Analyzing Data Displays10-5

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes

Analyzing Data Displays10-5

Warm UpFind the percent of each number.

1. 20% of 430

2. 48% of 250

3. 15% of 78

4. 72% of 260

86

120

11.7

187.2

Analyzing Data Displays10-5

Problem of the Day

A sweater originally priced at $30.00 was marked down 10%. The sale price was then reduced 15%. Sales tax is 8% of the final price. To the nearest cent, what is the final price of the sweater, including sales tax?$24.79

Analyzing Data Displays10-5

MA.8.S.3.1 …Organize…appropriate data displays…to convey information and make conjectures about possible relationships.

Sunshine State Standards

Analyzing Data Displays10-5

It is important that you can read and understand various types of graphs. When analyzing data displays, be sure to read any titles or labels and pay attention to the scales used on the axes.

Analyzing Data Displays10-5

Use the histogram to answer each question.

Additional Example 1: Analyzing Histograms

A. How many people ages 70 or older had a net worth of at least $4.5 billion?

65

Add the number of people in the 70-79, 80-89, and 90-99 intervals.

Analyzing Data Displays10-5

Additional Example 1: Analyzing Histograms

99 – 30 = 69

Use the histogram to answer each question.

B. What is the approximate range of the ages of the billionaires shown in the histogram?

Subtract the youngest age from the oldest age.

The approximate range of ages is 69 years.

Analyzing Data Displays10-5

Use the histogram in Example 1. How many people between the ages 50 and 69 had a net worth of at least $4.5 billion?

Check It Out: Example 1

34 + 43 = 77

Of the people between the ages of 50 and 69, 77 had a net worth of at least $4.5 billion.

Analyzing Data Displays10-5

A circle graph shows how a set of data is divided into parts.

The entire circle contains 100% of the data.

Each sector represents one part of the data set.

Analyzing Data Displays10-5

In one year, people in the U.S. purchased approximately 16.6 million bicycles. The circle graph shows the types of bicycles purchased. Use the circle graph to answer each question.

Additional Example 2A: Analyzing Circle Graphs

How many of the bicycles purchased were hybrid bikes?

9% of 16,600,000 = 0.09 16,600,000= 1,494,000

Of the bicycles purchased, about 1.5 million were hybrids.

Analyzing Data Displays10-5

Additional Example 2B: Analyzing Circle Graphs

For the year shown, a reporter claims that consumers purchased a total of nearly 10 million mountain bikes and youth bikes. Is the claim valid? Explain.

63% of 16,600,000 = 0.63 16,600,000

= 10,458,000Of the bicycles purchased, about 10.5 million were mountain and youth bikes.

Analyzing Data Displays10-5

Check It Out: Example 2

Use the circle graph in Example 2. How many of the 16.6 million bicycles purchased were not comfort bikes?

100 – 21 = 79% of the bikes purchased were not comfort bikes.

79% of 16.6 million = 0.79(16.6) ≈ 13About 13 million of the bikes purchased were not comfort bikes.

Analyzing Data Displays10-5

Use the line graph to answer the question.

Additional Example 3: Analyzing a Line Graph

If the cost of the dance increased at the same rate between 2003 and 2004 as it did between 2004 and 2005, what was the cost of the dance in 2003?

$3000 – $2900 = $100

$2900 – $100 = $2800

The cost of the dance in 2003 was $2800.

Find the difference in costs between 2005 and 2004.Subtract the difference from 2004.

Analyzing Data Displays10-5

Check It Out: Example 3

Use the line graph from Example 3. If the cost of the dance continues to increase at the same rate as it did between 2008 and 2009, what will be the cost in 2012?

The difference between the cost in 2009 and in 2008 is $3700 – $3400 = $300.

2012 is 3 years later than 2009.

If the cost goes up that same rate each year from 2009 to 2012, then the cost of the dance in 2012 will be $3700 + 3($300) = $3700 + $900 = $4600.

Analyzing Data Displays10-5

Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems

Analyzing Data Displays10-5Lesson Quiz

The circle graph shows a school’s athletic budget based on total funds of $750,000.

$240,000

$105,000

1. How much money does the school spend on football?

2. How much money does the school spend on basketball than volleyball?

3. A reporter claims that the school spends more than 2/3 of its athletic budget on football and basketball combined. Is the claim valid? Explain. No; 62% is less than 2/3.

Analyzing Data Displays10-5

1. What was the approximate population of Florida in 1970?

A. 5 million

B. 5.5 million

C. 7 million

D. 7.5 million

Lesson Quiz for Student Response Systems

Analyzing Data Displays10-5

2. Of the 30 people surveyed, how many open both dogs and cats?

A. 3

B. 6

C. 9

D. 10

Lesson Quiz for Student Response Systems

Analyzing Data Displays10-5

3. How much did the population increase from 1960 to 2000?

A. 5 million

B. 10 million

C. 15 million

D. 20 million

Lesson Quiz for Student Response Systems