Standards Common Core State Standards for Mathematical Practice 1 Make sense of problems and persevere in solving them 2 Attend to precision MCC912SID5 Summarize categorical data for two categories in twoway frequency tables Interpret relative frequencies in the context of the ID: 732653
Download Presentation The PPT/PDF document "Stand Quietly Lesson 9.3_Two-Way Tables" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Stand QuietlySlide2
Lesson 9.3_Two-Way TablesSlide3
Standards:
Common Core State Standards for Mathematical Practice
1. Make sense of problems and persevere in solving them.
2. Attend to precision.
MCC9-12.S.ID.5
Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. Slide4
Homework 5/24/17
Worksheet: Scatter plot, Correlation, and Line of Best Fit
Worksheet: Lesson
9.3 A
Notes_Two
-Way TableSlide5
YOU HAVE A QUIZ TOMORROW
!
* Study line of best fit, lesson
9.2 worksheetSlide6
Two-Way Frequency Table
Watch this:
http://www.youtube.com/watch?v=aUwpxoaCV-w
Slide7
Two-way table
:
categorical data organized in 2 dimensions
Joint
relative frequency:
is found by dividing a frequency that is not in the Total row or the Total column by the grand total.
Marginal relative frequency:
is found by dividing a row total or a column total by the grand total.Slide8
Creating a Relative Frequency Table:
Jenna asked 40 randomly selected students whether they preferred dogs, cats or other pets.
Complete the table for both decimals and percents
Preferred Pet
Dog
Cat
Other
Total
Frequency
18
12
10
40
Relative Frequency Decimals
Relative Frequency Percents
18
40
= .45
45%
12 40
= .30
30%
10 40
= .25
25%
40 40
= 1.00
100%
Old Holt 4-5/4-6; New Holt 10-1/10-2/10-3 On-Core: 9-5 Two Way Frequency TablesSlide9
Creating a Two-Way Frequency Table:
Jenna also recorded the gender of each student.
The results are shown in the two-way frequency table.
Find the totals and answer the questions.
Preferred Pet
Dog
Cat
Other
Total
Boys
10
5
9
24
Girls87116Totals
18
12
10
40
1) How many total students took the survey?
2) How many total boys took the survey?
3) How
many students said they like dogs as pets?
4) How many boys said they like dogs as pets?
40
24
18
10
Old Holt 4-5/4-6; New Holt 10-1/10-2/10-3 On-Core: 9-5 Two Way Frequency TablesSlide10
Creating a Two-Way Relative Frequency Table:
Jenna also recorded the gender of each student surveyed, complete the two-way frequency table below.
Preferred Pet
Dog
Cat
Other
Total
Boys
Girls
Totals
10
40
= .25
5
40
= .125
9
40
= .225
24
40
= .60
8
40
= .20
7
40
= .175
1
40
= .025
16
40
= .40
18
40
= .45
12
40
= .30
10
40
= .25
40
40
= 1.00
Old Holt 4-5/4-6; New Holt 10-1/10-2/10-3 On-Core: 9-5 Two Way Frequency Tables
Preferred Pet
Dog
Cat
Other
Total
Boys
10
5
9
24
Girls
8
7
1
16
Totals
18
12
10
40Slide11
Creating a Two-Way Relative Frequency Table:
Preferred Pet
Dog
Cat
Other
Total
Boys
Girls
Totals
10
40
= .25
5
40
= .125
9
40
= .225
24
40
= .60
8
40
= .20
7
40
= .175
1
40
= .025
16
40
= .40
18
40
= .45
12
40
= .30
10
40
= .25
40
40
= 1.00
Preferred Pet
Dog
Cat
Other
Total
Boys
Girls
Totals
State the percents for the table above.
25%
12.5%
22.5%
60%
20%
17.5%
2.5%
40%
45%
30%
25%
100%
Old Holt 4-5/4-6; New Holt 10-1/10-2/10-3 On-Core: 9-5 Two Way Frequency TablesSlide12
Creating a Two-Way Relative Frequency Table:
1) Find the joint relative frequency of students surveyed who are girls and prefer dogs as pets.
3
) Find the marginal RF of students surveyed
who prefer
dogs as pets and then prefer cats as pets.
dogs - 45%
12.5%
2) Find the joint relative frequency of students surveyed who are boys and prefer cats as pets.
20%
cats - 30%
Preferred Pet
Dog
Cat
OtherTotalBoys 25%12.5%22.5%60%Girls20%17.5%2.5%40%Totals45%30%
25%
100%
Old Holt 4-5/4-6; New Holt 10-1/10-2/10-3 On-Core: 9-5 Two Way Frequency TablesSlide13
Relative Frequency
Go here:
http://www.mathsisfun.com/data/relative-frequency.html
Make sure you try the 10 practice problems.Slide14
Android vs. iPhone
-On
ONE post-it, please
write your name
(first and last).
-Stick it to the appropriate quadrant on the whiteboard.Slide15
Android vs. iPhone
Android
iPhone
Total
Female
Male
TotalSlide16
Do you see any
trends (
patterns in the data
)
?
Discuss with your partner.
Any patterns in the data?
Can you find certain statistics, such as the mean?Slide17
Remember: We summarize categorical data for two
categories
in a two-way frequency table
In our data, we might say there appears to be an
association (
a relationship between two measured quantities
).
Answer the following questions with your partner. Be prepared to share with the class.Slide18
Using the class data, answer & discuss:
How many students total from this class prefer the Android?
How many students prefer the iPhone?
How many students are females?
How many students are males?
How many students are females AND prefer the Android?
How many students are males AND prefer the iPhone?
What ratio (think fraction) are males AND prefer iPhones?
What ratio of students are males AND prefer Androids?
What ratio of students prefer the iPhone? What percent is this?
If we only look at the female students, what ratio prefers the iPhone?
11. If we only look at students who prefer Android, what proportion are male?
Questions #1-6 are
frequency
questions about data.Slide19
Questions #7-8
These questions are questions of
joint relative frequency (the ratio of the value in the body of the table, to the total).Slide20
Question #9
This question is a question of
marginal relative frequency
(the ratio of the value of a
subtotal,
to the total
)Slide21
Questions #10-11
These questions are questions of
conditional relative frequency (the
ratio of the value
in the body of a table,
to
a subtotal)Slide22
Create a two-way table to display the data,
and answer the following question(s
).
Example 2
. It was found that 70 students own headphones and 22 students own LED TVs. There were
63
students that do not own LED TVs.
11 students own both
.
1. Of the students who own headphones, what is the ratio of those who own LED TVs?Slide23
As a class, we will…
1. Select a topic
to create a two-way table
.
Complete the
two-way
table.
Come
up with
3
questions on the given two-way
table.
Answer the questions.Slide24
Class Data