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9-2 Organizing Data Warm Up Problem of the Day Lesson Presentation Course 3 9-2 Organizing Data Warm Up Compare. Write < or >. 1. 3(6) > 15 2. 53 – 37 < 19 3. 27 < 2(14) 4. 49 – (–4) > 51 Course 3 9-2 Organizing Data Problem of the Day If today is Wednesday, what day of the week will it be in 100 days? Friday Course 3 9-2 Organizing Data Learn to organize data in tables and stem-and-leaf plots. Course 3 9-2 Organizing Insert Lesson Title Here Data Vocabulary line plot stem-and-leaf plot back-to-back stem-and-leaf plot Venn diagram Course 3 9-2 Organizing Data 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. Course 3 9-2 Organizing Data Additional Example 1: Organizing Data in Line Plots Use a line plot to organize the math exam scores. Student Test Scores 100 95 75 80 60 100 60 75 90 85 80 100 50 90 65 80 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. Course 3 9-2 Organizing Data Additional Example 1 Continued Use a line plot to organize the math exam scores. Student Test Scores 100 95 75 80 60 100 60 75 90 85 80 100 50 90 65 80 x 50 Course 3 55 x x x 60 65 70 x x x x x 75 80 x x x x x x x 85 90 95 100 There are 16 numbers in the data set and 16 x’s above the number line. 9-2 Organizing Data Check It Out: Example 1 Use a line plot to organize the feet of snow each season. Feet of Snow 4 11 7 5 1 9 5 10 7 4 3 9 11 10 7 6 5 9 10 11 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. Course 3 9-2 Organizing Data Check It Out: Example 1 Continued Use a line plot to organize the feet of snow each season. Feet of Snow 4 11 7 5 1 9 5 9 7 4 3 9 11 10 7 6 5 9 10 11 x 1 Course 3 2 x x x x x x x x x x 3 4 5 6 7 8 x x x x x x x x x 9 10 11 There are 20 numbers in the data set and 20 x’s above the number line. 9-2 Organizing Data A stem-and-leaf plot is another way to display data. The values are grouped so that all but the last digit is the same in each category. Stem = first digits(s) 2 5 = 25 Leaf = last digit Course 3 9-2 Organizing Data Additional Example 2: Reading Stem-and-Leaf Plots List the data values of the stem-and-leaf plot. 1 25 Key: 1 2 means 12 4 011 5 279 The data values are: 12, 15, 40, 41, 41, 52, 57, and 59. Course 3 9-2 Organizing Data Check It Out: Example 2 List the data values of the stem-and-leaf plot. 2 36 Key: 2 3 means 23 3 789 4 256 The data values are: 23, 26, 37, 38, 39, 42, 45, and 46. Course 3 9-2 Organizing Data A back-to-back stem-and-leaf plot is used to compare two sets of data. The stems are in the center, and the left leaves are read in reverse. Course 3 9-2 Organizing Data Additional Example 3: Organizing data in Back-toBack Stem-and-Leaf Plots Use the given data to make a back-to-back stem-and-leaf plot. 1950 48 5 1 3 Course 3 2000 1 0599 2 9 3 4 Key: | 2 | 9 means 29 8 | 1 | means 18 9-2 Organizing Data Check It Out: Example 3 Use the given data to make a back-to-back stem-and-leaf plot. Voting Statistics Voted Did not Vote Millions Millions 18 to 24 years 8 18 25 to 34 years 16 21 35 to 44 years 24 20 8 4 1 0 2 6 6 45 to 54 years 23 14 1 0 2 3 4 55 to 64 years 16 8 65 to 74 years 12 5 75 years up 10 5 Age Course 3 Did not Vote Voted 8 5 5 0 8 Key: | 0 | 8 means 8 4 | 1 | means 14 9-2 Organizing Data Venn Diagrams are used to show relationships between sets. Course 3 9-2 Organizing Data Additional Example 4: Organizing data in Venn Diagrams Make a Venn diagram to show how many 8th grade students play soccer. Grade Course 3 Survey Results Sport Grade Sport 6 6 8 8 Baseball Tennis Soccer Baseball 8 7 7 6 Tennis Soccer Baseball Soccer 7 soccer 8 soccer 9-2 Organizing Data 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. Course 3 8th Graders 4 2 5 Soccer Players 9-2 Organizing Data Check It Out: Example 4 Make a Venn diagram to show how many 6th grade students participate in Band. Grade Course 3 Survey Results Activity Grade Activity 6 6 8 6 Band Art Band Math Club 8 6 7 6 Art Band Band Band 7 Art 8 Math Club 9-2 Organizing Data Check It Out: Example 4 Continued Make a Venn diagram to show how many 6th grade students participate in Band. Draw two circles. Label one circle “6th Graders” and the other circle “Band”. The region that overlaps represents both 6th Graders and Band Members. Course 3 6th Graders 5 3 5 Band Members 9-2 Organizing Data Insert Lesson Title Here Lesson Quiz: Part I 1. Use a line plot to organize the data of daily rainfall during the month of June. Course 3 x x x x x x x x x x x x x x x x x x x x 0 1 Inches of Rainfall During June 0 3 4 1 0 0 0 1 0 5 2 1 0 0 0 0 3 3 0 1 1 1 0 0 4 4 5 2 1 1 x x x x x x x x x x 2 3 4 5 9-2 Organizing Data Insert Lesson Title Here Lesson Quiz: Part II 2. List the data values in the stem-and-leaf plot. 6, 9, 14, 17, 22, 25 0 69 1 47 2 25 Course 3 Key: 1 5 means 15 9-2 Organizing Data Insert Lesson Title Here Lesson Quiz: Part III 3. Make a Venn diagram to show how many voters under age 30 responded to the survey. Survey Results Age Registered to Vote Age Registered to Vote 18 yes 55 yes 20 no 31 no 47 no 43 no 62 yes 25 yes 29 yes 19 no Course 3 Under 30 5 3 5 Registered to Vote