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Course 1 6-9 Stem-and-Leaf Plots 6-9 Stem-and-Leaf Plots Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day
description
6-9. Stem-and-Leaf Plots. Course 1. Warm Up. Problem of the Day. Lesson Presentation. Warm Up A set of data ranges from 12 to 86. What intervals would you use to display this data in a histogram with four intervals?. Possible answer: 10–29, 30–49, 50–69, 70–89. Problem of the Day - PowerPoint PPT Presentation
Transcript of 6-9
Course 1
6-9 Stem-and-Leaf Plots6-9 Stem-and-Leaf Plots
Course 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Course 1
6-9 Stem-and-Leaf Plots
Warm Up
A set of data ranges from 12 to 86. What intervals would you use to display this data in a histogram with four intervals?Possible answer: 10–29, 30–49, 50–69, 70–89
Course 1
6-9 Stem-and-Leaf Plots
Problem of the Day
What is the least number that can be divided evenly by each of the numbers 1 through 12?27,720
Course 1
6-9 Stem-and-Leaf Plots
Learn to make and analyze stem-and-leaf plots.
Course 1
6-9 Stem-and-Leaf Plots
Vocabulary
stem-and-leaf plot
Course 1
6-9 Stem-and-Leaf Plots
A stem-and-leaf plot shows data arranged by place value. You can use a stem-and-leaf plot when you want to display data in an organized way that allows you to see each value.
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6-9 Stem-and-Leaf Plots
Additional Example 1: Creating Stem-and-Leaf Plots
Use the data in the table to make a stem-and-leaf plot.
Test Scores
75 86 83 91 94
88 84 99 79 86
Step 1: Group the data by tens digits.
Step 2: Order the data from least to greatest.
75 79
83 84 86 86 88
91 94 99
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6-9 Stem-and-Leaf Plots
To write 42 in a stem-and-leaf plot, write each digit in a separate column.
4 2
Helpful Hint
Stem Leaf
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6-9 Stem-and-Leaf Plots
Additional Example 1 Continued
Step 3: List the tens digits of the data in order from least to greatest. Write these in the “stems” column.
Step 4: For each tens digit, record the ones digits of each data value in order from least to greatest. Write these in the “leaves” column.
Step 5: Title the graph and add a key.
Stems
Test Scores
Key: 7 5 means 75
Leaves
78
9
5 93 4 6 6 8
1 4 9
75 79
83 84 86 86 88
91 94 99
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6-9 Stem-and-Leaf Plots
Check It Out: Example 1
Use the data in the table to make a stem-and-leaf plot.
Test Scores
72 88 64 79 61
84 83 76 74 67
Step 1: Group the data by tens digits.
Step 2: Order the data from least to greatest.
61 64 67
72 74 76 79
83 84 88
Course 1
6-9 Stem-and-Leaf Plots
Check It Out: Example 1 Continued
Step 3: List the tens digits of the data in order from least to greatest. Write these in the “stems” column.
Step 4: For each tens digit, record the ones digits of each data value in order from least to greatest. Write these in the “leaves” column.
Step 5: Title the graph and add a key.
Stems
Test Scores
Key: 6 1 means 61
Leaves
67
8
1 4 72 4 6 9
3 4 8
61 64 67
72 74 76 79
83 84 88
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6-9 Stem-and-Leaf Plots
Additional Example 2: Reading Stem-and-Leaf Plots
Find the least value, greatest value, mean, median, mode, and range of the data.
Stems Leaves4
56
0 0 1 5 71 1 2 43 3 3 5 9 9
789
0 4 43 6 71 4
The least stem and least leaf give the least value, 40.
The greatest stem and greatest leaf give the greatest value, 94.
Use the data values to find the mean (40 + … + 94) ÷ 23 = 64.
Key: 4 0 means 40
Course 1
6-9 Stem-and-Leaf Plots
Additional Example 2 Continued
The median is the middle value in the table, 63.
To find the mode, look for the number that occurs most often in a row of leaves. Then identify its stem. The mode is 63.
The range is the difference between the greatest and the least value. 94 – 40 = 54.
Stems Leaves4
56
0 0 1 5 71 1 2 43 3 3 5 9 9
789
0 4 43 6 71 4
Key: 4 0 means 40
Course 1
6-9 Stem-and-Leaf Plots
Check It Out: Example 2
Find the least value, greatest value, mean, median, mode, and range of the data.
Stems Leaves3
4
5
0 2 5 6 81 1 3 4
4 5 6 9 9 9 6
78
1 2 4
5 6 91 5
The least stem and least leaf give the least value, 30.
The greatest stem and greatest leaf give the greatest value, 85.
Use the data values to find the mean (30 + … + 85) ÷ 23 = 55.
Key: 3 0 means 30
Course 1
6-9 Stem-and-Leaf Plots
Check It Out: Example 2 Continued
The median is the middle value in the table, 56.
To find the mode, look for the number that occurs most often in a row of leaves. Then identify its stem. The mode is 59.
The range is the difference between the greatest and the least value. 85 – 30 = 55.
Stems Leaves3
4
5
0 2 5 6 81 1 3 4
4 5 6 9 9 9 6
78
1 2 4
5 6 91 5
Key: 3 0 means 30
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6-9 Stem-and-Leaf Plots
Lesson Quiz: Part I
1. Make a stem-and-leaf plot of the data.
42 36 40 31 29 49 21 28 52 27 22
35 30 46 34 34
2 1 2 7 8 9
3 0 1 4 4 5 6
4 0 2 6 9
5 2
Stems Leaves
Key: 3 | 0 means 30
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6-9 Stem-and-Leaf Plots
Lesson Quiz: Part II
Find each value using the stem-and-leaf plot.
2. What is the least value?
3. What is the mean?
4. What is the median?
5. What is the mode?
34.75
21
34
34
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