1. Choosing the Best Representation of Data 10-7 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. Choosing the Best Representation of Data 10-7 Warm Up 1. 6n – 10 = 44 2. 27 = 3 – 8n 3. 41 + 7x = –8 4. 14 = –6n – 16 n = 9 Solve. n = –3 n = –7 n = –5

3. Choosing the Best Representation of Data 10-7 Problem of the Day A data set has a range of 24 and a mean of 104. If the data set contains three numbers and the highest number is 118, then what are the other two numbers in the data set? 94 and 100

4. Choosing the Best Representation of Data 10-7 MA.8.S.3.1 Select, organize and construct appropriate data displays…to convey information and make conjectures about possible relationships. Sunshine State Standards

5. Choosing the Best Representation of Data 10-7 Data can be represented in several different ways, depending both on the type of data and the message to be conveyed.

6. Choosing the Best Representation of Data 10-7 Additional Example 1A: Selecting a Data Display Which graph is a better display of the data on temperature changes? The line graph shows the change in data over time, so it is the better representation. 40 50 60 70 80

7. Choosing the Best Representation of Data 10-7 Additional Example 1B: Selecting a Data Display Which graph better shows the relationship between the two data sets? The scatter plot shows the relationship of two sets of data, so it is the better representation.

8. Choosing the Best Representation of Data 10-7 Check It Out: Example 1 Which graph is a better display of Macarena’s height? Since Macarena’s height changes over time, the line graph is a better representation than the bar graph.

9. Choosing the Best Representation of Data 10-7 The Singer family keeps the budget shown below for their monthly expenses. Choose an appropriate data display and draw the graph. Which two categories account for one-fifth of their budget? Groceries$400 Utilities$350 Mortgage$850 Clothing$200 Entertainment$100 Auto$500 Savings$500 Misc.$120 Additional Example 2: Problem Solving Application

10. Choosing the Best Representation of Data 10-7 Additional Example 2 Continued 1 Understand the Problem You are looking for the best data display and the two categories that take up one- fifth of the Singer family budget. You need to find one-fifth of the whole amount of the budget. Since the data can be organized as a whole, display it in a circle graph. 2 Make a Plan

11. Choosing the Best Representation of Data 10-7 Additional Example 2 Continued Create a circle graph. For each category calculate the percentage spent. Solve 3 The 2 categories that add up to one-fifth or 20% of the Singer’s budget are auto and entertainment.

12. Choosing the Best Representation of Data 10-7 Additional Example 2 Continued Look at the table. Entertainment has a budget of $100 and Auto has a budget of $500. So, $600 of the total budget of $3,020, is approximately 20%. The answer is reasonable. Look Back 4

13. Choosing the Best Representation of Data 10-7 Choose an appropriate data display for each situation. Justify your choice. how Benetta spent her time one day Check It Out: Example 2A Possible answer: circle graph, so that you could compare the parts to the whole

14. Choosing the Best Representation of Data 10-7 Check It Out: Example 2B Possible answer: line graph, so that you can see how data changed over time Choose an appropriate data display for each situation. Justify your choice. the price of Carlos’s stock over one week

15. Choosing the Best Representation of Data 10-7 Possible answer: box-and-whisker plot, so that you can show the distribution of data Check It Out: Example 2C Choose an appropriate data display for each situation. Justify your choice. how many CDs a group of students owns

16. Choosing the Best Representation of Data 10-7 Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

17. Choosing the Best Representation of Data 10-7 Lesson Quiz: Part I box-and-whisker plot 1. Which is a better display of the number of miles ran by members of the track team during one week: a box-and-whisker plot or a scatter plot?

18. Choosing the Best Representation of Data 10-7 Lesson Quiz: Part II 2. The number of boys and girls enrolled in a middle school is shown in the table. Choose an appropriate display for these data and draw the graph. What percent of the students at the middle school are boys? GradeGirlsBoys 6140117 7133145 8130115

19. Choosing the Best Representation of Data 10-7 Lesson Quiz: Part II Continued  48.3%

20. Choosing the Best Representation of Data 10-7 1. Which of the following is a better display of a class’s test scores? A. scatter plot B. histogram C. circle graph D. box-and-whisker plot Lesson Quiz for Student Response Systems

21. Choosing the Best Representation of Data 10-7 2. The diameters of four planets are shown in the table. Identify an appropriate display for this data and the graph that represents the data. Identify the planet that has the second largest diameter. A. VenusB. Venus Lesson Quiz for Student Response Systems