7-1 frequency tables, stem-and-leaf plots, and line plots problem of the day warm up warm up lesson...
TRANSCRIPT
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Problem of the DayProblem of the Day
Warm UpWarm Up
Lesson Presentation
Problem of the Day
Lesson Quizzes
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Warm Up
Jason deposits $200 in an account that earns 3.6% simple interest. How long until the total amount is $300?Almost 14 years
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Problem of the Day
Books A, B, C, and D are on the bookshelf. A is between C and B. B is between A and D. D is not on the right. What is the order of the books from right to left? D, B, A, C
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Prep for MA.7.S.6.2 Construct and analyze…stem-and-leaf plots…
Sunshine State Standards
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Vocabulary
frequency tablecumulative frequencystem-and-leaf plotline plot
7-1 Frequency Tables, Stem-and-Leaf 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.
The frequency of a data value is the number of times it occurs.
Remember!
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
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 CitiesAverage
HighsFrequency
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
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
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 CitiesAverage
HighsFrequency
Cumulative Frequency
7
5
5
3
0–19
20–39
40–59
60–79
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
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 CitiesAverage
HighsFrequency
Cumulative Frequency
0–19
20–39
40–59
60–79
7
5
5
3
7
12
17
20
17 cities had average high temperature below 59 degrees.
7-1 Frequency Tables, Stem-and-Leaf 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
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Check It Out: Example 1 Continued
English Exam GradesGrades Frequenc
yCumulative Frequency
60–69
70–79
80–89
90–99
4 4
4
6
6
8
14
20
8 students received a 79 or below.
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
A stem-and-leaf plot uses the digits of each number to organize and display a set of data. Each leaf on the plot represents the right-hand digit in a data value, and each stem represents the reamining left-hand digits.
2 4 7 9
3 0 6
Stems Leaves
Key: 2|7 means 27
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
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.
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Additional Example 2 Continued
Step 2: List the stems from least to greatest on the plot.
Stems Leaves
1
2
3
4
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
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Additional Example 2 Continued
Step 3: List the leaves for each stem from least to greatest.
Stems Leaves
1
2
3
4
The stems are the tens digits.
2 5 5 7 7 8
0 1 2 3 3 93 3
0
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
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Additional Example 2 Continued
Step 4: Add a key and a title.
The stems are the tens digits.
Stems Leaves
1
2
3
4
2 5 5 7 7 8
0 1 2 3 3 93 3
0
The leaves are the ones digits.
Number of Years Coached
Key: 2 | 1 means 21.
11 coaches coached fewer than 25 years.
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
The table shows the number of points a playerscored during the last ten games of the season.Make a stem-and-leaf plot of the data. In howmany games did the player score less than 30points?
Check It Out: Example 2
42
Mar 4
46Feb 20
43Mar 127Feb 18
31Feb 2734Feb 14
18Feb 2536Feb 7
PointsPoints
32 28Feb 23
Mar 3
GameDate GameDate
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Check It Out: Example 2 Continued
Stem Leaves
1
2
3
4
8
7 8
1 2 4 6
2 3 6
3 games under 30 points
Key: 1|8 means 18
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
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
0633484Wk 4
2165860Wk 3
8607772Wk 2
2856460Wk 1
SuSFThWTM
Number of Babysitting Hours in July
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
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.
0 1 2 3 4 5 6 7 8
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
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.
0 1 2 3 4 5 6 7 8
XXXX X
XXX
XX
XXX
XX
XXXXXX
XXX
XXXX
The greatest number of X’s appear above the number 6. This means that Morgan babysat most often for 6 hours.
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Check It Out: Example 3
6 7 8 9 10
The hourly rates Morgan got for her last 10 jobs were $6, $6, $8, $7, $8, $9, $6,$10, $8, $6. Make a line plot of the data. What was the most common hourly rate?
X
XXXX
XXX X X
$6 per hour is the most common rate
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
Lesson Quiz: Part I
Nurses’ Ages
Ages Frequency
Cumulative Frequency
20–29 5 5
30–39 7 12
40–49 4 16
50–59 2 18
60–69 2 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, 38
1. Make a cumulative frequency table of the data. How many of the nurses are under the age of 40? 12
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
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?
Stems Leaves
2
3
4
5
6
1 3 3 4 41 3 4 5 5 8 9
2 5 5 5 7 7 0 1
Nurses’ Ages
Key: 4 | 2 means 42.
4
Lesson Quiz: Part II
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
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
3. Make a line plot of the data. What age occurs most often? 45
20-29 30-39 40-49 50-59 60-69
XXXXX
XXXXXXX
XXXX
XX
XX
Lesson Quiz: Part III
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
1. The data shows the number of loaves of bread a bakery sold each day for a month. Identify a cumulative frequency table of the data. How many days did the bakery sell less than 30 loaves?12, 19, 27, 24, 19, 44, 8, 32, 21, 37, 15, 6, 16, 48, 26, 5, 14, 23, 6, 35, 37, 28, 47, 40
A. B.
Lesson Quiz for Student Response Systems
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
2. The data shows the ages (in days) of puppies in a pet-care center. Identify a stem-and-leaf plot of the data. How many puppies were over the age of 20 days?24, 35, 29, 27, 38, 19, 7, 31, 28, 36, 22, 19, 12, 31, 6, 18, 33, 26, 15, 32, 23, 19, 5, 11, 4
A. B.
Lesson Quiz for Student Response Systems
7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
3. The data gives the shoe sizes of a group of students. Identify a line plot of the data. What shoe size occurs most often?8, 8, 7, 6, 9, 9, 10, 13, 11, 10, 8, 9, 12, 10, 9, 9, 13, 12, 9, 8, 10, 7
A. B.
Lesson Quiz for Student Response Systems