Statistics
The numbers back it up: statistics doesn't have to be hard. Learn to explain data and calculate statistics with beginner to advanced tutorials, tools, worksheets, and formulas for students and teachers.

Article
The Associative and Commutative Properties

Article
Paired Data in Statistics

Article
The Difference Between Extrapolation and Interpolation

Article
What Is Robustness in Statistics?

Article
How to Use the NORM.INV Function in Excel

Article
When Is the Standard Deviation Equal to Zero?

Article
Qualitative Data Definition and Examples

Article
The Differences Between Explanatory and Response Variables

Article
The LIPET Strategy for Integration by Parts

Article
Learn the Difference Between a Parameter and a Statistic

Article
A Introduction to Sociology Statistics

Article
Presenting Data in Graphic Form

List
7 Scary Things That Are Statistically Unlikely

Article
What Is a Population in Statistics?

Article
The Moment Generating Function of a Random Variable

Article
How to Use the RAND and RANDBETWEEN Functions in Excel

Article
What Is Normal Distribution?

Article
How to Use 'If and Only If' in Mathematics

Article
Calculations With Standard and Normal Distributions in Excel

Article
Linear Regression Analysis

Article
Lambda and Gamma as Defined in Sociology

Article
Definition of Bimodal in Statistics

Article
ChiSquare Functions in Excel

Article
Understanding Levels and Scales of Measurement in Sociology

Article
The Number Pi: 3.14159265...

Article
Index of Qualitative Variation

Article
What Is Quantitative Data?

Article
Correlation Analysis in Research

Article
What Are De Morgan's Laws?

Article
How to Find the Inflection Points of a Normal Distribution

Article
What Is the Plural of Data?

Article
What Is the Negative Binomial Distribution?

Article
Analysis of Variance (ANOVA): Definition and Examples

Article
Unbiased and Biased Estimators

Article
What Are the Converse, Contrapositive, and Inverse?

Article
How to Do Hypothesis Tests With the Z.TEST Function in Excel

Article
Functions with the TDistribution in Excel

Article
Use of the Moment Generating Function for the Binomial Distribution

Article
Maximum and Inflection Points of the Chi Square Distribution

Article
What Is the Skewness of an Exponential Distribution?

Article
How to Use the BINOM.DIST Function in Excel

Article
How to Prove De Morgan's Laws

Article
What Is a Real Number?

Article
What Is a Converse Error?

Article
What Is a Scatterplot?

Article
Confidence Intervals And Confidence Levels

Article
How to Use the STDEV.S Function in Excel

Article
What Is the Cauchy Distribution?

Article
KURT Function for Kurtosis in Excel

Article
Math Formulas

Article
What Is Ecological Correlation?

Article
Variance and Standard Deviation

Article
What Is the Power Set?

List
Calculate Probabilities with A Standard Normal Distribution Table

Article
What Is Statistical Sampling?

Article
How to Calculate a Sample Standard Deviation

Article
Differences Between Population and Sample Standard Deviations

Article
Facts About the Number e: 2.7182818284590452...

Article
Differences Between Probability and Statistics

Article
Correlation and Causation in Statistics

Article
The Levels of Measurement in Statistics

Article
Example of a ChiSquare Goodness of Fit Test

Article
Hypothesis Test for the Difference of Two Population Proportions

Article
An Introduction to the Bell Curve

Article
Overview of Simpson's Paradox in Statistics

Article
ChiSquare Goodness of Fit Test

Article
The Difference Between Simple and Systematic Random Sampling

List
Microsoft Access 2003 Tutorial for Creating Forms

Article
Histogram Classes

Article
What Is a Histogram?

Article
Examples of Zscore Calculations

Article
Types of Samples in Statistics

Article
Understanding Statistics

Article
How to Back up a Microsoft Access Database

Article
Install Microsoft Access 2013

Article
Simple Random Samples From a Table of Random Digits

Article
How to Make a Stem and Leaf Plot

List
How to Create a Database from Scratch in Access 2007

List
How to Split an Access 2010 Database into FrontEnd/BackEnd Components

Article
What Are Inner and Outer Fences?

Article
Convenience Sample Definition and Examples in Statistics

Article
Example of Two Sample T Test and Confidence Interval

Article
Relative Frequency Histograms

Article
Converting an Access Database to SQL Server

Article
Tallies and Counts in Statistics

Article
What Is Correlation in Statistics?

Article
How Bar Graphs Are Used to Display Data

Article
What Is the Median?

List
Microsoft Access UserLevel Security Tutorial

Article
An Introduction to Hypothesis Testing

Article
What Are Pie Charts and Why Are They Useful?

Article
What Is the Standard Normal Distribution?

List
Creating an Access 2013 Database From Scratch

Article
What Is a Systematic Sample?

List
How to Make a Boxplot

List
Creating Forms in Microsoft Access 2010

Article
Hypothesis Test Example

Article
How To Add a Date or Time Stamp to an Access 2010 Database Table

Article
How to Install Microsoft Access 2010

Article
How to Conduct a Hypothesis Test

Article
What Is a PValue?

Article
What Is a Table of Random Digits in Statistics?

Article
Calculating ZScores in Statistics

Article
Worksheet for Chebyshev's Inequality

Article
Challenging Counting Problems and Solutions

Article
Probability of the Union of Three or More Sets

List
Margin of Error Formula for Population Mean

Article
Sum of Squares Formula Shortcut

Article
How to Calculate the Variance of a Poisson Distribution

Article
Standard Normal Distribution in Math Problems

Article
Exponential Distribution Medians

Article
How Many Elements Are in the Power Set?

Article
The Formula for Expected Value

Article
Examples of Uncountable Infinite Sets

List
The Formula for ChiSquare Statistic

Article
ZScores Worksheet

Article
Using the Standard Normal Distribution Table

Article
Levels of Measurement Worksheet With Solutions

Article
How to Derive the Formula for Combinations

List
Formula for the Normal Distribution or Bell Curve

List
Student's t Distribution Formula

Article
Binomial Table for n= 10 and n=11

Article
What Courses Do You Need to Take for a Statistics Degree?

Article
Binomial Table for n=7, n=8 and n=9

Article
Binomial Table for n = 2, 3, 4, 5 and 6

Article
Addition Rules in Probability

Article
Calculations With the Gamma Function

Article
Worksheet on Combinations and Permutations

List
ZScore Formula

Article
Student t Distribution Table

Article
Expected Value of a Binomial Distribution

Article
Probability Distribution in Statistics

Article
Definition and Examples of a Sample Space in Statistics

Article
Probabilities for Rolling Two Dice

Article
Multiplication Rule for Independent Events

Article
The Features of a Standard Deck of Cards

Article
How to Calculate the Expected Value

Article
What Are Probability Axioms?

Article
Probability of Going to Jail in Monopoly

Article
When Do You Use a Binomial Distribution?

Article
What Is the Difference of Two Sets in Set Theory?

Article
Why Does Zero Factorial Equal One?

Article
The Probability of Rolling a Yahtzee

Article
What Is Chebyshev's Inequality?

Article
The Probability of a Full House in Yahtzee in a Single Roll

Article
What Is Conditional Probability?

Article
Set Theory

Article
Using Conditional Probability to Compute Probability of Intersection

Article
Probabilities for Rolling Three Dice

Article
How to Use the Normal Approximation to a Binomial Distribution

Article
How Are Odds Related to Probability?

Article
Probability and Punnett Squares in Genetics

Article
Understanding the Factorial (!) in Mathematics and Statistics

Article
Understanding the Importance of the Central Limit Theorem

Article
The Meaning of Mutually Exclusive in Statistics

Article
What Is the Probability of a Flush

Article
Understanding the Definition of Symmetric Difference

Article
The Normal Approximation to the Binomial Distribution

Article
The Difference Between Combinations and Permutations

Article
What Is a Uniform Distribution?

Article
Uniform in Probability

Article
What Is Markov's Inequality?

Article
How to Succeed in Statistics and Math Classes

Article
What Is the Probability of Randomly Choosing a Prime Number?

Article
Probabilities for Dihybrid Crosses in Genetics

Article
Probabilities in the Game Monopoly

Article
How to Prove the Complement Rule in Probability

Article
How to Calculate Expected Value in Roulette

Article
What Is the Empty Set in Set Theory?

Article
What Is the FDistribution?

Article
Probabilities and Liar's Dice

Article
Sampling With or Without Replacement

Article
What Is the Intersection of Two Sets?

Article
What Is the Gamma Function?

Article
What Is a SigmaField?

Article
The Probability of a Large Straight in Yahtzee in a Single Roll

Article
The Complement Rule

Article
How to Calculate Powerball Probabilities

List
How to Use a Tree Diagram for Probability

Article
What Is the Probability You Just Inhaled a Part of Lincoln's Last Breath?

Article
ChiSquare Activity With Candy

Article
How to Calculate Backgammon Probabilities

Article
Definition and Usage of Union in Mathematics

Article
Probability of a Small Straight in Yahtzee in a Single Roll

Article
Expected Value for ChuckaLuck

Article
Definition of a Percentile in Statistics and How to Calculate It

Article
Calculating the Correlation Coefficient

Article
Range Rule for Standard Deviation

Article
What Is Skewness in Statistics?

Article
What Are the Maximum and Minimum?

Article
What Is a Range in Statistics?

Article
How to Classify the Kurtosis of Distributions

Article
The Slope of the Regression Line and the Correlation Coefficient

Article
What Is the Interquartile Range Rule?

Article
What Are Moments in Statistics?

Article
What Is a TwoWay Table of Categorical Variables?

Article
What Is the Midhinge?

Article
Descriptive vs. Inferential Statistics

Article
Empirical Relationship Between the Mean, Median, and Mode

Article
What Are Time Series Graphs?

Article
How Are Outliers Determined in Statistics?

Article
Frequencies and Relative Frequencies

Article
Make a Histogram in 7 Simple Steps

Article
What Are the First and Third Quartiles?

Article
Understanding the Interquartile Range in Statistics

Article
What Is a Least Squares Line?

Article
Calculating the Mean Absolute Deviation

Article
What Are Residuals?

Article
What Is the 5 Number Summary?

Article
Understanding Quantiles: Definitions and Uses

Article
Variance and Standard Deviation

Article
Plus Four Confidence Intervals

Article
Null Hypothesis and Alternative Hypothesis

Article
How to Construct a Confidence Interval for a Population Proportion

Article
The Difference Between Type I and Type II Errors in Hypothesis Testing

Article
How to Find Degrees of Freedom in Statistics

Article
Explore Maximum Likelihood Estimation Examples

Article
Examples of Confidence Intervals for Means

Article
An Example of a Hypothesis Test

Article
Confidence Intervals: 4 Common Mistakes

Article
How to Calculate the Margin of Error

Article
What 'Fail to Reject' Means in a Hypothesis Test

Article
What Is a Sampling Distribution

Article
Parametric and Nonparametric Methods in Statistics

Article
Example of an ANOVA Calculation

Article
Degrees of Freedom in Statistics and Mathematics

Article
The Runs Test for Random Sequences

Article
What Is the Difference Between Alpha and PValues?

Article
What Level of Alpha Determines Statistical Significance?

Article
How to Find Critical Values with a ChiSquare Table

Article
What Is ANOVA?

Article
The Use of Confidence Intervals in Inferential Statistics

Article
Type I and Type II Errors in Statistics

Article
How Large of a Sample Size Do Is Needed for a Certain Margin of Error?

Article
Calculate a Confidence Interval for a Mean When You Know Sigma

Article
Example of Confidence Interval for a Population Variance

Article
An Example of ChiSquare Test for a Multinomial Experiment

Article
Degrees of Freedom for Independence of Variables in TwoWay Table

Article
Confidence Interval for the Difference of Two Population Proportions

Article
Example of a Permutation Test

Article
Calculating a Confidence Interval for a Mean

Article
March Madness Statistics

Article
Millions, Billions, and Trillions

Article
What Is Bootstrapping in Statistics?

Article
An Introduction to Queuing Theory

Article
Leap Day Statistics

Article
What Is the St. Petersburg Paradox?

Article
The Probability of Being Dealt a Royal Flush in Poker

Article
Sten Scores and Their Use in Rescaling Test Scores

Article
What Is a Double Blind Experiment?

Article
Example of Bootstrapping

Article
Groundhog Day Statistics

Article
What Are the Odds of Winning the Lottery?

Article
Stanine Score Example

Article
Statistics and Political Polls

Article
What Is a Placebo?

Article
Statistics Related to Father's Day