Actual Stats Material

1
Actual Stats Material

• Finally!

2
Take a Moment to Ask Yourself

• Have I read chapter 1 yet?

3
What even is Statistics?

• As previously discussed in class, there are
  really-big-word-containing definitions out there
  on the internet.
• The practice or science of collecting and
  analyzing numerical data in large quantities,
  especially for the purpose of inferring
  proportions in a whole from those in a
  representative sample. (Google)
• Statistics is the study of the collection,
  analysis, interpretation, presentation, and
  organization of data. (Wikipedia)
• Statistics is the science of learning from data,
  and of measuring, controlling, and communicating
  uncertainty and it thereby provides the
  navigation essential for controlling the course
  of scientific and societal advances. (Amstat.org
  - which admittedly is a biased source)

4
Something Closer To Home

• Sounds a lot like control, sense, and alter
  which can apply to knowledge and to people. For
  those who do not know, those are the three
  pillars of a Jedi's use of the force. Statistics
  is the force. (Mr. Sanford - a biased source of
  information for pretty much all his information)
• We also learned that Statistics as a subject is
  something that can provide radical changes in our
  entire system of perceiving the world (known as
  paradigm shifts, btw) (paradigm is pronounced
  para-dime)
• We also learned that statistics goes beyond the
  math. It is the snickers bar which contains the
  peanuts of mathematics.
• Lets focus on what other people might say.

5
Some People Say

• Evil.
• Hard.
• I hate fat, stupid hobbits statistics.
• A tool of Satan.
• A good way to lie.
• Not even once.
• Jorbelyjorbelyjorbelyjorbely
• I had to take that class twice.
• Stats is a bad mother shut your mouth.

6
I People Say

• These people did not take stats from Mr. Sanford.
• I turn stats into a class you pass the first
  time.
• Because you understand it.
• Like a boss.
• AP Stats is the feel-good math of the year.
• You can quote me on that.

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What is AP Statistics about?

• Stuff.
• Lots of stuff.
• For now we will start with data, graphs, and
  charts.
• There will be bar charts and pie charts and
  lineplots and dotplotsstemplots and boxplots and
  Donner and Blitzen.
• Just kidding on the reindeer.

8
The Way of the Quiz

• That You Might Learn

9
Advanced Vocabulary!

• Harbinger A sign or message of what is to come,
  or else the person who delivers such a message or
  sign.
• My quizzes typically are accompanied by three
  harbingers.
• The first harbinger is the set of quiz
  bulletpoints.
• The second harbinger is the practice quiz/quiz
  review.
• The third harbinger is the lunchtime study
  session which I host to avoid loneliness.

10
English Is Fun!

• Our language is really, really fun.
• For the first two years I went to college, I was
  declared as a creative writing minor.
• Then I came to ISU, which did not have a creative
  writing minor at the time.
• Of course, they do now, but I am not bitter.
  Haha.
• The verb form of harbinger is not to harbinge
  as one might expect, but is instead to
  harbinger.
• Harbingers harbinger.

11
The 1st Harbinger

• Quiz bulletpoints are awesome!
• They have a 1-to-1 correspondence with the quiz.
• This means that if there are 5 bulletpoints
  given, it is a 5 question quiz.
• And each bulletpoint, in order, matches a
  question on that quiz.
• They allow you to focus, somewhat, your efforts
  when studying for the quiz.

12
The 2nd Harbinger

• Practice quizzes are often posted before the
  quiz.
• Sometimes this means the night before the quiz.
• I do not promise this will always occur, but it
  will happen often enough.
• Even if you do not make time to look at it,
  printing it and bringing that to the lunchtime
  session is often worth your time.

13
The 3rd Harbinger

• The lunch before a quiz (which is the day before
  the quiz if you are in first through third hour),
  I find a way to be available during as much of
  lunch as possible.
• I am there to answer questions you have about the
  quiz.
• If you are nervous about the quiz, come on in
  even if you do not have specific questions.
• You might learn things just from listening to me
  answer someone elses questions.

14
Actual Stats Material

• Finally!

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What is (are) statistics?

• Statistics is a way of reasoning designed to help
  us understand the world.
• Includes a collection of tools and methods.
• Probably the newest branch of mathematicsand
  constantly changing.
• Statistics are particular calculations made from
  data.
• Numerical summaries of data.

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Statistics

• The branch of mathematics that collects,
  analyzes, displays, and interprets data.
• The art of distilling meaning from data.
• Uncovering the story the data have to tell.
• is about variation.

17
What is Statistics?

• Statistics is a collection of tools and methods
  used to help us understand the world.
• Statistics is a scienceand is built on
  rationality.
• Statistics is an art and can require the use of
  intuition, common sense, and the concise use of
  language.

18
The New Math

• In the recent change to the common core, there
  have been a lot of people grabbing their torches
  and pitchforks in order to complain about the
  new math.
• It isnt new math. It is just taught
  differently. Same math, new teaching style.
• This new approach to the same math is exciting to
  me, because math pretty much never changes.
• I think this is part of why people are so
  nervous. It is really harshing their sense of
  security.

19
The New Math

• Geometry is still about the same topics, although
  different parts of emphasized differently, and
  there is more of a push towards solving ambiguous
  problems, the geometry itself has not changed
  primarily for over 1000 years.
• Even in AP Calculus, the material has really only
  changed in the last 50 years in the regard that
  new calculators let us do some really sweet
  stuff.
• There have been changes with more advanced
  calculus courses, mind you.

20
The New Math

• Statistics changes in a way math doesnt.
• Even at the introductory level.
• Statistics, as a field, has changed since last
  school year started.
• A major academic journal refuses to publish
  articles based on a technique which we learn
  later called hypothesis testing.
• It is still useful to learn, but it is already on
  the way out as something that will be done in
  research.

21
What is data?

• Values along with their context.
• Data is technically a plural term, although it is
  commonly misused as a singular term.
• The singular term is datum.
• Mr. Sanford is not honestly all that concerned
  with whether or not you use proper verb agreement
  with the word data.

22
Subject Verb Agreement

• Statistics (singular) refers to the science of
  Statistics.
• Statistics (plural) are summaries of data.
• Data is plural, and datum is singular.
• Mr. Sanford does not care too heavily that you
  use proper subject/verb agreement, but does want
  you to know the two meanings of Statistics and
  why they are different.

23
The Unsupporting Cast

• Includes but is not limited to

24
Unsupporting Is Not A Word

• It is, however, a critical part of the puntastic
  nature of the title slide for this section.
• You see, there are certain archetypes for people
  which, as we learn about statistics, are handy to
  be aware of.
• Some of you may even be like these archetypes.

25
Mr. Cheeseburger

• I know that it would be more appropriate to use
  Mr./Mrs./Ms., but I am confident that the
  original perpetrator was male.
• At my senior all night party there was a bouncy
  house where one could put on huge boxing gloves
  and take out some aggression on a fellow.
• The warning picture for do not eat was a
  cheeseburger. As in the picture had a visible
  layer of cheese.
• I bet there was a story.
• The best warning labels have one.

26
The Internet Agrees
27
Mr. Cheeseburger

• Mr. Cheeseburger represents both men and women
  who need instructions that are so clear and so
  specific that the rest of us do not even realize
  those instructions needed to be said.
• These people are real and they are out there.
• You need to be aware of them, because for all the
  things they do not seem to know, they always seem
  to know a good lawyer.
• And they will sue.

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More to Follow

• While this is not an exhaustive list, here are
  some other examples of the unsupporting cast for
  statistics
• The Casual Observer
• The Cave Person
• The Hasty Generalizer
• The Scientist (The quotes are meaningful)
• The Exemplar
• The Dissembler
• The Disbeliever
• The Competitive Debater
• Each of these labels have some degree of meaning
  outside of their traditional meaning.

29
Assignments

• Read Chapter 1 (if you have not already).
• Read Chapter 2
• Walk through the TI tips on p. 14
• Review Terms and Skills section on p. 15
• Read Data on the Computer on p. 16
• Prepare an answer to the following question Why
  do we talk about a statistic when we dont
  discuss a mathematic or a physic?
• As in the singular of physics, not as in medieval
  medication.
• Chapter 2 HW 2-7, 25, 26
• We have not discussed these yet, so you are
  encouraged not to start them yet.

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Quiz Bulletpoints

• Know what T-S-T stands for and what each one
  means.
• Know how to identify the 5 Ws and How in a
  study.
• Know the difference between a qualitative and
  quantitative variable.
• Know how to find percentages from a contingency
  table.
• Know the area principle.