Formula Sheet

March 12, 2026

Formula Sheet #

This page is a quick reference of definitions + formulas, grouped by the modules.

Notation #

• Sample size: \( n \) (sample), \( N \) (population)
• Sample mean: \( \bar{x} \) , population mean: \( \mu \)
• Sample variance: \( s^2 \) , population variance: \( \sigma^2 \)
• Sample SD: \( s \) , population SD: \( \sigma \)
• Complement: \( A^c \)
• Intersection (“and”): \( A\cap B \) , union (“or”): \( A\cup B \)
• Conditional probability: \( P(A\mid B) \)

1. Basic Probability & Statistics #

1.1 Measures of Central Tendency #

Arithmetic mean #

Sample mean (ungrouped):

Stats Formula Sheet

February 25, 2026

Stats Formula Sheet #

Keep this page as a quick reference of definitions + formulas.

Notation #

• Sample size: \( n \) (sample), \( N \) (population)
• Mean: \( \bar{x} \) (sample), \( \mu \) (population)
• Variance: \( s^2 \) (sample), \( \sigma^2 \) (population)
• Standard deviation: \( s \) (sample), \( \sigma \) (population)

Module 1: Basic Statistics #

Measures of Central Tendency #

Sample mean (ungrouped):