+ Probability January 08, 2013. + Riddle Me This.. The more you have of it, the less you see. What is it? darkness.

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Probability

January 08, 2013

+Riddle Me This..

The more you have of it, the less you see. What is it?

darkness

+Kick Off

Evaluate the expression using the correct order of operations.

5 + 32 / 3 - 7 1

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Learn to select and use appropriate representations for displaying data.

Choosing an Appropriate Display

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Use a bar graph to display and compare data.

There are several ways to display data. Some types of displays are more appropriate than others, depending on how the data is to be analyzed.

x x x x x x

Use a line plot to show the frequency of values.

1 7 9 2 5 3 6 1

Use a stem-and-leaf plot to show how often data values occur and how they are distributed.


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Use a line graph to show how data change over a time period.

Use a Venn Diagram to show relationships between two or more data sets.

Use a circle graph to show how a set of data is divided into parts.


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Additional Example 1A: Choosing anAppropriate Display

The students want to create a display to show each species of butterfly as a percentage of all species in the butterfly family. Which type of graph would they use? Explain.

Butterfly Family Number of Species

Gossamer-wing 7

Skippers 10

Swallowtails 5

Whites and sulphurs 4

Circle graph; each listed species is a part of the whole population.


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Additional Example 1B: Choosing anAppropriate Display

The students want to create a display to show the relationship between the species of butterflies in the park. Choose the type of graph that would best represent this data.

Butterfly Family Number of Species

Gossamer-wing 7

Skippers 10

Swallowtails 5

Whites and sulphurs 4

Venn diagram; it shows butterflies cannot be two species.


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Check It Out: Example 1A

The students want to create a display to show the total number of roses in the garden and see which ones occurred more frequently.

Rose Family Number of Species in the Garden

English 23

Hybrid Teas 13

Standard Tree 14

Miniature 2

Line plot; it would display the total number of roses and allow the students to see the frequency.


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Check It Out: Example 1B

The students want to create a display to show the number of English Roses in the garden compared to the total percentage of roses.

Rose Family Number of Species in the Garden

English 23

Hybrid Teas 13

Standard Tree 14

Miniature 2

Circle Graph; it would display each species of roses in the garden as a percentage of the whole population.


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Additional Example 2: Identifying theMost Appropriate Display

The table shows the number of visitors to the butterfly park during a four month period.

Months Visitors

May 432

June 657

July 856

August 723

Explain why each kind of display would or would not appropriately represent the data.


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Additional Example 2A: Identifying theMost Appropriate Display

Circle GraphMonths Visitors

May 432

June 657

July 856

August 723

The circle graph does not accurately display the number of visitors per month, so it is not appropriate in representing the data.

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


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Additional Example 2B: Identifying theMost Appropriate Display

Bar Graph

Months Visitors

May 432

June 657

July 856

August 723

The bar graph appropriately displays and compares the data and the number of visitors during each month.

A bar graph displays and compares data.


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Additional Example 2C: Identifying theMost Appropriate Display

Line Plot

Months Visitors

May 432

June 657

July 856

August 723

There are only four data values to display, so it does not appropriately display the frequency in which visitors visit the park.

A line plot shows the frequency of values.

100 200 300 400 500 600 700 800 900 1000

X X X X

May June July Aug


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Additional Example 2D: Identifying theMost Appropriate Display

Line GraphMonths Visitors

May 432

June 657

July 856

August 723

The line graph appropriately displays and compares the data and the number of visitors during each month.

A line graph shows how data changes over time.


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Check It Out: Example 2

The table shows the weight of 4 animals at the Animal Sanctuary.

Animal Weight (lbs)

Koala 17

Chimpanzee 80

Sumatran Tiger 210

Male Gorilla 420

Explain why each kind of display would or would not appropriately represent the data.


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Check It Out: Example 2A

Line Graph

The line graph does not appropriately display and compare the different animals weight.

A line graph shows how data changes over time.

Animal Weight (lbs)

Koala 17

Chimpanzee 80

Sumatran Tiger 210

Large Gorilla 420


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Check It Out: Example 2B

There are only 4 data values, and how often they occur and how they are distributed are not important.

Stem-and-Leaf PlotAnimal Weight

(lbs)

Koala 17

Chimpanzee 80

Sumatran Tiger 210

Large Gorilla 420

Stems Leaves

1 7

8 021 042 0

A stem-and-leaf plot shows how often data values occur and how they are distributed.


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Check It Out: Example 2C

Circle Graph

A circle graph appropriately shows the proportionate amount of weight compared to the total weight of all the animals.

Animal Weight (lbs)

Koala 17

Chimpanzee 80

Sumatran Tiger 210

Large Gorilla 420

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


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Check It Out: Example 2D

D. Bar Graph

Koala

Chimp

Sumatran Tiger

Gorilla

050

100150200250300350400450

Koala Chimp SumatranTiger

Gorilla

Animal Weight (lbs)

Koala 17

Chimpanzee 80

Sumatran Tiger 210

Large Gorilla 420

The bar graph appropriately displays and compares the weight of each animal.

A bar graph displays and compares data.


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Lesson Quiz: Part I

1. The number of points scored per game by the basketball team during the season.

2. The number of books read by each student in third period English class.

Line plot

Line graph

Insert Lesson Title Here

For each description of the data set, tell what type of display would be most appropriate.


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Lesson Quiz: Part II

3. The percentage of the variety of cakes made by a bakery.

4. The number of magazine subscriptions sold by each member of the sales staff.

Insert Lesson Title Here

Circle graph

Bar Graph


+Choosing an Appropriate Display

Shakespeare vs. Harry Potter Task WRITE NAME ON PAPER Due Date: Monday, January 14th

Review Task Use dice for question 1 to determine which word to start on

HW: WB 7-7, page 64