Transcript 9-2 Organizing Data

9-2 Organizing Data
Warm Up
Problem of the Day
Lesson Presentation
Course 3
9-2 Organizing Data
Warm Up
Compare. Write < or >.
1. 3(6) > 15
2. 53 – 37 < 19
3. 27 < 2(14)
4. 49 – (–4) > 51
Course 3
9-2 Organizing Data
Problem of the Day
If today is Wednesday, what day of the
week will it be in 100 days?
Friday
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9-2 Organizing Data
Learn to organize data in tables and
stem-and-leaf plots.
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9-2 Organizing
Insert Lesson
Title Here
Data
Vocabulary
line plot
stem-and-leaf plot
back-to-back stem-and-leaf plot
Venn diagram
Course 3
9-2 Organizing Data
Organizing raw data can help you see
patterns and trends. One way to organize
data is to use a line plot. A line plot uses
a number line to show how often a value
occurs in a data set.
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9-2 Organizing Data
Additional Example 1: Organizing Data in Line
Plots
Use a line plot to organize the math exam scores.
Student Test Scores
100
95
75
80
60
100
60
75
90
85
80
100
50
90
65
80
Find the least value, 50, and the greatest value,
100, in the data set. Then draw a number line from
50 to 100. Place an “x” above each number on the
number line for each time it appears in the data set.
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9-2 Organizing Data
Additional Example 1 Continued
Use a line plot to organize the math exam scores.
Student Test Scores
100
95
75
80
60
100
60
75
90
85
80
100
50
90
65
80
x
50
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55
x
x
x
60
65
70
x
x
x
x
x
75
80
x
x
x
x
x
x
x
85
90
95
100
There are 16
numbers in the
data set and 16
x’s above the
number line.
9-2 Organizing Data
Check It Out: Example 1
Use a line plot to organize the feet of snow
each season.
Feet of Snow
4
11
7
5
1
9
5
10
7
4
3
9
11
10
7
6
5
9
10
11
Find the least value, 1, and the greatest value, 11,
in the data set. Then draw a number line from 1 to
11. Place an “x” above each number on the number
line for each time it appears in the data set.
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9-2 Organizing Data
Check It Out: Example 1 Continued
Use a line plot to organize the feet of snow
each season.
Feet of Snow
4
11
7
5
1
9
5
9
7
4
3
9
11
10
7
6
5
9
10
11
x
1
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2
x
x
x
x
x
x
x
x
x
x
3
4
5
6
7
8
x
x
x
x
x
x
x
x
x
9
10
11
There are 20
numbers in the
data set and 20
x’s above the
number line.
9-2 Organizing Data
A stem-and-leaf plot is another way to
display data. The values are grouped so
that all but the last digit is the same in
each category.
Stem = first digits(s)
2 5 = 25
Leaf = last digit
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9-2 Organizing Data
Additional Example 2: Reading Stem-and-Leaf Plots
List the data values of the stem-and-leaf plot.
1 25
Key: 1 2 means 12
4 011
5 279
The data values are:
12, 15, 40, 41, 41, 52, 57, and 59.
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9-2 Organizing Data
Check It Out: Example 2
List the data values of the stem-and-leaf plot.
2 36
Key: 2 3 means 23
3 789
4 256
The data values are:
23, 26, 37, 38, 39, 42, 45, and 46.
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9-2 Organizing Data
A back-to-back stem-and-leaf plot
is used to compare two sets of data.
The stems are in the center, and the
left leaves are read in reverse.
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9-2 Organizing Data
Additional Example 3: Organizing data in Back-toBack Stem-and-Leaf Plots
Use the given data to make a back-to-back
stem-and-leaf plot.
1950
48
5
1
3
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2000
1 0599
2 9
3
4
Key: | 2 | 9 means 29
8 | 1 | means 18
9-2 Organizing Data
Check It Out: Example 3
Use the given data to make a back-to-back
stem-and-leaf plot.
Voting Statistics
Voted
Did not
Vote
Millions
Millions
18 to 24 years
8
18
25 to 34 years
16
21
35 to 44 years
24
20
8 4 1 0 2 6 6
45 to 54 years
23
14
1 0 2 3 4
55 to 64 years
16
8
65 to 74 years
12
5
75 years up
10
5
Age
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Did not Vote
Voted
8 5 5 0 8
Key: | 0 | 8 means 8
4 | 1 | means 14
9-2 Organizing Data
Venn Diagrams are used to show
relationships between sets.
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9-2 Organizing Data
Additional Example 4: Organizing data in Venn
Diagrams
Make a Venn diagram to show how many 8th
grade students play soccer.
Grade
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Survey Results
Sport
Grade
Sport
6
6
8
8
Baseball
Tennis
Soccer
Baseball
8
7
7
6
Tennis
Soccer
Baseball
Soccer
7
soccer
8
soccer
9-2 Organizing Data
Additional Example 4 Continued
Make a Venn diagram to show how many 8th
grade students play soccer.
Draw two circles.
Label one circle “8th
Graders” and the
other circle “Soccer
Players”. The region
that overlaps
represents both 8th
Graders and Soccer
Players.
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8th
Graders
4
2
5
Soccer
Players
9-2 Organizing Data
Check It Out: Example 4
Make a Venn diagram to show how many 6th
grade students participate in Band.
Grade
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Survey Results
Activity
Grade
Activity
6
6
8
6
Band
Art
Band
Math Club
8
6
7
6
Art
Band
Band
Band
7
Art
8
Math Club
9-2 Organizing Data
Check It Out: Example 4 Continued
Make a Venn diagram to show how many 6th
grade students participate in Band.
Draw two circles.
Label one circle “6th
Graders” and the
other circle “Band”.
The region that
overlaps represents
both 6th Graders and
Band Members.
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6th
Graders
5
3
5
Band
Members
9-2 Organizing
Data
Insert Lesson
Title Here
Lesson Quiz: Part I
1. Use a line plot to organize the data of daily
rainfall during the month of June.
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x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
0
1
Inches of Rainfall During June
0
3
4
1
0
0
0
1
0
5
2
1
0
0
0
0
3
3
0
1
1
1
0
0
4
4
5
2
1
1
x
x
x
x
x
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x
x
x
x
2
3
4
5
9-2 Organizing
Data
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Lesson Quiz: Part II
2. List the data values in the stem-and-leaf plot.
6, 9, 14, 17, 22, 25
0 69
1 47
2 25
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Key: 1 5 means 15
9-2 Organizing
Data
Insert Lesson
Title Here
Lesson Quiz: Part III
3. Make a Venn diagram to show how many voters
under age 30 responded to the survey.
Survey Results
Age
Registered
to Vote
Age
Registered
to Vote
18
yes
55
yes
20
no
31
no
47
no
43
no
62
yes
25
yes
29
yes
19
no
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Under
30
5
3
5
Registered
to Vote