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  1. Frequency Tables and Stem-and-Leaf Plots 1-3 Warm Up Problem of the Day Lesson Presentation Course 2

  2. Frequency Tables and Stem-and-Leaf Plots 1-3 Course 2 Warm Up Use these numbers to answer the following questions. 136, 151, 104, 168, 140, 124, 162, 121, 118 1. What is the highest score? 2. What is the lowest score? 3. What is the range of scores? 4. How can you find the median? 168 104 64 Arrange the numbers in order and find the value in the middle.

  3. Frequency Tables and Stem-and-Leaf Plots Frequency Tables and Stem-and-Leaf Plots 1-3 Course 2 Problem of the Day Books A, B, C, and D are on the bookshelf. A is between C and B. B is between A and D. D is not on the right. What is the order of the books from right to left? D, B, A, C Course 2

  4. Frequency Tables and Stem-and-Leaf Plots 1-3 Course 2 Learn to organize and interpret data in frequency tables and stem-and-leaf plots.

  5. Frequency Tables and Stem-and-Leaf Plots 1-3 Course 2 Vocabulary frequency table cumulative frequency stem-and-leaf plot

  6. Frequency Tables and Stem-and-Leaf Plots 1-3 Course 2 A frequency table is a way to organize data into categories or groups. By including a cumulative frequency column in your table, you can keep a running total of the frequencies in each category.

  7. Frequency Tables and Stem-and-Leaf Plots 1-3 February Temperatures in 20 Cities Cumulative Frequency Average Highs Frequency Course 2 Additional Example 1: Organizing Data in a Frequency Table The list shows the average high temperatures for 20 cities on one February day. Make a cumulative frequency table of the data. 69, 66, 65, 51, 50, 50, 44, 41, 38, 32, 32, 28, 20, 18, 12, 8, 8, 4, 2, 2 Step 1: Look at the range to choose equal intervals for the data. 0–19 20–39 40–59 60–79

  8. Frequency Tables and Stem-and-Leaf Plots 1-3 February Temperatures in 20 Cities Cumulative Frequency Average Highs Frequency 0–19 20–39 40–59 60–79 Course 2 Additional Example 1 Continued The list shows the average high temperatures for 20 cities on one February day. Make a cumulative frequency table of the data. 69, 66, 65, 51, 50, 50, 44, 41, 38, 32, 32, 28, 20, 18, 12, 8, 8, 4, 2, 2 Step 2: Find the number of data values in each interval. Write these numbers in the “Frequency” column. 7 5 5 3

  9. Frequency Tables and Stem-and-Leaf Plots 1-3 February Temperatures in 20 Cities Cumulative Frequency Average Highs Frequency 0–19 7 20–39 5 40–59 5 3 60–79 Course 2 Additional Example 1 Continued The list shows the average high temperatures for 20 cities on one February day. Make a cumulative frequency table of the data. 69, 66, 65, 51, 50, 50, 44, 41, 38, 32, 32, 28, 20, 18, 12, 8, 8, 4, 2, 2 Step 3: Find the cumulative frequency for each row by adding all the frequency values that are above or in that row. 7 12 17 20

  10. Frequency Tables and Stem-and-Leaf Plots 1-3 English Exam Grades Cumulative Frequency Grades Frequency Course 2 Try This: Example 1 The list shows the grades received on an English exam. Make a cumulative frequency table of the data. 85, 84, 77, 65, 99, 90, 80, 85, 95, 72, 60, 66, 94, 86, 79, 87, 68, 95, 71, 96 Step 1: Look at the range to choose equal intervals for the data. 60–69 70–79 80–89 90–99

  11. Frequency Tables and Stem-and-Leaf Plots 1-3 English Exam Grades Cumulative Frequency Grades Frequency 60–69 70–79 80–89 90–99 Course 2 Try This: Example 1 Continued The list shows the grades received on an English exam. Make a cumulative frequency table of the data. 85, 84, 77, 65, 99, 90, 80, 85, 95, 72, 60, 66, 94, 86, 79, 87, 68, 95, 71, 96 Step 2: Find the number of data values in each interval. Write these numbers in the “Frequency” column. 4 4 6 6

  12. Frequency Tables and Stem-and-Leaf Plots 1-3 English Exam Grades Cumulative Frequency Grades Frequency 4 60–69 4 70–79 80–89 6 6 90–99 Course 2 Try This: Example 1 Continued The list shows the grades received on an English exam. Make a cumulative frequency table of the data. 85, 84, 77, 65, 99, 90, 80, 85, 95, 72, 60, 66, 94, 86, 79, 87, 68, 95, 71, 96 Step 3: Find the cumulative frequency for each row by adding all the frequency values that are above or in that row. 4 8 14 20

  13. Frequency Tables and Stem-and-Leaf Plots 1-3 Stems Leaves 2 4 7 9 3 0 6 Course 2 A stem-and-leaf plot can be used to show how often data values occur and how they are distributed. Each leaf on the plot represents the right-hand digit in a data value, and each stem represents left-hand digits. Key:2|7 means 27

  14. Frequency Tables and Stem-and-Leaf Plots 1-3 Course 2 Additional Example 2: Organizing Data in a Stem-and-Leaf Plot The data shows the number of years coached by the top 15 coaches in the all-time NFL coaching victories. Make a stem-and-leaf plot of the data. 33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17 Step 1: Find the least data value and the greatest data value. Since the data values range from 12 to 40, use tens digits for the stems and ones digits for the leaves.

  15. Frequency Tables and Stem-and-Leaf Plots 1-3 Stems Leaves Course 2 Additional Example 2 Continued The data shows the number of years coached by the top 15 coaches in the all-time NFL coaching victories. Make a stem-and-leaf plot of the data. 33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17 Step 2: List the stems from least to greatest on the plot. The stems are the tens digits. 1 2 3 4

  16. Frequency Tables and Stem-and-Leaf Plots 1-3 Stems Leaves Course 2 Additional Example 2 Continued The data shows the number of years coached by the top 15 coaches in the all-time NFL coaching victories. Make a stem-and-leaf plot of the data. 33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17 Step 3: List the leaves for each stem from least to greatest. The stems are the tens digits. The leaves are the ones digits. 8 5 5 7 7 2 1 2 3 4 0 3 2 3 9 1 3 3 0

  17. Frequency Tables and Stem-and-Leaf Plots 1-3 Stems Leaves 8 5 5 7 7 2 1 2 3 4 0 3 2 3 9 1 3 3 0 Course 2 Additional Example 2 Continued The data shows the number of years coached by the top 15 coaches in the all-time NFL coaching victories. Make a stem-and-leaf plot of the data. 33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17 Step 4: Add a key and a title. Number of Years Coached The stems are the tens digits. The leaves are the ones digits. Key: 2 | 1 means 21.

  18. Frequency Tables and Stem-and-Leaf Plots 1-3 Course 2 Try This: Example 2 The list shows the number of students on twenty school buses. 55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68, 30, 61, 27, 38, 41 Step 1: Find the least data value and the greatest data value. Since the data values range from 23 to 68, use tens digits for the stems and ones digits for the leaves.

  19. Frequency Tables and Stem-and-Leaf Plots 1-3 Stems Leaves Course 2 Try This: Example 2 Continued The list shows the number of students on twenty school buses. 55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68, 30, 61, 27, 38, 41 Step 2: List the stems from least to greatest on the plot. The stems are the tens digits. 2 3 4 5 6

  20. Frequency Tables and Stem-and-Leaf Plots 1-3 Stems Leaves 2 3 4 5 6 Course 2 Try This: Example 2 Continued The list shows the number of students on twenty school buses. 55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68, 30, 61, 27, 38, 41 Step 3: List the leaves for each stem from least to greatest. The stems are the tens digits. The leaves are the ones digits. 8 7 3 9 0 7 3 8 0 5 1 1 0 3 5 5 8 1 2 0

  21. Frequency Tables and Stem-and-Leaf Plots 1-3 Stems Leaves 8 7 3 9 2 3 4 5 6 0 7 3 8 0 5 1 1 0 3 5 5 8 1 2 0 Course 2 Try This: Example 2 Continued The list shows the number of students on twenty school buses. 55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68, 30, 61, 27, 38, 41 Step 4: Add a key and a title. Number of Students on School Buses The stems are the tens digits. The leaves are the ones digits. Key: 4 | 0 means 40.

  22. Frequency Tables and Stem-and-Leaf Plots 1-3 Course 2 Lesson Quiz The data shows the ages of some hospital nurses. 33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38 1. Make a cumulative frequency table of the data. 2. Make a stem-and-leaf plot of the data.

  23. Frequency Tables and Stem-and-Leaf Plots 1-3 Nurses’ Ages Cumulative Frequency Ages Frequency 20–29 5 5 30–39 7 12 40–49 4 16 50–59 2 18 60–69 2 20 Course 2 Lesson Quiz The data shows the ages of some hospital nurses. 33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38 1. Make a cumulative frequency table of the data.

  24. Frequency Tables and Stem-and-Leaf Plots 1-3 Nurses’ Ages Stems Leaves 1 3 3 4 4 2 3 4 5 6 1 3 4 5 5 8 9 2 5 5 5 7 7 0 1 Course 2 Lesson Quiz The data shows the ages of some hospital nurses. 33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38 2. Make a stem-and-leaf plot of the data. Key: 4 | 2 means 42.