## Validating Data Generating Processes

#### Aligned To Common Core Standard:

**High School Statistics** - HSS-IC.A.2

What are Data Generating Processes? When you are trying to perform data analysis, you need to consider a sample population for forecasting procedures. In such circumstances, data-generating procedures get taken into consideration. Firstly, you need to know what the population is. Population is the set of elements that can be taken as a statistical analysis to determine whether an element belongs to any population or not. In fact, in most cases, you don't know the population, and then we use joint probability distribution. From the distribution, the statistician takes out a finite set of observations from those populations. The original purpose of statistical analysis is to get information from the population sample taken from the probability distribution. These worksheets and lessons help students learn to be critical of the data they are reviewing and how that data was collected and processed.

### Printable Worksheets And Lessons

- Coin Flipping Step-by-step Lesson- Some parts of the world refer to a coin flip as a spin. I thought I would try it out.
- Guided Lesson - We try to determine if you can model a given circumstance.
- Guided Lesson Explanation - I didn't know how to explain number three well, other than because.
- Practice Worksheet - Here is a good work out for your brain.
- Can These Be Design Models Worksheet - It seems simple enough, just read it carefully.

#### Homework Sheets

Lots of coins, dice, and spinners in here.

- Homework 1 - 8 flips is a very small sample size. When the sample sizes are small we cannot question models, theories or laws. When the data is large which go against the model we can question the model theory or law.
- Homework 2 - Mia rolls the dice 5 times in row and each time it lands on the same number. Does this make you question the model of probability for die?
- Homework 3 - Yes, models can be generated for all types of probability based scenarios.

#### Practice Worksheets

We add real world problems and a deck of cards. Why not?

- Practice 1 - On a game show, a prize wheel is spun to win a prize. The wheel has 12 equally sized prize areas. A different prize is in each area. Over the last 200 spins, 15% of the time the time the same prize was landed on. Would this make you question model that is being presented to you?
- Practice 2 - A die is rolled and a coin is tossed. What is the probability that the die shows an odd number and the coin shows a heads?
- Practice 3 - A card is drawn 200 times from a deck of cards. The King of Hearts appears 5 times. Does this make you question the model of the experiment?

#### Math Skill Quizzes

I stuck with the very traditional problems here.

- Quiz 1 - The probability of getting 6 questions right on a math test. You are answering randomly and the test is multiple choice with four answers.
- Quiz 2 - A local lottery states that the probability of winning is 0.00014. The lottery drawing took place 4 times. Over 10,000 were purchased and no one won. Do you feel the probability of lottery winners is flawed?