U1L4 - Lecture Notes - Representing Data

​Lesson 4

Representing Data

Essential Questions

• Why are graphs created?

• How can graphs be interpreted?

Representing Data
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Graphing

• A graph is a visual display of data that makes trends easier to see than in
a table.

• A circle graph, or pie chart, has wedges that visually represent
percentages of a fixed whole.

Representing Data
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Multiple Choice

Which Continent is home to 13% of wild cats?

• Asia

• Africa

• North America

• South America

Multiple Choice

According to this graph, what is the most popular flavor of Jolly Rancher?

• Cherry

• Grape 

• Blue Rasberry

• Watermelon

Graphing

• Bar graphs are often used to show how a quantity varies across categories.

Representing Data
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Multiple Choice

How many total people took the survey?

• 50

• 150

• 100

• 200

Multiple Choice

How many students voted for their favorite sport?

• 38

• 17

• 40

• 50

Graphing

• On line graphs, independent variables are plotted on the x-axis and
dependent variables are plotted on the y-axis.

Representing Data
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Multiple Choice

How much was a stamp in 1965?

• 3 cents

• 4 cents

• 5 cents

• 6 cents

Multiple Select

What years was the price $30.00?

• 2001

• 2002

• 2003

• 2004

Graphing

• If a line through the points is straight, the relationship is linear and can be
analyzed further by examining the slope.

Representing Data
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Multiple Choice

Which graph below shows a negative slope?

Multiple Choice

Which graph below shows a negative slope?

Multiple Choice

What is the slope between these two points (1, 2) and (3, -2)?

• 1/2

• -1/2

• 2

• -2

Multiple Choice

What is the slope between these two points (1, 2) and (-3, 0)?

• 1/2

• -1/2

• 2

• -2

Interpreting Graphs

• Interpolation is reading and estimating values falling between points on the
graph.

• Extrapolation is estimating values outside the points by extending the line.

• This graph shows important ozone measurements and helps the viewer
visualize a trend from two different time periods.

Representing Data
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Multiple Choice

Estimating a value inside a set of data is...

• Dependent variable

• Independent variable

• Interpolation

• Extrapolation

Multiple Choice

Estimating a value outside a set of data is...

• Dependent variable

• Independent variable

• Interpolation

• Extrapolation

Tracking Crime

Representing Data
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Go to your ConnectED resources to play Video: Tracking a Crime.