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# An Introduction to Statistics - Math Textbook and Activities

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1 MB|76 pages
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I share An Introduction to Statistics because as a teacher with limited resources and time, I found myself in a predicament and there might be other teachers who find themselves in a similar predicament.

I had a textbook that only contained one chapter of statistics and a curriculum that expected a semesters worth. What to do? Hunt online for worksheets? Photocopy textbooks I owned?

I find it is easier to write what you envisioned than to hunt for hours for something compatible, because in the end, your book would tie it all together for easy future reference.

Here you have today my very own collection of resources I obtained on my hunt to create the necessary resources I needed to teach the course I envisioned it to be.

The following lessons are presented:
Lesson 1 Levels of Data Measurement
Lesson 2 Displaying Data with Charts
Lesson 3 Displaying Data with Graphs
Lesson 4 Types of Statistical Sampling
Lesson 5 Measuring the Center
Lesson 6 Law of Averages: Types of Means
Lesson 7 Measures of Dispersion
Lesson 8 Normal Distribution
Lesson 9 Measurements of Position: Quartiles & Boxplots
Lesson 10 Measurements of Position: Z-Scores
Lesson 11 What does the Area under the Gaussian Curve Represent?
Lesson 12 Basic Probabilities
Lesson 13 Conditional Probability
Lesson 14 Permutation vs Combination
Lesson 15 Odds
Lesson 16 Expected Value
Lesson 17 Simulating Experiments
Lesson 18 Binomial Distributions
Lesson 19 Approximating Binomial with Normal
Lesson 20 Margin of Error
Lesson 21 Confidence Intervals
Lesson 22 Other Discrete Distributions: Student t, Poisson & Hypergeometric
Lesson 23 Other Continuous Distributions: Lorentzian & Voigt
Lesson 24 Central Limit Theorem
Lesson 25 Scatterplots & Correlations
Lesson 26 Least Squares Regression
Lesson 27 Hypothesis Testing
Lesson 28 More on Hypothesis Testing
Lesson 29 Inferences from Two Samples

You will find my sources cited at the end of my book and Answer Keys for student lessons are also provided.
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76 pages
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