller than the next tallest person.

First person’s height + 3’ = Second person’s heightSecond person’s height + 3’ = Third person’s height

CONFIDENTIAL 8

Together, Herman’s age and his sister’s age equal 27. Herman’s sister’s age is twice

Herman’s age? How old is Herman? How old is his sister?

Herman’s age Sister’s age Total age

1 2 3

2 4 6

3 6 9

4 8 12

5 10 15

6 12 18

7 14 21

8 16 24

9 18 27

Here is the table of information about the problem.

Herman is 9 years old and his sister is 18 years old.

Review

CONFIDENTIAL 9

Let’s start withDouble Bar Graphs

Bar graphs are one of the many techniques used to present data in a visual form so that the

reader may readily recognize patterns or trends.

In the bar graphs, the objects or categories are listed along the horizontal axis and the associated

numerical value is indicated by the length of a bar above the category. Bar graphs usually present

categorical and numeric variables grouped in class intervals.

The important point to note about bar graphs is their bar length or height—the

greater their length or height, the greater their value.

CONFIDENTIAL 10

A bar graph can be used to display data that can be counted.

There are many characteristics of bar graphs that make them useful. Some of these are that:

They make comparisons between different variables very easy to see.

They clearly show trends in data, meaning that they show how one variable is affected as the other rises or falls.

Given one variable, the value of the other can be easily determined.

CONFIDENTIAL 11

Number of nights below freezing point

November December

January

Seattle, WA 2 7 7

Helena, MT 16 27 29

Table

Look at the table below. It has rows and columns of numbers.

The table shows the number of nights of two cities having temperature below freezing

point.With the help of the data we formulate a bar

graph comparing the two sets of data.

NEXT PAGE

CONFIDENTIAL 12

Seattle, WAHelena, MT

35302520151050

November December


Double Bar Graph

Labels

Title

Key

Interval

January

SeattleHelena

CONFIDENTIAL 13

Double bar graph

On a vertical bar graph, objects or categories are listed along a horizontal axis and the associated numerical value is indicated by the length of a bar above each

category.

The double (or group) vertical bar graph is an effective means of comparing sets of data

about the same places or items.

This type of vertical bar graph gives two or more pieces of information for each item on

the x-axis instead of just one .

CONFIDENTIAL 14

Susan saw many types of birds at her bird feeder. Mitch also saw many types

of birds at his bird feeder.

SusanMitch

20151050

Num

ber

of

bir

ds Birds at Susan's and Mitch’s feeders

Robin Sparrow Cardinal

By reading the graph, you can see:

Susan saw five more robins than Mitch. Mitch saw five more Sparrow than Susan. Mitch and Susan both saw five cardinals.

Types of birds

CONFIDENTIAL 15

MikeJen

35302520151050N

um

ber

of

pla

nts

Mike's and Jen’s garden

Carrots Lettuce Beans

Types of plants

Peas

Use the bar graph to answer the questions.

1) How many carrot plants did Mike have in his garden?

2) Did Mike or Jen have more bean plants?

NEXT PAGE1) 5 plants 2) Mike

CONFIDENTIAL 16

MikeJen

35302520151050N

um

ber

of

pla

nts

Mike's and Jen’s garden

Carrots Lettuce Beans

Types of plants

Peas

Use the bar graph to answer the questions.

3) How many pea plants did Mike and Jen have altogether?

4) All of Jen’s plants are shown on the graph. How many plants does Jen have in her garden altogether?

3) 30 pea plants 4) 60 plants

CONFIDENTIAL 17

A double bar graph can be used to compare two sets of data.

The steps for making and interpreting double bar graph are:

STEP 1: Choose a title and labels for the graph. Then choose colors for the key. The key shows what each bar stands for. Next, choose an interval. The difference between the two numbers on the scale is the interval.

STEP 2: Use the data from the table to make the graph.

STEP 3: Use the completed graph to compare the data.

CONFIDENTIAL 18

The table below shows the rainfall of two towns in three months.

Rainfall of two towns (in cm)

June July August

Seattle, WA 60 85 95

Helena, MT 30 47 60

Use the table to draw a double bar graph.

STEP 1:

Title of the graph : “Rainfall of two towns (in cm)”.

Labels for the graph : “June”, “July” and “August”.

key: “Red” for Seattle and Blue for “Helena”.

Interval : 0 - 15, 15 - 30,...................

CONFIDENTIAL 19


STEP 2:

SeattleHelena

1059075604530150

June July


August

Rain

fall

(in

cm

)

Months

Using the data from the table to make the

graph.

CONFIDENTIAL 20

Assessment

Arnold made a chart to show his sales for the two most popular items at his painting studio. The table below shows the sales for each item. Use the table to make a double bar graph. Then use

the graph to answer the questions.

Number of items sold

Item 2002 2003 2004

Portraits 60 70 70

Landscapes 60 65 75

1) What interval did you choose for graph? Explain your choice.

2) In which year were there more landscapes sold than portrait?

1) 10; all of the data is divisible by 10 or 5.

2) 2004.

CONFIDENTIAL 21

Number of items sold

Item 2002 2003 2004

Portraits 60 70 70

Landscapes 60 65 75

3) Which item did Arnold sell the same number of ii 2003 and 2004?

4) Which item showed a steady increase in sales for each year?

5) What is the total number of both items that Arnold sold for all 3 years?

6) In which year did Arnold sold fewer than 65 landscapes?

7) From the graph, would you expect that Arnold to sell more than or fewer than 75 landscapes in 2005? Explain.

3) Portraits

4) Landscapes.

5) 400.

6) 2002

7) more; there is an increase for each of the 3 years shown.

CONFIDENTIAL 22

8) Which could you show with a double bar graph?

A) The height of the world’s 7 tallest mountains.

B) The birthdays of all the student’s in a class.

C) The number of centimeters a corn plant and a tomato plant grew each week.

D) The number of inches of rainfall your hometown received each month.

8) C

CONFIDENTIAL 23

Double Bar Graphs

Bar graphs are one of the many techniques used to present data in a visual form so that the

reader may readily recognize patterns or trends.

In the bar graphs, the objects or categories are listed along the horizontal axis and the associated

numerical value is indicated by the length of a bar above the category. Bar graphs usually present

categorical and numeric variables grouped in class intervals.

The important point to note about bar graphs is their bar length or height—the

greater their length or height, the greater their value.

Very Good!Let's Review

CONFIDENTIAL 24

A bar graph can be used to display data that can be counted.

There are many characteristics of bar graphs that make them useful. Some of these are that:

They make comparisons between different variables very easy to see.

They clearly show trends in data, meaning that they show how one variable is affected as the other rises or falls.

Given one variable, the value of the other can be easily determined.

Review

CONFIDENTIAL 25


November December

January

Seattle, WA 2 7 7

Helena, MT 16 27 29

Table

Look at the table below. It has rows and columns of numbers.

The table shows the number of nights of two cities having temperature below freezing

point.With the help of the data we formulate a bar

graph comparing the two sets of data.

NEXT PAGE

Review

CONFIDENTIAL 26


35302520151050

November December


Double Bar Graph

Labels

Title

Key

Interval

January

SeattleHelena

Review

CONFIDENTIAL 27

Double bar graph

On a vertical bar graph, objects or categories are listed along a horizontal axis and the associated numerical value is indicated by the length of a bar above each

category.

The double (or group) vertical bar graph is an effective means of comparing sets of data

about the same places or items.

This type of vertical bar graph gives two or more pieces of information for each item on

the x-axis instead of just one .

Review

CONFIDENTIAL 28

Susan saw many types of birds at her bird feeder. Mitch also saw many types

of birds at his bird feeder.

SusanMitch

20151050

Num

ber

of

bir

ds Birds at Susan's and Mitch’s feeders

Robin Sparrow Cardinal

By reading the graph, you can see:

Susan saw five more robins than Mitch. Mitch saw five more Sparrow than Susan. Mitch and Susan both saw five cardinals.

Types of birds

CONFIDENTIAL 29

A double bar graph can be used to compare two sets of data.

The steps for making and interpreting double bar graph are:

STEP 1: Choose a title and labels for the graph. Then choose colors for the key. The key shows what each bar stands for. Next, choose an interval. The difference between the two numbers on the scale is the interval.

STEP 2: Use the data from the table to make the graph.

STEP 3: Use the completed graph to compare the data.

Review

CONFIDENTIAL 30

The table below shows the rainfall of two towns in three months.


June July August

Seattle, WA 60 85 95

Helena, MT 30 47 60

Use the table to draw a double bar graph.

STEP 1:

Title of the graph : “Rainfall of two towns (in cm)”.

Labels for the graph : “June”, “July” and “August”.

key: “Red” for Seattle and Blue for “Helena”.

Interval : 0 - 15, 15 - 30,...................

Review

CONFIDENTIAL 31


STEP 2:

SeattleHelena

1059075604530150

June July


August

Rain

fall

(in

cm

)

Months

Using the data from the table to make the

graph.

Review

CONFIDENTIAL 32

You have done a nice job.See you in the next session.

CONFIDENTIAL1 Good Afternoon! Today we will be learning about Double Bar Graphs Let’s warm up : 1) Judy has made 7 T-shirts. Each day she makes another.

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