Data Analysis - Vista Peak Prep Math
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Video: 10 Extraordinary Statistics
The AP Exam
3 Hours; 40 Multiple Choice Questions, 5 Free-Response, 1 “Investigative Task”
You CAN be successful on this exam IF you put forth the effort ALL YEAR LONG. ▫
I will provide you with LOTS of preparation materials, as well as insight from the grading of the exam.
I need you to provide the effort
You are REQUIRED to take the AP exam. This promises you at least a C the last quarter. If you don’t for some reason, be prepared.
To Sum It All Up… •
My goal is for you to understand statistics and how it plays a role in your current and future life.
My hope is that you will be successful in this course and earn a passing score on the AP Exam
My expectation is that you will put for the effort necessary to be successful in a college-level course.
The Story: My boyfriend gave me some M&Ms. Then he wanted to play a game. He wanted to randomly pull out some M&Ms and if they were green, I had to give him a kiss. He pulled out 5 M&Ms and 3 of them were green!! Could this happen or was he tricking me?
Try with your bag of M&Ms (no kissing!)
Count the number of green out of 5
Put your results on your dotplot
Was I tricked? How do you know? So
what is statistics: Amount of Variation is random but not unexplainable Unlikely can happen but unusual or maybe unusual is unlikely
Quick Anonymous Survey Please complete on notecard: 1.
Height in inches
Highest ACT score
Number of pairs of shoes you own
Fastest speed you have driven
Year of the car you drive
Months of longest dating relationship
Chapter 1: Exploring Data Introduction Data Analysis: Making Sense of Data The Practice of Statistics, 4th edition - For AP* STARNES, YATES, MOORE
Chapter 1 Exploring Data
Data Analysis: Making Sense of Data
Analyzing Categorical Data
Displaying Quantitative Data with Graphs
Describing Quantitative Data with Numbers
Introduction Data Analysis: Making Sense of Data Learning Objectives After this section, you should be able to…
DEFINE “Individuals” and “Variables”
DISTINGUISH between “Categorical” and “Quantitative” variables
DESCRIBE the idea behind “Inference”
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.
is the science of data.
Definition: Distribution – tells us what values a variable takes and how often it takes those values
generally takes on many different values. In data analysis, we are interested in how often a variable takes on each value.
Examine each variable by itself. Then study relationships among the variables. Start with a graph or graphs
Add numerical summaries
+ Data Analysis
How to Explore Data
+ Data Analysis
From Data Analysis to Inference
Collect data from a representative Sample... Make an Inference about the Population. Perform Data Analysis, keeping probability in mind…
+ Hiring Discrimination? An
airline has just finished training 25 junior pilots – 15 male and 10 female – to become captains. Unfortunately only 8 captain positions are available right now. Airline managers announce that they will use a lottery process to determine which pilots will fill the available positions. The names of all 25 pilots will be written on identical slips of paper, placed in a hat, mixed thoroughly, and drawn out one at a time until all 8 captains have been identified.
+ Hiring Discrimination? A day
later, managers announce the results of the lottery. Of the 8 captains chosen, 5 are female and only 3 are male. Some of the male pilots who were not selected suspect that the lottery was not carried out fairly. One of the pilots knows that you are taking a statistics class, and comes to you for advice. You offer to consult with your classmates and get back to him.
+ Hiring Discrimination?
The Key Question: Could these results have happened just by chance? (That is, without any discrimination?)
To find out… simulation Take index cards; cut in half; create 15 male and 10 female cards. Without looking, remove slips of paper one at a time until 8 “people” have been chosen. Count the number of female pilots selected. Record the value. Return the pieces of paper to the bag and mix them up. Repeat the process 4 more times for a total of 5 trials.
Activity: Hiring Discrimination Perform 5 repetitions of your simulation.
Plot your data on the number line on the board
What can we conclude?
Introduction Data Analysis: Making Sense of Data Summary 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.
In the next Section… We’ll learn how to analyze categorical data. Bar Graphs Pie Charts Two-Way Tables Conditional Distributions We’ll also learn how to organize a statistical problem.
Now complete CYU and HW- due tomorrow