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Introductory Statistics Exam - Cheatsheet

Ernst Mendoza
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Section 1

Introductory Statistics Exam - Cheatsheet

STUDY GUIDE

๐ŸŽ“ Introductory Statistics Exam - Study Guide

๐Ÿ“‹ Course Structure

๐Ÿ“– Chapter 1: Basics of Statistics and Terminology

What this chapter covers:

๐Ÿ”‘ Essential Concepts & Formulas

๐Ÿ› ๏ธ Problem Types

Type A: Identifying Parameter vs. Statistic

Type B: Classifying Variables

๐Ÿงฎ Solved Example

Problem:

Given:

Final Answer
Solution:

Answer:

โš ๏ธ

โŒ Mistake 1: Confusing Parameter and Statistic โœ… How to avoid:

โŒ Mistake 2: Incorrectly Classifying Variables โœ… How to avoid:

๐Ÿฆ

Use acronyms like "PPOP" (Parameter = Population) and "SSTA" (Statistic = Sample) to remember the difference between parameters and statistics.

๐Ÿ“– Chapter 2: Data Organization and Visualization

What this chapter covers:

๐Ÿ”‘ Essential Concepts & Formulas

๐Ÿ› ๏ธ Problem Types

Type A: Creating a Bar Chart

Type B: Creating a Histogram

๐Ÿงฎ Solved Example

Problem:

Given:

Final Answer
Solution:

Answer:

โš ๏ธ

โŒ Mistake 1: Using a Pie Chart for Too Many Categories โœ… How to avoid:

โŒ Mistake 2: Not Labeling Axes Correctly โœ… How to avoid:

๐Ÿฆ

Remember that "Histograms have touching bars" to distinguish them from bar charts.

๐Ÿ“– Chapter 3: Numeric Descriptive Measures

What this chapter covers:

๐Ÿ”‘ Essential Concepts & Formulas

๐Ÿ› ๏ธ Problem Types

Type A: Calculating Mean, Median, and Mode

Type B: Calculating Standard Deviation

๐Ÿงฎ Solved Example

Problem:

Given:

Final Answer
Solution:

Answer:

โš ๏ธ

โŒ Mistake 1: Calculating Variance with n instead of n-1 for samples โœ… How to avoid:

โŒ Mistake 2: Forgetting to take the square root for standard deviation โœ… How to avoid:

๐Ÿฆ

Remember the order: "Range, Variance, Standard Deviation" - each builds upon the previous calculation.

๐Ÿ“– Chapter 4: Simple Linear Regression and Correlation

What this chapter covers:

๐Ÿ”‘ Essential Concepts & Formulas

๐Ÿ› ๏ธ Problem Types

Type A: Calculating Correlation Coefficient

Type B: Determining Regression Equation

๐Ÿงฎ Solved Example

Problem:

Given:

Final Answer
Solution:

Answer:

โš ๏ธ

โŒ Mistake 1: Confusing Correlation with Causation โœ… How to avoid:

โŒ Mistake 2: Extrapolating Beyond the Data Range โœ… How to avoid:

๐Ÿฆ

Visualize the scatter plot first to get a sense of the relationship before calculating r and the regression equation.

๐Ÿ“– Chapter 6: Discrete Probability Distributions

What this chapter covers:

๐Ÿ”‘ Essential Concepts & Formulas

๐Ÿ› ๏ธ Problem Types

Type A: Calculating Binomial Probability

Type B: Calculating Poisson Probability

๐Ÿงฎ Solved Example

Problem:

Given:

Final Answer
Solution:

Answer:

โš ๏ธ

โŒ Mistake 1: Using Binomial Distribution when Trials are Dependent โœ… How to avoid:

โŒ Mistake 2: Incorrectly Identifying ฮป for Poisson Distribution โœ… How to avoid:

๐Ÿฆ

Remember "Binomial for Binary (Success/Failure)" and "Poisson for Point Events (over time/space)".

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