Applied Probability and Statistics
C955 Formulas and Key Concepts
This summary of the formulas and key concepts is intended to supplement
the MindEdge textbook and should not be treated as a replacement.
(Please use this document to help you review material, not to learn it in the
first place.)
Table of Contents
Module 1: Basic Numeracy & Calculation Skills ..................................... 2
Module 2: Fractions, Decimals, & Percentages....................................... 3
Module 3: Basic Algebra........................................................................... 4
Module 4: Descriptive Statistics for a Single Variable ............................ 5
Module 5: Descriptive Statistics for Two Variables .............................. 10
Module 6: Correlation & Regression ...................................................... 12
Module 7: Probability .............................................................................. 15
,Module 1: Basic Numeracy & Calculation Skills
Intervals: Pages 1.05-1.05.1
An open circle denotes that the value is not to be included.
o Example for “Less Than”
–4 –3 –2 –1 0 1 2 3 4 5
o Example for “Greater Than”
–4 –3 –2 –1 0 1 2 3 4 5
A closed circle means that the value is included.
o Example for “Less Than or Equal To”
–4 –3 –2 –1 0 1 2 3 4 5
o Example for “Greater Than or Equal To”
–4 –3 –2 –1 0 1 2 3 4 5
Sign rule for multiplication and division: Page 1.08
Multiplying the same signs will result in a positive number
o ➕×➕= ➕
o ➖×➖= ➕
Multiplying different signs will result in a negative number
o ➖×➕= ➖
o ➕×➖= ➖
Order of Operations: Pages 1.12-1.13
Remember the acronym PEMDAS
o Parentheses
o Exponents
o Multiplication or Division (Left to Right)
o Additions or Subtraction (Left to Right)
2
, Module 2: Fractions, Decimals, & Percentages
Converting Decimals, Fractions, and Percentages: Page 2.14
Decimals, Fractions, and Percentages are just different ways of
showing the same value
1
o = 0.25 = 25%
4
Unit Conversions: Pages 2.15-2.15.3
(only the most common; a complete list can be found in MindEdge on page
2.15)
Common Unit Conversions for Household Measures of Volume:
o 1 tablespoon = 3 teaspoons
o 1 fluid ounce = 2 tablespoons
o The conversions involving one gallon can be visualized below:
Common Metric Conversions:
o 1 L = 1000 mL
o 1 kg = 1000 g
o 1 g = 1000 mg (milligrams)
3