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AP Statistics BootCamp2012Chapter 1: Exploring Data
•Verify your contact info•Find your team•Get credit for your statistical article
+Bellringer:
List as many things as you can that you all have in common. You have 1 minute. Ex: We all are wearing a blue shirt. Ex: We all like to swim. Ex: We all have an older brother. Etc.
+ Boot Camp Basics 9am-1pm Mon-Thurs
Be on time and prepared!
AP Statistics Test: Friday, May 10 at noon
Resources: Your Teacher Your TA’s Your Textbook The Website: whfreeman.com/tps4e Calculators Software Programs Other Resources Each Other!!!!!!!
We will complete Ch. 1 over the next four days. You will have some homework to practice what we do in class. Our goal for today: Introduction and Section 1.1. But really, we want to be
able to define the discipline of statistics.
+Did You Know?How much do you know about your classmates?
Without looking, what is the most common eye color in your class?
Without asking, how many siblings does a “typical” classmate have?
In this activity, you’ll begin by collecting some data to help you answer these questions. Then, you’ll work with your team to analyze the data.
1. Record your eye color and number of siblings on the board.
2. Work with your teammates to produce a graph that displays the eye color data effectively. Add any numerical information that you think helps summarize the data.
3. Share your team’s analysis with the rest of the class. What is the most common eye color?
4. Now, work with your teammates to produce a graph that displays the sibling data effectively. Add any numerical information that you think helps summarize the data.
5. Share your team’s analysis with the rest of the class. How many siblings does a “typical” student have?
+So what is the discipline of Statistics?
In your teams, share your statistical articles. Pick one to read and analyze together.
Complete the Statistical Article Analysis Sheet together as a group.
Share out your two-sentence summary of article analysis.
+Textbooks. Turn to the Overview on page xxviii
Read intro together.
Jigsaw other 5 sections. Each group assigned one section to read and summarize to share out to us.
Share out your Summaries
+Ch. 1 Introduction Lecture & Notes
I will post these online for you to look at later but take notes on the following: Vocabulary & Definitions Strategies/Processes Things I say that are not on the PowerPoint Examples References to pages in book
+
The Practice of Statistics, 4th edition - For AP*STARNES, YATES, MOORE
Chapter 1: Exploring DataIntroductionData Analysis: Making Sense of Data
Statistics
+Chapter 1Exploring Data
Introduction: Data Analysis: Making Sense of Data
1.1 Analyzing Categorical Data
1.2 Displaying Quantitative Data with Graphs
1.3 Describing Quantitative Data with Numbers
+IntroductionData Analysis: Making Sense of Data
After this section, you should be able to…
DEFINE “Individuals” and “Variables”
DISTINGUISH between “Categorical” and “Quantitative” variables
DEFINE “Distribution”
DESCRIBE the idea behind “Inference”
Learning Objectives
+Data A
nalysis Statistics is the science of data.
Data Analysis is the process of organizing, displaying, summarizing, and asking questions about data.
Definitions:
Individuals – objects (people, animals, things) described by a set of data
Variable - any characteristic of an individual
Categorical Variable– places an individual into one of several groups or categories.
Quantitative Variable – takes numerical values for which it makes sense to find an average.
+Data A
nalysis A variable generally takes on many different values.
In data analysis, we are interested in how often a variable takes on each value.
Definition:
Distribution – tells us what values a variable takes and how often it takes those values
2009 Fuel Economy Guide
MODEL MPG
1
2
3
4
5
6
7
8
9
Acura RL 22
Audi A6 Quattro 23
Bentley Arnage 14
BMW 5281 28
Buick Lacrosse 28
Cadillac CTS 25
Chevrolet Malibu 33
Chrysler Sebring 30
Dodge Avenger 30
2009 Fuel Economy Guide
MODEL MPG <new>
9
10
11
12
13
14
15
16
17
Dodge Avenger 30
Hyundai Elantra 33
Jaguar XF 25
Kia Optima 32
Lexus GS 350 26
Lincolon MKZ 28
Mazda 6 29
Mercedes-Benz E350 24
Mercury Milan 29
2009 Fuel Economy Guide
MODEL MPG <new>
16
17
18
19
20
21
22
23
24
Mercedes-Benz E350 24
Mercury Milan 29
Mitsubishi Galant 27
Nissan Maxima 26
Rolls Royce Phantom 18
Saturn Aura 33
Toyota Camry 31
Volkswagen Passat 29
Volvo S80 25
MPG14 16 18 20 22 24 26 28 30 32 34
2009 Fuel Economy Guide Dot Plot
Variable of Interest:MPG
Dotplot of MPG Distribution
Example
+
MPG14 16 18 20 22 24 26 28 30 32 34
2009 Fuel Economy Guide Dot Plot
2009 Fuel Economy Guide
MODEL MPG <new>
9
10
11
12
13
14
15
16
17
Dodge Avenger 30
Hyundai Elantra 33
Jaguar XF 25
Kia Optima 32
Lexus GS 350 26
Lincolon MKZ 28
Mazda 6 29
Mercedes-Benz E350 24
Mercury Milan 29
2009 Fuel Economy Guide
MODEL MPG <new>
16
17
18
19
20
21
22
23
24
Mercedes-Benz E350 24
Mercury Milan 29
Mitsubishi Galant 27
Nissan Maxima 26
Rolls Royce Phantom 18
Saturn Aura 33
Toyota Camry 31
Volkswagen Passat 29
Volvo S80 25
2009 Fuel Economy Guide
MODEL MPG
1
2
3
4
5
6
7
8
9
Acura RL 22
Audi A6 Quattro 23
Bentley Arnage 14
BMW 5281 28
Buick Lacrosse 28
Cadillac CTS 25
Chevrolet Malibu 33
Chrysler Sebring 30
Dodge Avenger 30
Add numerical summaries
Data A
nalysis
Examine each variable by itself.
Then study relationships among
the variables.
Start with a graph or graphs
How to Explore Data
+Data A
nalysisFrom Data Analysis to Inference
Population
Sample
Collect data from a representative Sample...
Perform Data Analysis, keeping probability in mind…
Make an Inference about the Population.
Activity: Hiring Discrimination Follow the directions on Page 5
Perform 5 repetitions of your simulation.
Turn in your results to your teacher.
Teacher: Right-click (control-click) on the graph to edit the counts.
Class Simulation Data
1 12
4
78
6
31
0246810
0 1 2 3 4 5 6 7 8Number of Female Pilots (out of 8)
Freq
uenc
yD
ata Analysis
Statistics
Read & Question Section 1.1 (pages 8-21)•Clarifying Questions•Procedural Questions•Reflective Questions
HW: 2, 4, 5, 7, 8
+IntroductionData Analysis: Making Sense of Data
In this section, we learned that…
A dataset contains information on individuals.
For each individual, data give values for one or more variables.
Variables can be categorical or quantitative.
The distribution of a variable describes what values it takes and how often it takes them.
Inference is the process of making a conclusion about a population based on a sample set of data.
Summary
+Looking Ahead…
We’ll learn how to analyze categorical data.Bar GraphsPie ChartsTwo-Way TablesConditional Distributions
We’ll also learn how to organize a statistical problem.
In the next Section…