Solving Problems Involving Bar Graphs

Solving Problems Involving Bar Graphs

How can you use proportional reasoning to solve problems involving bar graphs of data?

Introduction

A graph drawn using rectangular
bars to show how large each
value is.

The bars can be horizontal or
vertical.

4

5

6

1

4

Number of people are 4 +5 +6 +1 +4 = 20

Percent for comedy is

Journal

Solving problems involving Bar graphs.

Dress Percent :

Blouse Percent:

Jeans Percent :

Shoes Percent :

Sweater Percent
:
Coat Percent :

Three boys and three girls ran for 7th grade class president. The boys are Andrew, Derrick, and Miguel. The girls are Becky, Dora, and Trisha. The results of the election are shown in the bar graph. Which is greater — the percent of total votes for boys that Derrick received, or the percent of total votes for girls that Dora received?

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Let's Try It Out!

Multiple Choice

A school held a fundraiser for their recycling program. Three teams (baseball, soccer, and volleyball) and three clubs (science, math, and ecology) collected money. The results of the fundraiser are shown in the bar graph. Which is greater, the percent of money collected by teams by the baseball team or the percent of money collected by clubs by the science club?

• science club

• volleyball team

• baseball team

F.  The number of premium memberships sold during Week 4 was 75% more than 

     the number of premium memberships sold during Week 1.

G. The total number of memberships sold during Week 1 was equal to the 

      total number of memberships sold during  Week 2.

H. The number of premium memberships sold during Week 3 was 2 times the 

     number of premium memberships sold during Week 2.

J.  The total number of memberships sold during Week 4 was 35 less than the 

      total number of memberships sold during Week 3.

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A club sold standard and premium memberships. The graph shows the number of each type of membership sold over the last four weeks.

Which statement is supported by the information in the graph?

Multiple Choice

The bar graph shows a company's income and expenses over the last 5 years.

Which statement is supported by the information in the graph?

• Expenses have increases $200,000 each year over the last 5 years.

• The income in Year 5 was twice the income in Year 1.

• The combined income in Years 1, 2, and 3 are equal to the combined expenses in Years 1, 2, and 3.

• The combined expenses in Years 3 and 4 were $300,000 more than combined income in Years 3 and 4.

Multiple Select

The graph shows the favorite colors chosen by some middle school students.

Which statement is supported by the information in the graph? Select all that apply.

• Fewer than 30% of students chose red, yellow, or orange as

       their favorite color.

• Less than 1/10  choose pink as their favorite color.

• More than half of the students chose Black, Red, Blue, and 

      Orange as their favorite color.

• Exactly ⅖ of the students chose green, black, or purple as 

                their favorite color.

• Exactly 18% of the students chose blue as their favorite 

      color.

Multiple Choice

Maribel surveyed 55 people to find out their favorite types of music. The results are shown in the bar graph below.

Based on the information in the graph, which types of music were chosen by the 40% of the people surveyed?

• Country and opera

• Jazz and opera

• Jazz, opera, and rock

• Country, jazz, and rock

Multiple Choice

The bar graph shows the number of student members in school clubs. Which club has twice as many student members as the robotics club?

•  Art club

• French Club

• Astronomy club

• Chess Club

Multiple Choice

  The bar graph displays the number of vegetable plants in a garden. 

   

Based on the information in the graph, which plants are 56% of the vegetables in the garden?

• Carrots and tomatoes

• Onions and tomatoes

• Peas, onions, and tomatoes

• Peas, spinach, and onions