Transcript stem-and-leaf plot

Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Over the next 2 days we will Learn to
organize and interpret data in frequency
tables and stem-and-leaf plots, and line
plots.
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
I can create line plots and stem and
leaf plots from given data.
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Set-up for Page 43 Notes
Line Plot Notes:
Stem and Leaf Plot Notes:
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Page 43 NOTES:
A line (dot) plot is a graph that shows data
along a number line.
It is best to use a (dot) plot when
comparing fewer than 25 numbers.
It is a quick, simple way to organize data
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Example 1 of a what a line plot looks like:
The following #’s are the result from a test taken
by a class of 24 students.
16, 14, 17, 11, 14, 19, 11, 17,12 ,21, 22, 18, 11,
16, 15, 14, 18, 12, 13, 16, 17, 15, 13,17
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Questions that can be asked about
this dot line ?!?!
1) How many students scored less
than a 17. ______
2) How many total students took the
test. ______
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Additional Example 3:
Organizing and Interpreting Data in a Line Plot
Make a line plot of the data. How many hours
per day did Morgan babysit most often?
Number of Babysitting Hours in July
M
T
W
Th
F
S
Su
Wk 1
0
6
4
6
5
8
2
Wk 2
2
7
7
7
0
6
8
Wk 3
0
6
8
5
6
1
2
Wk 4
4
8
4
3
3
6
0
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Additional Example 3 Continued
Make a line plot of the data. How many hours
per day did Morgan babysit most often?
Step 1: The data values range from 0 to 8. Draw a
number line that includes this range.
0
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2
3
4
5
6
7
8
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Additional Example 3 Continued
Make a line plot of the data. How many hours
per day did Morgan babysit most often?
Step 1: The data values range from 0 to 8. Draw a
L number line that includes this range.
a
b
e
l
a
x
i
0
s
Course 2
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2
3
4
Label Axis
5
6
7
8
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Additional Example 3 Continued
Make a line plot of the data. How many hours
per day did Morgan babysit most often?
Step 2: Put an X above the number on the number
line that corresponds to the number of babysitting
hours in July.
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
0
1
2
3
4
5
6
7
8
The greatest number of X’s appear above the number 6.
This means that Morgan babysat most often for 6 hours.
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Check It Out: Additional Example 3
Make a line plot of the data. How many slices
of pizza did most people eat?
Number of Slices eaten per Person
Course 2
2
4
1
2
5
3
1
0
4
3
2
5
3
2
4
6
1
4
2
2
5
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Check It Out: Example 3 Continued
Make a line plot of the data. How many slices
of pizza did most people eat?
Step 1: The data values range from 0 to 6. Draw a
number line that includes this range.
0
Course 2
1
2
3
4
5
6
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
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
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
0
1
2
3
4
5
6
The greatest number of X’s appear above the number 2.
This means that most people ate 2 slices of pizza.
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
When is your birthday?
J
A
N
Course 2
F
E
B
M
A
R
C
H
A
P
R
I
L
M
A
Y
J
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N
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J
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L
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A
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G
S
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V
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Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
This line plot represents the number of hours that Morgan spent
babysitting each day in the month of June.
X
X
X
X
X
0
X
X
X
X
X
X
X
X
X
1
2
3
4
X
X
X
X
X
X
X
5
6
Review Questions:
1. What is the most common number of hours that
Morgan spent babysitting?
2. How many days did Morgan spend
babysitting more fewer than 4 hours?
Course 2
X
X
X
X
X
X
X
7
8
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Re-cap of Line Plots:
1)Don't have to start at zero on the
number line.
2) Line plots are also called dot plots
3) If a number does not have any x’s it still
needs to be included in line plot. (NO
GAPS)
4) x's need to be same length
5) label the line plot
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Page 43:
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
2
3
Leaves
4 7 9
0 6
Key: 2|7 means 27
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
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.
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
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.
Course 2
Stems
1
2
3
4
Leaves
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
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.
Course 2
Stems
1
2
3
4
Leaves
2 5 5 7 7 8
0 1 23 3 9
3 3
0
The leaves
are the
ones digits.
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Additional Example 2 Continued
Step 4: Add a key and a title.
Number of Years Coached
The stems
are the tens
Stems Leaves
digits.
Key: 2 | 1 means 21.
1
2
3
4
2 5 5 7 7 8
0 1 23 3 9
3 3
0
11 coaches coached fewer than 25 years.
Course 2
The leaves
are the
ones digits.
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
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.
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
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.
Course 2
Stems
2
3
4
5
6
Leaves
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
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.
Course 2
Stems
2
3
4
5
6
Leaves
3 7 8 9
0 0 3 5 7 8
0 1 1 3 5
5
0 1 2 8
The leaves
are the
ones digits.
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Check It Out: Example 2 Continued
Step 4: Add a key and a title.
Number of times a Soccer Player
can bounce the ball on their knee
Stems
2
The stems
are the tens
3
digits.
4
5
6
Key: 4 | 0 means 40.
Leaves
3 7 8 9
0 0 3 5 7 8
0 1 1 3 5
5
0 1 2 8
The leaves
are the ones
digits.
12 soccer players can bounce the ball on their knee
more than 36 times.
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Data from Unit 5 Surface Area/Volume Test
75, 78, 92, 96, 87, 100, 85, 72, 100, 63, 99, 94
Stem
Key:
Course 2
Leaves
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Re-cap on stem and leaf plots:
1) You need to always have a key.
2) Leaves can only have one-digit.
3) Stems can be multiple numbers.
Line Plot and Stem&Leaf Plots
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
HOMEWORK TIME 
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Day 2:
Pick up sponge on front table.
Review of Dot Plots.
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
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 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
I can make Frequency
Tables using data given.
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Additional Example 1: Organizing and Interpreting
Data in a Frequency Table
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
February Temperatures in 20 Cities
Step 1: Choose a
scale that includes
all of the data
values. Then
separate the scale
into equal
intervals.
Course 2
Average
Highs
0–19
20–39
40–59
60–79
Frequency
Cumulative
Frequency
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Additional Example 1 Continued
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
Step 2: Find the
number of data
values in each
interval. Write
these numbers in
the “Frequency”
column.
Course 2
February Temperatures in 20 Cities
Average
Frequency Cumulative
Frequency
Highs
20–39
7
5
40–59
5
60–79
3
0–19
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Additional Example 1 Continued
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
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
Frequency Cumulative
Frequency
Highs
0–19
20–39
7
5
40–59
5
12
17
60–79
3
20
7
17 cities had average high temperature below 59 degrees.
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Check It Out: Example 1
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 1: Choose a scale
that includes all of the
data values. Then
separate the scale into
equal intervals.
English Exam Grades
Grades
Frequency Cumulative
Frequency
60–69
70–79
80–89
90–99
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Check It Out: Example 1 Continued
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 2: Find the
number of data
values in each
interval. Write
these numbers in
the “Frequency”
column.
Course 2
English Exam Grades
Grades
Frequency Cumulative
Frequency
60–69
70–79
4
4
80–89
6
6
90–99
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Check It Out: Example 1 Continued
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
Grades
Frequency Cumulative
Frequency
60–69
70–79
80–89
90–99
4
4
4
8
6
6
14
8 students received grades of 79 or below.
Course 2
20
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
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 cumulative frequency table of the data. How
many of the nurses are under the age of 40? 12
Nurses’ Ages
Frequency
Cumulative
Frequency
20–29
5
5
30–39
40–49
7
4
12
16
50–59
2
18
60–69
2
20
Ages
Course 2
Frequency Tables, Stem-and-Leaf
7-1 Plots, and Line Plots
Re-cap of Frequency Tables:
1) Look at minimum and maximum values
2) From there make even intervals.
3) Tally up how many of each you have
between the intervals.
Course 2