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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course Frequency Tables, Stem-and- Leaf Plots, and Line Plots Course 2

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Learn to organize and interpret data in frequency tables and stem-and-leaf plots, and line plots.

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Cumulative frequency is the total of a frequency and all the frequencies below it in a frequency table. It is a running total of the frequencies in each category. You determine the cumulative frequency by adding the top frequency to the next frequency, and then to the next frequency, and so on. The total number in your cumulative frequency should equal the total number of data in your table.

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 A stem-and-leaf plot is a plot where each data value is split into a "leaf" (usually the last digit) and a "stem" (the other digits). For example "32" would be split into "3" (stem) and "2" (leaf). The stem is the number in the tens place. Stems can occur several times, but they are only listed once. The leaves are the numbers in the ones place. Leaves can occur several times, and should be listed each time they occur.

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 A line plot is a graph that shows frequency (how often something happens) of data along a number line. Usually uses Xs above the numbers. Each X stands for 1. It is almost like a very simple bar graph.

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The list shows the average high temperatures for 20 cities on one February day. Make a cumulative frequency table of the data. How many cities had average high temperature below 59 degrees? 69, 66, 65, 51, 50, 50, 44, 41, 38, 32, 32, 28, 20, 18, 12, 8, 8, 4, 2, 2 Additional Example 1: Organizing and Interpreting Data in a Frequency Table February Temperatures in 20 Cities Average Highs Frequency Cumulative Frequency Step 1: Choose a scale that includes all of the data values. Then separate the scale into equal intervals. 0–19 20–39 40–59 60–79

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The list shows the average high temperatures for 20 cities on one February day. Make a cumulative frequency table of the data. How many cities had average high temperature below 59 degrees? 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 –19 20–39 40–59 60–79

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The list shows the average high temperatures for 20 cities on one February day. Make a cumulative frequency table of the data. How many cities had average high temperature below 59 degrees? 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– cities had average high temperature below 59 degrees.

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Check It Out: Example 1 English Exam Grades GradesFrequency Cumulative Frequency 60–69 70–79 80–89 90–99 Step 1: Choose a scale that includes all of the data values. Then separate the scale into equal intervals. The list shows the grades received on an English exam. Make a cumulative frequency table of the data. How many students received a grade of 79 or below? 85, 84, 77, 65, 99, 90, 80, 85, 95, 72, 60, 66, 94, 86, 79, 87, 68, 95, 71, 96

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The list shows the grades received on an English exam. Make a cumulative frequency table of the data. How many students received a grade of 79 or below? 85, 84, 77, 65, 99, 90, 80, 85, 95, 72, 60, 66, 94, 86, 79, 87, 68, 95, 71, 96 Check It Out: 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–

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The list shows the grades received on an English exam. Make a cumulative frequency table of the data. How many students received a grade of 79 or below? 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. English Exam Grades GradesFrequency Cumulative Frequency 60–69 70–79 80–89 90– students received grades of 79 or below. Check It Out: Example 1 Continued

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 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. Then find the number of coaches who coached fewer than 25 years. 33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17 Additional Example 2: Organizing and Interpreting Data in a Stem-and-Leaf Plot Step 1: Order the data from least to greatest. Since the data values range from 12 to 40, use tens digits for the stems and ones digits for the leaves.

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Additional Example 2 Continued Step 2: List the stems from least to greatest on the plot. Stems Leaves The stems are the tens digits. 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. Then find the number of coaches who coached fewer than 25 years. 33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 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. 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. Then find the number of coaches who coached fewer than 25 years. 33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 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 coaches coached fewer than 25 years.

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The list shows the number of times each soccer player can bounce the ball on their knee. How many soccer players can bounce the ball more than 36 times. 55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68, 30, 61, 27, 38, 41 Check It Out: Example 2 Step 1: Order the data from least to greatest. Since the data values range from 23 to 68, use tens digits for the stems and ones digits for the leaves.

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Check It Out: Example 2 Continued Step 2: List the stems from least to greatest on the plot. Stems Leaves The stems are the tens digits. The list shows the number of times each soccer player can bounce the ball on their knee. How many soccer players can bounce the ball more than 36 times. 55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68, 30, 61, 27, 38, 41

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Check It Out: 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 The list shows the number of times each soccer player can bounce the ball on their knee. How many soccer players can bounce the ball more than 36 times. 55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68, 30, 61, 27, 38, 41

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Check It Out: 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 times a Soccer Player can bounce the ball on their knee Key: 4 | 0 means soccer players can bounce the ball on their knee more than 36 times.

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Make a line plot of the data. How many hours per day did Morgan babysit most often? Additional Example 3: Organizing and Interpreting Data in a Line Plot MTWThFSSu Wk Wk Wk Wk Number of Babysitting Hours in July

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Make a line plot of the data. How many hours per day did Morgan babysit most often? Additional Example 3 Continued Step 1: The data values range from 0 to 8. Draw a number line that includes this range

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Make a line plot of the data. How many hours per day did Morgan babysit most often? Additional Example 3 Continued Step 2: Put an X above the number on the number line that corresponds to the number of babysitting hours in July XXXXXXXX X XXXXXX X XXXXXX X XXXXXXXXXXXX XXXXXX XXXXXXXX The greatest number of Xs appear above the number 6. This means that Morgan babysat most often for 6 hours.

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Make a line plot of the data. How many slices of pizza did most people eat? Check It Out: Additional Example Number of Slices eaten per Person

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Check It Out: Example 3 Continued Step 1: The data values range from 0 to 6. Draw a number line that includes this range Make a line plot of the data. How many slices of pizza did most people eat?

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Check It Out: Example 3 Continued Make a line plot of the data. How many slices of pizza did most people eat? Step 2: Put an X above the number on the number line that corresponds to the number slices of pizza eaten per person. X XXXXXX XXXXXXXXXXXX XXXXXX XXXXXXXX XXXXXX X The greatest number of Xs appear above the number 2. This means that most people ate 2 slices of pizza.

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Lesson Quiz: Part I Nurses Ages AgesFrequency Cumulative Frequency 20– – – – – 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. How many of the nurses are under the age of 40? 12

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 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. How many nurses are over the age of 45? Stems Leaves Nurses Ages Key: 4 | 2 means Lesson Quiz: Part II

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7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 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 line plot of the data. What age occurs most often? XXXXXXXXXX XXXXXXXXXXXXXX XXXXXXXX X X Lesson Quiz: Part III

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