1. Organizing Data 10-1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. Organizing Data 10-1 Warm Up Compare. Write. 1. 3(6) 15 2. 53 – 37 19 3. 27 2(14) 4. 49 – (–4) 51 < > < >

3. Organizing Data 10-1 Problem of the Day If today is Wednesday, what day of the week will it be in 100 days? Friday

4. Organizing Data 10-1 Prep for MA.8.S.3.1 …Organize and construct appropriate data displays…to convey information and make conjectures about possible relationships. Review MA.7.S.6.2 Sunshine State Standards

5. Organizing Data 10-1 Vocabulary line plot stem-and-leaf plot back-to-back stem-and-leaf plot Venn diagram

6. Organizing Data 10-1 Organizing raw data can help you see patterns and trends. One way to organize data is to use a line plot. A line plot uses a number line to show how often a value occurs in a data set.

7. Organizing Data 10-1 Additional Example 1: Organizing Data in Line Plots Use a line plot to organize the math exam scores. Find the least value, 50, and the greatest value, 100, in the data set. Then draw a number line from 50 to 100. Place an “x” above each number on the number line for each time it appears in the data set. Student Test Scores 100957580 601006075 908580100 50906580

8. Organizing Data 10-1 Additional Example 1 Continued Use a line plot to organize the math exam scores. There are 16 numbers in the data set and 16 x’s above the number line. Student Test Scores 100957580 601006075 908580100 50906580 50 55 60 65 70 75 80 85 90 95 100 x x x x x xxxxxx x x xxxxxx

9. Organizing Data 10-1 Check It Out: Example 1 Use a line plot to organize the feet of snow each season. Find the least value, 1, and the greatest value, 11, in the data set. Then draw a number line from 1 to 11. Place an “x” above each number on the number line for each time it appears in the data set. Feet of Snow 41175 19510 7439 111076 59 11

10. Organizing Data 10-1 Check It Out: Example 1 Continued There are 20 numbers in the data set and 20 x’s above the number line. 1 2 3 4 5 6 7 8 9 10 11 x x x xxxxxx xxxxxx x xxxxxxxx x xxxxxx Feet of Snow 41175 1959 7439 1076 59 11 Use a line plot to organize the feet of snow each season.

11. Organizing Data 10-1 A stem-and-leaf plot is a graph used to organize and display data to compare frequencies. Each leaf on the plot represents the right-hand digit in a data value. Each stem represents the remaining left-hand digits. Stem = first digit(s) Leaf = last digit 2 5 = 25

12. Organizing Data 10-1 Additional Example 2: Reading Stem-and-Leaf Plots List the data values of the stem-and-leaf plot. 1 2 5 4 0 1 1 5 2 7 9 Key: 1 2 means 12 The data values are: 12, 15, 40, 41, 41, 52, 57, and 59.

13. Organizing Data 10-1 Check It Out: Example 2 List the data values of the stem-and-leaf plot. 2 3 6 3 7 8 9 4 2 5 6 Key: 2 3 means 23 The data values are: 23, 26, 37, 38, 39, 42, 45, and 46.

14. Organizing Data 10-1 A back-to-back stem-and-leaf plot can be used to compare two sets of data. The stems are in the center, and the left leaves are read in reverse.

15. Organizing Data 10-1 Additional Example 3: Organizing Data in Back-to-Back Stem-and-Leaf Plots Use the given data to make a back-to-back stem-and-leaf plot. 12341234 2000 1950 0 5 9 9 8 4 5 1 3 Key: | 2 | 9 means 29 8 | 1 | means 18 9

16. Organizing Data 10-1 Check It Out: Example 3 Use the given data to make a back-to-back stem-and-leaf plot. 0 8 1 0 2 6 6 2 3 4 Voting Statistics AgeVoted Did not Vote Millions 18 to 24 years818 25 to 34 years1621 35 to 44 years2420 45 to 54 years2314 55 to 64 years168 65 to 74 years125 75 years up105 Did not VoteVoted 8 5 5 8 4 1 0 Key: | 0 | 8 means 8 4 | 1 | means 14

17. Organizing Data 10-1 Venn Diagrams are used to show relationships between sets.

18. Organizing Data 10-1 Additional Example 4: Organizing Data in Venn Diagrams Make a Venn diagram to show how many 8th grade students play soccer. Survey Results GradeSportGradeSport 6Baseball8Tennis 6 7Soccer 8 7Baseball 8 6Soccer 7 8

19. Organizing Data 10-1 Additional Example 4 Continued Make a Venn diagram to show how many 8th grade students play soccer. Draw two circles. Label one circle “8th Graders” and the other circle “Soccer Players”. The region that overlaps represents both 8th Graders and Soccer Players. 2 3 2 3

20. Organizing Data 10-1 Check It Out: Example 4 Make a Venn diagram to show how many 6th grade students participate in Band. Survey Results GradeActivityGradeActivity 6Band8Art 6 6Band 8 7 6Math Club6Band 7Art8Math Club

21. Organizing Data 10-1 Check It Out: Example 4 Continued Draw two circles. Label one circle “6th Graders” and the other circle “Band”. The region that overlaps represents both 6th Graders and Band Members. 2 2 Make a Venn diagram to show how many 6th grade students participate in Band. 3 3

22. Organizing Data 10-1 Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

23. Organizing Data 10-1 Lesson Quiz: Part I 1. Use a line plot to organize the data of daily rainfall during the month of June. Inches of Rainfall During June 0341000105 2100003301 1100445211 0 1 2 3 4 5 xxxxxxxxxxxxxxxxxxxxxxxx xxxxxxxxxxxxxxxx x xxxxxx xxxxxx x

24. Organizing Data 10-1 Lesson Quiz: Part II 2. List the data values in the stem-and-leaf plot. 0 6 9 1 4 7 2 2 5 Key: 1 5 means 15 6, 9, 14, 17, 22, 25

25. Organizing Data 10-1 Lesson Quiz: Part III 3. Make a Venn diagram to show how many voters under age 30 responded to the survey. Survey Results AgeRegistered to Vote AgeRegistered to Vote 18yes55yes 20no31no 47no43no 62yes25yes 29yes19no

26. Organizing Data 10-1 1. Identify a line plot to organize the data of the weights of students in a class. A. B. Lesson Quiz for Student Response Systems

27. Organizing Data 10-1 2. Identify the list of data values in the stem and leaf plot. A. 40, 90, 12, 22, 52, 62, 83, 13, 33 B. 4, 9, 21, 22, 25, 26, 31, 33, 33 C. 4, 9, 21, 21, 31, 33, 52, 62, 83 D. 1, 1, 2, 3, 4, 5, 6, 8, 9 Lesson Quiz for Student Response Systems

28. Organizing Data 10-1 3. Identify a Venn diagram to show how many students in the sixth grade belong to both cultural and sports team. A. B. Lesson Quiz for Student Response Systems