Descriptive Statistics, Probability Models, Discrete Distributions, Normal Distributions, and Central Limit Theorem

What you will learn

Perform descriptive statistics on the calculator

Work with discrete models on the calculator

Work with discrete distributions including binomial and Poisson on the calculator

Work with normal distributions on the calculator

Work with the Central Limit Theorem on the calculator

Work with regression topics on the calculator

Description

This course is meant to give the learner a solid foundation in the Casio fx-9750GII for success in a Statistics course.  Statistics (by hand) was the hardest course that I took in college.  The formulas are not hard but if you give me 20 sets of numbers to add together (for example) then I will transpose numbers at some point.  My instructor did not give partial credit on tests so my tests were quite low.  I managed to get a C in the course.  I started teaching statistics in the same manner that I learned it…by hand!  The college where I worked started indicating that I should be using technology and I have fully embraced it for statistics ever since.  It takes the mundane calculations out of the topics and allows the students to focus on the meaning of the topics.

The Casio fx-9750GII calculator has reduced the difficulty of Statistics by perhaps 75% from the “Dark Ages” of taking Statistics!  The usage of these calculators has not lowered the rigor but allows students to focus more on the applications and challenging parts of the course.  Students no longer have to do some of the mundane mathematical calculations.

This course covers descriptive statistics, probability models, discrete distributions (binomial and Poisson), normal distributions, and the Central Limit Theorem.  These are not the only important topics but with limited time, I chose these items for this course.  In this course, the Casio fx-9750GII calculator is covered.  Many students come into a statistics class that requires a TI-83 or TI-84 and they are quite lost in the course.  The Casio is radically different than the TI-83 or TI-84.  The buttons and menus are not the same and cannot easily be found by most students.


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Technology has become an important component of mathematics.  Even if you are in a class that does not allow a Casio fx-9750GII calculator, you can use it to double-check your work by hand.

This course covers just the important parts of the Casio fx-9750GII calculator for usage in Statistics.  There are many other features that are not covered.  If you decide to take the course, good luck with it and the future statistics course that you are planning on taking!

English
language

Content

Introduction

Introduction
Overview of the Casio fx-9750GII for Statistics

Descriptive Statistics

How to Input Data
Finding Sample or Population Mean
Finding Median (Even Count)
Finding Median (Odd Count)
Determining if Mean or Median is Better Measure
Finding Sample Standard Deviation
Finding Sample Variance
Finding Population Standard Deviation
Finding Population Variance
Finding Range
Finding Sample Coefficient of Variation
Finding Mean of Frequency Distribution
Finding Standard Deviation and Variance of Frequency Distribution
Finding the Quartiles
Finding the InterQuartile Range (IQR)
Finding the Lower Fence and Upper Fence; Then Determine Outliers
Finding the Five Number Summary
Drawing the Box Plot

Regression

Creating a Scatter Diagram (aka Scatter Plot)
Finding the Linear Correlation Coefficient (r)
Finding the Least Squares Regression Equation
Using the Regression Equation for Predictions
Finding Coefficient of Determination

Counting and Probability Models

Finding Factorials
Finding Permutations
Finding Combinations
Finding the Mean of a Probability Model
Finding the Standard Deviation and Variance of a Probability Model

Discrete Distributions

Binomial Distribution Examples
Poisson Distribution Examples

Normal Distributions

Finding Area or Probability – Standard Normal Examples
Finding Z Scores for Standard Normal Distributions
Finding the Probability and Values for Normal Distributions
Finding the Probability Using Normal as an Approxiation to Binomial
Central Limit Theorem