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Common Core State Standards Learning Objective. 7.SP.3 Compare two numerical data distributions. Vocabulary. line plot stem-and-leaf plot back-to-back stem-and-leaf plot. Additional Example 1: Organizing Data in Line Plots. Use a line plot to organize the math exam scores.
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Common Core State Standards Learning Objective 7.SP.3 Compare two numerical data distributions.
Vocabulary line plot stem-and-leaf plot back-to-back stem-and-leaf plot
Additional Example 1: Organizing Data in Line Plots Use a line plot to organize the math exam scores. Step 1: Find the least and greatest values in the data set. Then draw a number line that includes these values. least value: 50 greatest value: 100
Additional Example 1 Continued Step 2: Place an x above the number on the number line that corresponds to each student’s test score. There are 16 numbers in the data set and 16 x’s above the number line. xxx xxx xx xx xx x x x x 50 55 60 65 70 75 80 85 90 95 100
Check It Out! Example 1 Use a line plot to organize the feet of snow each season. Step 1: Find the least and greatest values in the data set. Then draw a number line from 1 to 11. least value: 1 greatest value: 11
Check It Out! Example 1 Continued Use a line plot to organize the feet of snow each season. Step 2: Place an x above the number on the number line that corresponds to the number of feet of snow that fell. xxxx There are 20 numbers in the data set and 20 x’s above the number line. xxx xxx xxx xx xx x x x 1 2 3 4 5 6 7 8 9 10 11
Stems Leaves 2 4 7 9 3 0 6 A stem-and-leaf plot uses the digits of each number in a data set to group the individual numbers. Each leaf on the plot represents the right-hand digit in a data value, and each stem represents left-hand digits. The key shows the values of the data on the plot. Key:2|7 means 27
Additional Example 2: Organizing and Interpreting 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. 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 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.
Stems Leaves 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. 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 Step 2: List the stems from least to greatest on the plot. The stems are the tens digits. 1 2 3 4
Stems Leaves 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. 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 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
Stems Leaves 8 5 5 7 7 2 1 2 3 4 0 3 2 3 9 1 3 3 0 Additional Example 2 Continued 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. 11 coaches coached fewer than 25 years.
Check It Out! Example 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 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.
Stems Leaves Check It Out! Example 2 Continued 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 Step 2: List the stems from least to greatest on the plot. The stems are the tens digits. 2 3 4 5 6
Stems Leaves 2 3 4 5 6 Check It Out! Example 2 Continued 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 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
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 Check It Out! Example 2 Continued Step 4: Add a key and a title. Number of Bounces The stems are the tens digits. The leaves are the ones digits. Key: 4 | 0 means 40. 12 soccer players can bounce the ball on their knee more than 36 times.
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 leaves for one set of data are to the right of the stems. The leaves for the other set of data are to the left of the stems.
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. 1950 2000 1 2 3 4 4 8 0 5 9 9 Key: | 2 | 9 means 29 8 | 1 | means 18 5 1 3 9
Check It Out! Example 3 Use the given data to make a back-to-back stem-and-leaf plot. Did Not Vote Voted 8 5 5 8 4 1 0 0 8 1 0 2 6 6 2 3 4 Key: | 0 | 8 means 8 4 | 1 | means 14
Lesson Quiz: Part I 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 line plot of the data.What age occurs most often? 45 xxx xx xx xx xx x x x x x x x x x 21 23 24 31 33 34 35 38 39 42 45 57 60 61
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 Lesson Quiz: Part II 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. How many nurses are over the age of 45? 4 Key: 4 | 2 means 42.
Checking for Understanding Stem and Leaf Plots
Classwork & Homework Lesson 11-1 Practice B Lesson 11-1 Problem Solving