Data Analysis - Vista Peak Prep Math

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Video: 10 Extraordinary Statistics

http://www.youtube.com/watch?v=BE54mDs6St4&saf ety_mode=true&persist_safety_mode=1&safe=active

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The AP Exam 

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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.

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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.

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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.

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My hope is that you will be successful in this course and earn a passing score on the AP Exam

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My expectation is that you will put for the effort necessary to be successful in a college-level course.

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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?

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Steps:

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Try with your bag of M&Ms (no kissing!)

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Count the number of green out of 5

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Put your results on your dotplot

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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

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Quick Anonymous Survey Please complete on notecard: 1.

Gender

2.

Height in inches

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Highest ACT score

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GPA

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Number of pairs of shoes you own

6.

Fastest speed you have driven

7.

Year of the car you drive

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Months of longest dating relationship

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Chapter 1: Exploring Data Introduction Data Analysis: Making Sense of Data The Practice of Statistics, 4th edition - For AP* STARNES, YATES, MOORE

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Chapter 1 Exploring 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

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Introduction Data Analysis: Making Sense of Data Learning Objectives After this section, you should be able to… 

DEFINE “Individuals” and “Variables”

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DISTINGUISH between “Categorical” and “Quantitative” variables

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DEFINE “Distribution”

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DESCRIBE the idea behind “Inference”

 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.

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is the science of data.

Data Analysis

 Statistics

Definition: Distribution – tells us what values a variable takes and how often it takes those values

Data Analysis

generally takes on many different values. In data analysis, we are interested in how often a variable takes on each value.

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 A variable

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

Population Sample

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From Data Analysis to Inference

Collect data from a representative Sample... Make an Inference about the Population. Perform Data Analysis, keeping probability in mind…

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Discrimination?!?!?!?

+ 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?)

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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.

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Plot your data on the number line on the board

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What can we conclude?

Data Analysis

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Introduction Data Analysis: Making Sense of Data Summary In this section, we learned that… 

A dataset contains information on individuals.

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For each individual, data give values for one or more variables.

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Variables can be categorical or quantitative.

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The distribution of a variable describes what values it takes and how often it takes them.

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Inference is the process of making a conclusion about a population based on a sample set of data.

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Looking Ahead…

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