Choosing an Appropriate Display 7-7 Choosing an Appropriate Display Course 1 Warm Up Problem of the Day Lesson Presentation

Choosing an Appropriate Display Course 1 7-7 Choosing an Appropriate Display Warm Up 1. = 2. = 3. = 4. = 1.5 x 7.5 35 x= 7 0.6 14 x 3.5 x= 0.15 8 x 3 4.2 x= 11.2 5.2 2.6 2 x x= 1

Choosing an Appropriate Display Course 1 7-7 Choosing an Appropriate Display Problem of the Day The sum of four consecutive integers is 182. What are the four numbers? 44, 45, 46, and 47

Choosing an Appropriate Display Course 1 7-7 Choosing an Appropriate Display Learn to select and use appropriate representations for displaying data.

Choosing an Appropriate Display Course 1 7-7 Choosing an Appropriate Display 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. Use a bar graph to display and compare data. 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.

Choosing an Appropriate Display Course 1 7-7 Choosing an Appropriate Display Use a circle graph to show how a set of data is divided into parts. 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.

Additional Example 1A: Choosing an Appropriate Display Course 1 7-7 Choosing an Appropriate Display Additional Example 1A: Choosing an Appropriate Display Butterfly Family Number of Species Gossamer-wing 7 Skippers 10 Swallowtails 5 Whites and sulphurs 4 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. Circle graph; each listed species is a part of the whole population.

Additional Example 1B: Choosing an Appropriate Display Course 1 7-7 Choosing an Appropriate Display Additional Example 1B: Choosing an Appropriate Display Butterfly Family Number of Species Gossamer-wing 7 Skippers 10 Swallowtails 5 Whites and sulphurs 4 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. Venn diagram; it shows butterflies cannot be two species.

Number of Species in the Garden Course 1 7-7 Choosing an Appropriate Display Check It Out: Example 1A Rose Family Number of Species in the Garden English 23 Hybrid Teas 13 Standard Tree 14 Miniature 2 The students want to create a display to show the total number of roses in the garden and see which ones occurred more frequently. Line plot; it would display the total number of roses and allow the students to see the frequency.

Number of Species in the Garden Course 1 7-7 Choosing an Appropriate Display Check It Out: Example 1B Rose Family Number of Species in the Garden English 23 Hybrid Teas 13 Standard Tree 14 Miniature 2 The students want to create a display to show the number of English Roses in the garden compared to the total percentage of roses. Circle Graph; it would display each species of roses in the garden as a percentage of the whole population.

Additional Example 2: Identifying the Most Appropriate Display Course 1 7-7 Choosing an Appropriate Display Additional Example 2: Identifying the Most 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.

Additional Example 2A: Identifying the Most Appropriate Display Course 1 7-7 Choosing an Appropriate Display Additional Example 2A: Identifying the Most Appropriate Display Months Visitors May 432 June 657 July 856 August 723 Circle Graph A circle graph shows how a set of data is divided into parts. The circle graph does not accurately display the number of visitors per month, so it is not appropriate in representing the data.

Additional Example 2B: Identifying the Most Appropriate Display Course 1 7-7 Choosing an Appropriate Display Additional Example 2B: Identifying the Most Appropriate Display Months Visitors May 432 June 657 July 856 August 723 Bar Graph A bar graph displays and compares data. The bar graph appropriately displays and compares the data and the number of visitors during each month.

Additional Example 2C: Identifying the Most Appropriate Display Course 1 7-7 Choosing an Appropriate Display Additional Example 2C: Identifying the Most Appropriate Display Months Visitors May 432 June 657 July 856 August 723 Line Plot A line plot shows the frequency of values. May June July Aug X X X X 100 200 300 400 500 600 700 800 900 1000 There are only four data values to display, so it does not appropriately display the frequency in which visitors visit the park.

Additional Example 2D: Identifying the Most Appropriate Display Course 1 7-7 Choosing an Appropriate Display Additional Example 2D: Identifying the Most Appropriate Display Months Visitors May 432 June 657 July 856 August 723 Line Graph A line graph shows how data changes over time. The line graph appropriately displays and compares the data and the number of visitors during each month.

Choosing an Appropriate Display Course 1 7-7 Choosing an Appropriate Display 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.

Choosing an Appropriate Display Course 1 7-7 Choosing an Appropriate Display Check It Out: Example 2A Animal Weight (lbs) Koala 17 Chimpanzee 80 Sumatran Tiger 210 Large Gorilla 420 Line Graph A line graph shows how data changes over time. The line graph does not appropriately display and compare the different animals weight.

Choosing an Appropriate Display Course 1 7-7 Choosing an Appropriate Display Check It Out: Example 2B Animal Weight (lbs) Koala 17 Chimpanzee 80 Sumatran Tiger 210 Large Gorilla 420 Stem-and-Leaf Plot Stems Leaves 1 7 8 0 21 0 42 0 A stem-and-leaf plot shows how often data values occur and how they are distributed. There are only 4 data values, and how often they occur and how they are distributed are not important.

Choosing an Appropriate Display Course 1 7-7 Choosing an Appropriate Display Check It Out: Example 2C Animal Weight (lbs) Koala 17 Chimpanzee 80 Sumatran Tiger 210 Large Gorilla 420 Circle Graph A circle graph shows how a set of data is divided into parts. A circle graph appropriately shows the proportionate amount of weight compared to the total weight of all the animals.

Choosing an Appropriate Display Course 1 7-7 Choosing an Appropriate Display Check It Out: Example 2D Animal Weight (lbs) Koala 17 Chimpanzee 80 Sumatran Tiger 210 Large Gorilla 420 D. Bar Graph A bar graph displays and compares data. The bar graph appropriately displays and compares the weight of each animal.

Choosing an Appropriate Display Insert Lesson Title Here Course 1 7-7 Choosing an Appropriate Display Insert Lesson Title Here Lesson Quiz: Part I For each description of the data set, tell what type of display would be most appropriate. 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 graph Line plot

Choosing an Appropriate Display Insert Lesson Title Here Course 1 7-7 Choosing an Appropriate Display Insert Lesson Title Here 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. Circle graph Bar Graph