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Chapter 1 Representing Data. 1.1 Advantages and Disadvantages of Different Graphs 1.2 Misrepresenting Data 1.3 Critiquing Data Presentation. KEY WORDS. Interval (1.1)- Bar graph(1.1)-. Line Graph (1.1)-

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chapter 1 representing data

Chapter 1Representing Data

1.1 Advantages and Disadvantages of Different Graphs

1.2 Misrepresenting Data

1.3 Critiquing Data Presentation

KEY WORDS

Interval (1.1)- Bar graph(1.1)-

slide2

Line Graph (1.1)-

Circle Graph (1.1)-

Double Bar Graph (1.1)-

Double Line Graph (1.1)-

Pictograph (1.1)-

Trend (1.1 p.14)-

Distort (1.2)-

1 1 advantages and disadvantages of different graphs p 6
1.1 Advantages and Disadvantages of Different Graphs p.6

Objectives:

Students will be able to :

1 1 examples
1.1 Examples

Example 1: Compare Two Graphs

During one weekend, the owners of

Pascal’s Pizzeria recorded how they

received pizza orders and then presented

the data using a circle graph and a pictograph.

  • How many more pizzas were ordered by

phone than on the internet? Which graph

shows this more clearly? Explain

  • Almost half of the total number of orders came by phone. What graph shows this more clearly? Explain.
slide5

Which graph better shows the number of pizzas ordered by Internet? Justify your choice.

Would a line graph be a useful way to display the data? Explain why or why not.

What other type of graph could be used to display the data?

slide6

Example 2: Representing Data

During the 2005-2006 hockey season, the Edmonton Oilers advanced to the Stanley Cup finals. In regular season play, two of their top three players were Shawn Horcoff (born in Trail, BC) and Jarret Stoll (born in Melville, SK) Here are the statistics for their previous three regular seasons with the Oilers.

Use a double bar

graph to display

the data

slide7

b) Which player shows

the most improvement

in total points?

c) Total points are used to

assess a player’s worth.

Take a look at the number

of games Horcoff and Stoll

played. Is this a fair way to

assess a player’s worth?

d) Would two circle graphs be effective to display the data? Explain

1 1 key ideas
1.1 KEY IDEAS
  • Data can be presented using bar graphs, double bar graphs, circle graphs, line graphs, and pictographs.
  • Different graphs may provide different information and display certain types of data better.
  • ________ graphs
  • are best for
  • comparing data
  • across categories.
  • ________ graphs are best for comparing categories
  • to the whole using
  • percents. The sum of
  • the percents in a
  • ________ graph is
  • _______.
  • ____________ are best for comparing data that
  • can be easily counted
  • and represented using
  • symbols.
  • ____________ graphs are best for comparing
  • two sets of
  • data across
  • categories.
  • ___________ graphs are best for showing changes in data over time
1 2 misrepresenting data p 18
1.2 Misrepresenting Data p.18

Objectives:

Students will be able to :

1 2 examples
1.2 Examples

Example 1: Distorting the Scale

Matthew’s Math test scores are displayed on the bar graph.

  • According to the graph, what did

Matthew receive on each test?

  • From the graph, what appears to be

true about Matthew’s improvement

over the four test scores? What part of

the graph has been distorted to create

this impression?

  • How should the graph be drawn to represent Matthews progress more accurately?
  • What would be a more accurate

conclusion about his improvement?

slide11

Example 2: Distorting the Visuals

  • From the pictograph, which pet

seems to be the favourite?

Explain.

  • From the pictograph, does it seem that more students like cats or dogs? Explain.
  • How should the pictograph be redrawn to represent the data more accurately?
slide12

Example 3: Distorting the Size of the Bars

  • From Graph A, how many times more sales are there of desktops than laptops? Is this an accurate representation? Explain.
  • From Graph B, how many times more sales are there of desktops than laptops? How could Graph B be misleading?
1 2 key ideas
1.2 Key Ideas
  • Misleading graphs can cause people to misinterpret the data and draw ________ conclusions.
  • The format of a graph can be misleading. Misleading features include:

- Distorting the ____________ - Distorting the information by using ___________ of different __________.

1 3 critiquing data presentation p 28
1.3 Critiquing Data Presentation p.28

Objectives:

Students will be able to :

1 3 examples
1.3 Examples

Example 1: Critiquing a Graph

Bindi recorded the scores for two grade 8 classes that wrote the same test.

She decided to display the data on two circle graphs.

a) Why do you think Bindiused two circle graphs to display the data?

slide16

b) Are the graphs misleading?

c) State two conclusions that you can make based on the graphs.

d) Draw a double bar graph

to display the data.

e) List the advantages and

disadvantages of using a

double bar graph to display

the data.

slide17

1.3 KEY IDEAS

  • When critiquing a graph, it is important to consider sever factors:
    • Graph __________: Is the graph the best choice for displaying the data?
    • Graph __________: Is the graph designed in a way that represents the data accurately?
    • Graph _______________: Is the graph informative? Does the graph support a claim or an argument?