Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Learn to select and use appropriate representations for displaying data.

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

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.

Additional Example 1A: Choosing an Appropriate 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 FamilyNumber of Species Gossamer-wing7 Skippers10 Swallowtails5 Whites and sulphurs4 Circle graph; each listed species is a part of the whole population.

Additional Example 1B: Choosing an Appropriate 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 FamilyNumber of Species Gossamer-wing7 Skippers10 Swallowtails5 Whites and sulphurs4 Venn diagram; it shows butterflies cannot be two species.

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 FamilyNumber of Species in the Garden English23 Hybrid Teas13 Standard Tree14 Miniature2 Line plot; it would display the total number of roses and allow the students to see the frequency.

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 FamilyNumber of Species in the Garden English23 Hybrid Teas13 Standard Tree14 Miniature2 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 The table shows the number of visitors to the butterfly park during a four month period. MonthsVisitors May432 June657 July856 August723 Explain why each kind of display would or would not appropriately represent the data.

Additional Example 2A: Identifying the Most Appropriate Display Circle Graph MonthsVisitors May432 June657 July856 August723 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.

Additional Example 2B: Identifying the Most Appropriate Display Bar Graph MonthsVisitors May432 June657 July856 August723 The bar graph appropriately displays and compares the data and the number of visitors during each month. A bar graph displays and compares data.

Additional Example 2C: Identifying the Most Appropriate Display Line Plot MonthsVisitors May432 June657 July856 August723 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 X X X X May June July Aug

Additional Example 2D: Identifying the Most Appropriate Display Line Graph MonthsVisitors May432 June657 July856 August723 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.

Check It Out: Example 2 The table shows the weight of 4 animals at the Animal Sanctuary. AnimalWeight (lbs) Koala17 Chimpanzee80 Sumatran Tiger210 Male Gorilla420 Explain why each kind of display would or would not appropriately represent the data.

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. AnimalWeight (lbs) Koala17 Chimpanzee80 Sumatran Tiger210 Large Gorilla420

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 Plot AnimalWeight (lbs) Koala17 Chimpanzee80 Sumatran Tiger210 Large Gorilla420 Stems Leaves A stem-and-leaf plot shows how often data values occur and how they are distributed.

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. AnimalWeight (lbs) Koala17 Chimpanzee80 Sumatran Tiger210 Large Gorilla420 A circle graph shows how a set of data is divided into parts.

Check It Out: Example 2D D. Bar Graph AnimalWeight (lbs) Koala17 Chimpanzee80 Sumatran Tiger210 Large Gorilla420 The bar graph appropriately displays and compares the weight of each animal. A bar graph displays and compares data.

Demonstration of learning 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. Insert Lesson Title Here For each description of the data set, tell what type of display would be most appropriate.

Demonstration of Learning 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