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6-4 Bar Graphs

6th Grade Math HOMEWORK

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6-4 Bar Graphs

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Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Warm UpUse the following data set.45 55 58 63 63 37 76 46 34

1. What is the mean of the data?

2. What is the median of the data?

3. What is the mode of the data?

53

55

63

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6-4 Bar Graphs

Problem of the Day

The distance around the bases is 4 × 90 feet. How many runs does a baseball team need to score before the scoring base runners have covered a mile? (1 mile = 5,280 feet)

15 runs

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6-4 Bar Graphs

Learning Goal Assignment

Learn to display and analyze data in bar graphs.

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6-4 Bar Graphs

Vocabulary

bar graphdouble-bar graph

Insert Lesson Title Here

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6-4 Bar Graphs

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6-4 Bar Graphs

A bar graph can be used to display and compare data. A bar graph displays data with vertical or horizontal bars.

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6-4 Bar Graphs

Additional Example 1A: Reading a Bar Graph

Use the bar graph to answer each question.

A. Which biome in the graph has the lowest average summer temperature?

Find the lowest bar.

The coniferous forest has the least average summer temperature.

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6-4 Bar Graphs

Additional Example 1B: Reading a Bar Graph

Use the bar graph to answer each question.B. Which biomes in the

graph have an average summer temperature of 30C or greater?Find the bar or bars whose heights measure 30 or more than 30.

The grassland and the rain forest have average summer temperatures of 30C or greater.

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6-4 Bar Graphs

Try This: Example 1A

Use the bar graph to answer each question.

A. Which biome in the graph has the highest average summer temperature?

Find the highest bar.

The rain forest has the highest average summer temperature.

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6-4 Bar Graphs

Try This: Example 1B

Use the bar graph to answer each question.

B. Which biomes in the graph have an average summer temperature of 25C or greater?

Find the bar or bars whose heights measure 25 or more than 25.The deciduous forest, the grassland, and the rain forest have average summer temperatures of 25C or greater.

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6-4 Bar Graphs

Additional Example 2: Making a Bar Graph

Use the given data to make a bar graph.

Magazine Subscriptions Sold

Grade 6 Grade 7 Grade 8

258 597 374

Step 1:Find an appropriate scale and interval. The scale must include all of the data values. The interval separates the scale into equal parts.

Step 2:Use the data to determine the lengths of the bars. Draw bars of equal width. The bars cannot touch.

Step 3: Title the graph and label the axes.

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6-4 Bar Graphs

Try This: Example 2

Use the given data to make a bar graph.

Tickets Sold

Grade 6 Grade 7 Grade 8

310 215 285

Step 1:Find an appropriate scale and interval. The scale must include all of the data values. The interval separates the scale into equal parts.

Step 2:Use the data to determine the lengths of the bars. Draw bars of equal width. The bars cannot touch.

Step 3: Title the graph and label the axes.

Grade 6

Grade 7

Grade 8

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350Tickets Sold

Grade

Tic

kets

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6-4 Bar Graphs

A double-bar graph shows two sets of related data.

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6-4 Bar Graphs

Additional Example 3: Problem Solving Application

Make a double-bar graph to compare the data in the table.

Club Memberships

Club Art Music Science

Boys 12 6 16

Girls 8 14 4

11 Understand the Problem

You are asked to use a graph to compare the data given in the table. You will need to use all of the information given.

22 Make a PlanYou can make a double-bar graph to display the two sets of data.

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Additional Example 3 Continued

Solve33 Determine appropriate scales for both sets of data.

Use the data to determine the lengths of the bars. Draw bars of equal width. Bars should be in pairs. Use a different color for boy memberships and girl memberships. Title the graph and label both axes.

Include a key to show what each bar represents.

Look Back44You could make two separate graphs, one of boy memberships and one of girl memberships. However, it is easier to compare the two data sets when they are on the same graph.

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6-4 Bar GraphsTry This: Example 3

Make a double-bar graph to compare the data in the table.

Club Memberships

Club Band Chess Year Book

Boys 9 14 16

Girls 11 7 15

11 Understand the Problem

You are asked to use a graph to compare the data given in the table. You will need to use all of the information given.

22 Make a PlanYou can make a double-bar graph to display the two sets of data.

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6-4 Bar Graphs

Try This: Example 3 Continued

Solve33 Determine appropriate scales for both sets of data.

Use the data to determine the lengths of the bars. Draw bars of equal width. Bars should be in pairs. Use a different color for boy memberships and girl memberships. Title the graph and label both axes.

Include a key to show what each bar represents.

Look Back44You could make two separate graphs, one of boy memberships and one of girl memberships. However, it is easier to compare the two data sets when they are on the same graph.

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Chess Band Year Book

Boys

Girls

Club

Club Memberships

Mem

ber

ship

s

Lesson Quiz: Part 1

Use the bar graph to answer each question.

1. Which animal was least popular among students?

2. Which pet was more popular to twice as many students as rabbits were?

dog

bird

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Student Pet Survey

Lesson Quiz: Part 2

3. Make a bar graph of this data.

Insert Lesson Title Here

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6-4 Bar Graphs

Number of Daily Servings

Grains = 6

Fruit = 2

Meat = 2

Milk = 3

Vegetables = 3

Number of Daily Servings

01234567

Da

ily

Se

rvin

gs

Grains

Fruit

Meat

Milk

Vegetables