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

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Warm Up Use these numbers to answer the following questions. 136, 151, 104, 168, 140, 124, 162, 121, 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? Course Frequency Tables and Stem-and-Leaf Plots 64 Arrange the numbers in order and find the value in the middle.

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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 Frequency Tables and Stem-and-Leaf Plots Course Frequency Tables and Stem-and-Leaf Plots

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

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Vocabulary frequency table cumulative frequency stem-and-leaf plot Course Frequency Tables and Stem-and-Leaf Plots

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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. Course Frequency Tables and Stem-and-Leaf Plots

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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 Additional Example 1: Organizing Data in a Frequency Table February Temperatures in 20 Cities Average Highs Frequency Cumulative Frequency Step 1: Look at the range to choose equal intervals for the data. 0–19 20–39 40–59 60–79 Course Frequency Tables and Stem-and-Leaf Plots

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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 Additional Example 1 Continued Step 2: Find the number of data values in each interval. Write these numbers in the Frequency column. February Temperatures in 20 Cities Average Highs Frequency Cumulative Frequency 0–19 20–39 40–59 60– Course Frequency Tables and Stem-and-Leaf Plots

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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 Additional Example 1 Continued Step 3: Find the cumulative frequency for each row by adding all the frequency values that are above or in that row. February Temperatures in 20 Cities Average Highs Frequency Cumulative Frequency 0–19 20–39 40–59 60– Course Frequency Tables and Stem-and-Leaf Plots

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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 Try This: Example 1 English Exam Grades GradesFrequency Cumulative Frequency Step 1: Look at the range to choose equal intervals for the data. 60–69 70–79 80–89 90–99 Course Frequency Tables and Stem-and-Leaf Plots

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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 Try This: Example 1 Continued Step 2: Find the number of data values in each interval. Write these numbers in the Frequency column. English Exam Grades GradesFrequency Cumulative Frequency 60–69 70–79 80–89 90– Course Frequency Tables and Stem-and-Leaf Plots

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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 Try This: Example 1 Continued Step 3: Find the cumulative frequency for each row by adding all the frequency values that are above or in that row. English Exam Grades GradesFrequency Cumulative Frequency 60–69 70–79 80–89 90– Course Frequency Tables and Stem-and-Leaf Plots

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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 Stems Leaves Key: 2|7 means 27 Course Frequency Tables and Stem-and-Leaf Plots

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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 Additional Example 2: Organizing Data in a Stem-and-Leaf Plot Step 1: Find the least data valueand 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. Course Frequency Tables and Stem-and-Leaf Plots

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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 Additional Example 2 Continued Step 2: List the stems from least to greatest on the plot. Stems Leaves The stems are the tens digits. Course Frequency Tables and Stem-and-Leaf Plots

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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 Additional Example 2 Continued Step 3: List the leaves for each stem from least to greatest. Stems Leaves The stems are the tens digits The leaves are the ones digits. Course Frequency Tables and Stem-and-Leaf Plots

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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 Additional Example 2 Continued Step 4: Add a key and a title. The stems are the tens digits. Stems Leaves The leaves are the ones digits. Number of Years Coached Key: 2 | 1 means 21. Course Frequency Tables and Stem-and-Leaf Plots

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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 Try This: Example 2 Step 1: Find the least data valueand 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. Course Frequency Tables and Stem-and-Leaf Plots

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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 Try This: Example 2 Continued Step 2: List the stems from least to greatest on the plot. Stems Leaves The stems are the tens digits. Course Frequency Tables and Stem-and-Leaf Plots

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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 Try This: Example 2 Continued The stems are the tens digits. Stems Leaves Step 3: List the leaves for each stem from least to greatest. The leaves are the ones digits Course Frequency Tables and Stem-and-Leaf Plots

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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 Try This: Example 2 Continued The stems are the tens digits. Step 4: Add a key and a title. The leaves are the ones digits. Stems Leaves Number of Students on School Buses Key: 4 | 0 means 40. Course Frequency Tables and Stem-and-Leaf Plots

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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, Make a cumulative frequency table of the data. 2. Make a stem-and-leaf plot of the data. Course Frequency Tables and Stem-and-Leaf Plots

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Lesson Quiz Nurses Ages AgesFrequency Cumulative Frequency 20– – – – – Course Frequency Tables and Stem-and-Leaf Plots 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, Make a cumulative frequency table of the data.

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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, Make a stem-and-leaf plot of the data. Stems Leaves Nurses Ages Key: 4 | 2 means 42. Course Frequency Tables and Stem-and-Leaf Plots

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