Archived Semester
MATH 256: Probability & Statistics I — Summer 2026
An introduction to probability theory and statistical inference, covering descriptive statistics, probability distributions, sampling, and hypothesis testing. Prerequisite: MATH 115 or equivalent.
Section Summer 2026
General Information
Class began May 26, 2026, ended July 17, 2026.
Syllabus: MATH 256-01W Summer 2026 (.docx)
Textbook: Triola, M.F. (2023). MyLab Statistics for Essentials of Statistics (7th ed.). New York, NY: Pearson Addison-Wesley.
Other resources: LibreTexts — Introductory Statistics, OpenStax — Introductory Statistics 2e, and free statistical tools including Statdisk Online, Excel, Google Sheets, R, Python, and JASP.
Lecture Notes by Topic
GoodNotes links — opens in the GoodNotes app or web viewer.
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Introduction: Why Learn Statistics?
Chapter 1
Chapter 2
Notes
2.1 Frequency Distributions for Organizing and Summarizing Data
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Video
Using Statdisk to Construct a Frequency Distribution and Histogram YouTube
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Video
Using Excel to Construct a Frequency Distribution YouTube
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Notes
2.2 Histograms (by publisher)
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Video
Using Excel to Construct Histograms YouTube
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Video
Using the TI-83/84 to Construct a Frequency Distribution and Histogram YouTube
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Notes
2.3 Graphs That Enlighten and Graphs That Deceive (by publisher)
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Notes
2.4 Scatterplots, Correlation, and Regression (by publisher)
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Video
Using Statdisk to Construct a Scatterplot YouTube
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Video
Using Excel to Construct a Scatterplot YouTube
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Video
Using the TI-83/84 to Construct a Scatterplot YouTube
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Video
Using Statdisk to Determine Linear Corr. Coeff. & Regression Equation YouTube
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Video
Using Excel to Determine the Correlation Coeff. & Regression Equation YouTube
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Chapter 3
Notes
3.1 Measure of Center
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Video
How to Find Mean, Median, Mode, and Range Using TI-84 Plus CE YouTube
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Video
Using the TI-83/84 to Find Descriptive Statistics YouTube
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Video
Using Statdisk to Find Descriptive Statistics YouTube
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Notes
3.2 Measure of Variation
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Web
Unbiased Estimator for Population Variance, Clearly Explained
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Video
How to Calculate Variance in Excel (Sample and Population) YouTube
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Notes
3.3 Measure of Relative Standing and Boxplots
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Video
Using Statdisk to Construct Boxplots YouTube
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Video
Using the TI-83/84 to Construct Boxplots YouTube
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Chapter 4
Notes
4.1 Basic Concepts of Probability
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Notes
4.2 Addition Rule and Multiplication Rule
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Notes
4.3 Complements, Conditional Probability, and Bayes' Theorem
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Notes
4.4 Counting
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Video
Using Excel to Calculate Factorials, Permutations and Combinations YouTube
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Video
Using the TI-83/84 for Factorials, Permutations and Combinations YouTube
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Chapter 5
Notes
5.1 Probability Distributions
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Video
Using the TI-83/84 for a Probability Distribution YouTube
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Notes
5.2 Binomial Probability Distributions
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Video
Using Statdisk to Compute Binomial Probabilities YouTube
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Video
Calculate Binomial Probability with TI-84 Plus/Plus CE YouTube
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Video
Using Excel to Compute Binomial Probabilities YouTube
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Notes
5.3 Poisson Probability Distributions
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Chapter 6
Notes
6.1 The Standard Normal Distribution
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Video
Using Statdisk for Finding a z Score from a Known Area YouTube
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Video
Using Statdisk to Find a Normal Distribution Area YouTube
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Video
Using Excel for Finding a z Score from a Known Area YouTube
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Video
Using Excel to Find Normal Distribution Area YouTube
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Notes
6.2 Real Applications of Normal Distributions
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Notes
6.3 Sampling Distribution and Estimators
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Sheet
The Game of "Roll a Die 5 Times"
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Notes
6.4 The Central Limit Theorem
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Notes
6.5 Assessing Normality
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Video
Using Statdisk to Construct a Normal Quantile Plot YouTube
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Video
Using Excel to Construct a Normal QQ Plot YouTube
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Notes
6.6 Normal as Approximation to Binomial
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Chapter 7
Notes
7.1 Estimating a Population Proportion
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Video
Using Statdisk to Construct a Conf. Interval Estimate of Population Proportion YouTube
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Video
Using Excel to Construct a Conf. Interval of a Population Proportion YouTube
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Video
Using the TI-83/84 to Construct a Conf. Interval Estimate of Pop. Proportion YouTube
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Notes
7.2 Estimating a Population Mean
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Video
Using Statdisk to Construct a Conf. Interval of Population Mean YouTube
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Video
Using Excel to Construct a Confidence Interval of Population Mean YouTube
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Video
Using the TI-83/84 to Construct a Confidence Interval Estimate of a Pop. Mean YouTube
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Notes
7.3 Estimating a Population Standard Deviation or Variance
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Chapter 8
Notes
8.1 Basics of Hypothesis Testing
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Notes
8.2 Testing a Claim About a Proportion
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Video
Using Statdisk to Test a Claim About a Population Proportion YouTube
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Notes
8.3 Testing a Claim About a Mean
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Video
Using Statdisk to Test a Claim About a Population Mean YouTube
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Notes
8.4 Testing a Claim About a Standard Deviation or Variance
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Video
Using Statdisk to Test a Claim About a Population Std Dev or Variance YouTube
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