StraighterLine Statistics Fundamentals

What You'll Learn

StraighterLine Stats Platform & Statistics Basics

Descriptive Statistics — Central Tendency

Descriptive Statistics — Variability & Spread

Data Visualization & Frequency Distributions

Probability Fundamentals

Probability Distributions

Sampling Distributions & Confidence Intervals

Hypothesis Testing

Course Curriculum 10 Modules · 77+ Lessons

StraighterLine Stats Platform & Statistics Basics

6 lessons · 40 min

StraighterLine Statistics Course Structure and Tips
What is Statistics? Descriptive vs. Inferential
Types of Data: Qualitative vs. Quantitative
Levels of Measurement: Nominal, Ordinal, Interval, Ratio
Sampling Methods: Random, Stratified, Systematic, Convenience
Module Introduction and Study Plan
Module 1 Practice Quiz

Descriptive Statistics — Central Tendency

8 lessons · 2 hrs · High-Yield

Mean: Calculating and Interpreting the Average
Median: The Middle Value and When to Use It
Mode: Most Frequent Value (Unimodal, Bimodal, Multimodal)
When to Use Mean vs. Median (Skewed vs. Symmetric Data)
Weighted Mean Calculations
The Effect of Outliers on Mean and Median
Midrange: (Max + Min) / 2
Module Practice Quiz (10 questions)
Module 2 Practice Quiz

Descriptive Statistics — Variability & Spread

8 lessons · 2.5 hrs

Range: Maximum minus Minimum
Variance: The Average Squared Deviation from the Mean
Standard Deviation: Square Root of Variance
Coefficient of Variation
Z-Scores: Standardizing Data
Chebyshev's Theorem and the Empirical Rule (68-95-99.7)
Percentiles and Quartiles (Q1, Q2, Q3)
Module Practice Quiz (15 questions)
Module 3 Practice Quiz

Data Visualization & Frequency Distributions

8 lessons · 2 hrs

Frequency Tables and Relative Frequency
Histograms: Construction and Interpretation
Bar Charts, Pie Charts, and Line Graphs
Stem-and-Leaf Plots
Box-and-Whisker Plots (Boxplots)
Scatter Plots: Visualizing Relationships
Identifying Distribution Shape: Symmetric, Skewed, Bimodal
Module Practice Quiz (10 questions)
Module 4 Practice Quiz

Probability Fundamentals

9 lessons · 2.5 hrs

Basic Probability: Classical, Empirical, Subjective
Sample Spaces, Events, and Outcomes
Addition Rule: P(A or B) = P(A) + P(B) - P(A and B)
Multiplication Rule: P(A and B) for Independent Events
Conditional Probability: P(A|B)
Complementary Events: P(not A) = 1 - P(A)
Permutations and Combinations
Expected Value
Module Practice Quiz (15 questions)
Module 5 Practice Quiz

Probability Distributions

8 lessons · 2.5 hrs

Discrete vs. Continuous Random Variables
Binomial Distribution: Conditions and Formula
Binomial Distribution: Calculating Probabilities
Normal Distribution: The Bell Curve
Standard Normal Distribution (Z-distribution)
Using Z-Tables to Find Probabilities
Normal Distribution Applications in Real Life
Module Practice Quiz (15 questions)
Module 6 Practice Quiz

Sampling Distributions & Confidence Intervals

8 lessons · 2.5 hrs

Sampling Distribution of the Sample Mean
Central Limit Theorem (CLT): The Most Important Theorem in Stats
Standard Error of the Mean
Introduction to Confidence Intervals
95% and 99% Confidence Intervals for the Mean
Margin of Error and Sample Size
Confidence Intervals for Proportions
Module Practice Quiz (10 questions)
Module 7 Practice Quiz

Hypothesis Testing

10 lessons · 3 hrs · High-Yield

What is Hypothesis Testing? Null vs. Alternative Hypothesis
Type I Error (α) and Type II Error (β)
One-Tailed vs. Two-Tailed Tests
The p-value: What It Means and How to Interpret It
Z-Test for Population Mean (known σ)
T-Test for Population Mean (unknown σ)
T-Test for Two Independent Samples
Paired T-Test
Chi-Square Test for Goodness of Fit
Module Practice Quiz (20 questions)
Module 8 Practice Quiz

Regression & Correlation Analysis

8 lessons · 2.5 hrs

Correlation: Pearson's r — Measuring Linear Relationships
Interpreting Correlation Coefficients (-1 to +1)
Simple Linear Regression: Finding the Best-Fit Line
The Regression Equation: y-hat = b0 + b1x
Interpreting Slope and Intercept
Coefficient of Determination (R²)
Making Predictions Using the Regression Equation
Module Practice Quiz (15 questions)
Module 9 Practice Quiz

Final Exam Prep & StraighterLine Credit Transfer

4 lessons · 1.5 hrs

StraighterLine Statistics Final Exam Strategy
Formula Sheet Review: Everything You Need
Full Statistics Review (35-question practice exam)
Applying Your Statistics Credits
Module 10 Practice Quiz

What's Included

Complete Study Guide

10+ Practice Questions

10+ Digital Flashcards

Expert Support

Progress Tracking

Certificate

Practice Test — 10 Questions

Full explanations provided after each answer.

20:00

Q 1 / 10

Digital Flashcards

Click any card to flip.

Study Guide & Key Concepts

Statistics Quick Reference Formulas

Mean: μ or x̄ = Σx / n    Variance (pop): σ² = Σ(x-μ)²/N    Std Dev: σ = √variance
Z-Score: z = (x - μ) / σ    SE of Mean: SE = s / √n
Confidence Interval: x̄ ± z*(s/√n)    [95% CI: z*=1.96, 99% CI: z*=2.576]
P(A or B): P(A) + P(B) - P(A and B)    P(A and B) independent: P(A)×P(B)
Regression Line: ŷ = b₀ + b₁x where b₁ = r(sy/sx)

Hypothesis Testing Steps

State H₀ and H₁: Null (no effect) and Alternative hypotheses
Set significance level: α = 0.05 (most common)
Choose test: Z-test, t-test, chi-square, etc.
Calculate test statistic: z = (x̄ - μ₀) / (σ/√n)
Find p-value: from Z-table or t-table
Decision: If p < α, reject H₀. If p ≥ α, fail to reject H₀.
Conclusion: State in context of the problem

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10+ practice questions
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