1. Course 3 9-8 Choosing the Best Representation of Data 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

2. Course 3 9-8 Choosing the Best Representation of Data 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

3. Course 3 9-8 Choosing the Best Representation of Data Learn to select the best representation for a set of data. TB P. 500-503

4. Course 3 9-8 Choosing the Best Representation of Data Data can be represented in several different ways, depending on the type of data and the message to be conveyed. Type of GraphCommon Use Line graphShows change in data over time. Bar graphShows relationships or comparisons between groups. Circle graphCompares parts to a whole. HistogramShows the frequency of data divided into equal parts. Box-and-whisker plotShows the distribution and spread of data. Line plotShows the distribution of data. Scatter plotShows the relationship of two data sets.

5. Course 3 9-8 Choosing the Best Representation of Data Which graph is a better display of the data of temperature? The line graph shows the change in data over time, so it is the better representation. 40 50 60 70 80

6. Course 3 9-8 Choosing the Best Representation of Data Which graph better shows the relationship between the two data set? The scatter plot shows the relationship of two sets of data, so it is the better representation. 1 2 3 4 5 6 7 8 9 10 11 12 x xxx x x

7. Course 3 9-8 Choosing the Best Representation of Data Which graph is a better display of the number of students who own a dog, versus a snake? The bar graph shows a relationship or comparison between groups, so it is the better representation.

8. Course 3 9-8 Choosing the Best Representation of Data Which graph is a better display of Macarena’s height? The line graph shows the change in data over time, so it is the better representation.

9. Course 3 9-8 Choosing the Best Representation of Data 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 Problem Solving Application

10. Course 3 9-8 Choosing the Best Representation of Data 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. Course 3 9-8 Choosing the Best Representation of Data Create a circle graph. Solve 3 The 2 categories that add up to one-fifth or 20% of the Singer’s budget are auto and entertainment. Could also be savings and entertainment.

12. Course 3 9-8 Choosing the Best Representation of Data 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. Course 3 9-8 Choosing the Best Representation of Data 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?

14. Course 3 9-8 Choosing the Best Representation of Data 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 this data and draw the graph. What percent of the students at the middle school are boys? GradeGirlsBoys 6140117 7133145 8130115

15. Course 3 9-8 Choosing the Best Representation of Data Lesson Quiz: Part II Continued 48.3%