9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1...
-
Upload
scarlett-miller -
Category
Documents
-
view
215 -
download
0
Transcript of 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1...
![Page 1: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/1.jpg)
Lesson 29/4/12
![Page 2: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/2.jpg)
Lesson 2
Do Now:
Represent this data graphically
9/4/12
SiblingsErika 1
Samuel 2Ryan 2Nicky 0
Tia 1
Pop. Home Town
Erika 1,200,000Samuel 5,000Ryan 5,000Nicky 20,000,000
Tia 8,000
![Page 3: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/3.jpg)
Homework:Read chapters 2 and 3Answer CIRCLED questions on hand-out:They are on pg.38-40 of book, #6,8,13,18,22,24
![Page 4: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/4.jpg)
Frequency TableA Frequency Table
organizes counts (data) by providing totals and category names.
A bar chart displays the distribution of a categorical variable, showing the counts for each category next to each other for easy comparison Sam Erika Tia Ryan Nicky
0
5
10
15
20
25
Pairs of Shoes
Pairs of Shoes
Name Pairs of Shoes
Sam 4
Erika 16
Tia 12
Ryan 6
Nicky 21
![Page 5: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/5.jpg)
Relative Frequency Table
A relative frequency table displays the percentages, rather than the counts, of the values in each category.
Name Pairs of Shoes
Sam 4
Erika 16
Tia 12
Ryan 6
Nicky 21
Name Pairs of Shoes % Total Shoes
Sam 4 6.78%
Erika 16 27.12%
Tia 12 20.34%
Ryan 6 10.17%
Nicky 21 35.59%
Sam Erika Tia Ryan Nicky0.00%
5.00%
10.00%
15.00%
20.00%
25.00%
30.00%
35.00%
40.00%
% Total Shoes
% Total Shoes
![Page 6: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/6.jpg)
Pie ChartsTitanic PassengersPie charts show the
whole group of cases as a circle
How easy is it to tell there are almost twice as many third-class passengers as first class passengers?
Crew; 885
Third Class; 706
Second Class; 285
First Class; 325
![Page 7: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/7.jpg)
Comparing DisplaysTitanic Passengers
Crew; 885
Third Class; 706
Second Class; 285
First Class; 325
Crew Third Class Second Class First Class0
100
200
300
400
500
600
700
800
900
1000
885
706
285325
![Page 8: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/8.jpg)
Categorical Data ConditionData must be counts
or percentages of individual categories
No Overlap!Crew; 50.00%
Third Class; 32.08%
Second Class; 12.95%
First Class; 17.00%
![Page 9: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/9.jpg)
Area PrincipleThe area
occupied by a part of the graph should correspond to the magnitude of the value it represents
Pairs of Shoes
SamErikaTiaRyanNicky
Pairs of Shoes
SamErikaTiaRyanNicky
![Page 10: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/10.jpg)
Contingency TableIn order to look at two
categorical variables together we often arrange counts in a two-way table.
The margins of a contingency table hold the frequency distributions for the data, for each variable this is called the marginal distribution
Right
HandedLeft Handed Totals
Males 43 9 52
Females
44 4 48
Totals 87 13 100
Right Handed Left Handed Totals
Males 43% 9% 52%
Females 44% 4% 48%
Totals 87% 13% 100%
![Page 11: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/11.jpg)
Conditional DistributionsIf we look at each row
separately we can see the distribution of left/right handedness under the condition of gender
These percentages are called Conditional DistributionsWhy?
Right Handed Left Handed Totals
Males 43 9 52
82.69% 17.31% 100%
Females 44 4 48
91.67% 8.33% 100%
![Page 12: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/12.jpg)
Conditional Distributions (Cont.)We can turn our
conditional distribution around and look at gender for each type of handedness.
What is the new “Who”?
Right Handed Left Handed Totals
Males 43 9 52
49.43% 69.23% 52%
Females 44 4 48
50.57% 30.77% 48%
Totals 87 13 100
100% 100% 100%
![Page 13: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/13.jpg)
Conditional DistributionsIs your handedness
dependent on your gender?
Probably not.
These two variables appear to be independent.
Right Handed Left Handed0
5
10
15
20
25
30
35
40
45
50
MalesFemales
![Page 14: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/14.jpg)
Segmented Bar Chart
![Page 15: 9/4/12. Do Now: Represent this data graphically 9/4/12 Siblings Erika1 Samuel2 Ryan2 Nicky0 Tia1 Pop. Home Town Erika1,200,000 Samuel5,000 Ryan5,000 Nicky20,000,000.](https://reader036.fdocuments.in/reader036/viewer/2022082613/5697c01b1a28abf838ccf879/html5/thumbnails/15.jpg)
Fin
HW: Handout