 # Introduction to Mathematical Statistics

Need help in Math Statistics?

What is Math Statistics? The study of math statistics includes the collection, analysis, presentation and interpretation of data. When data is collected, summarized and represented as graphs, we can look for trends and try to make predictions based on these facts.

This series of lessons will cover: Collecting and summarizing data, Common ways to describe data, Different ways to represent data, Frequency Tables, Cumulative Frequency, More advanced Statistics, Descriptive Statistics, Probability, Correlation, and Inferential Statistics

### A. Collecting and summarizing data

 Data Frequency and Frequency Tables

### B. Common ways to describe data

 Mode Median Mean Range

### C. Different ways to represent data

 Tally Charts and Line Plots Pictograms / Pictographs Bar Charts Line Graphs Pie Charts / Pie Graphs / Circle Graphs Box and Whiskers Plot Stem-and-Leaf Plot Venn Diagrams Carroll Diagrams

### D. Frequency Tables

 Frequency Tables Frequency Table with Intervals Mode and Mean from Frequency Table Mean from Frequency Table with Intervals Median from Frequency Table Histogram with Uniform Widths Histogram with Non-Uniform Widths

### E. Cumulative Frequency

 Cumulative Frequency Table Cumulative Frequency Graph Median, Quartiles, Percentiles (Ungrouped Data) Median, Quartiles, Percentiles (Grouped Data)

 Population Mean and Sample Mean Population Variance & Sample Variance Standard Deviation Random Variable Probability Density Functions Binomial Distribution Expected Value Poisson Distribution Normal Distribution Z-Score Bayes' Theorem Normal Probability Plot Videos Confidence Interval Videos Chi-Square Test Videos ANOVA Test Central Limit Theorem videos Sampling Distribution videos Logistic Equations videos Chebychev's Theorem videos

### A series of free Statistics Lectures in videos

Descriptive Statistics

 The Basics: Descriptive and Inferential Statistics Sampling Methods Types of Variables Independent and Dependent Variables Variable Measurement Scales Frequency Distributions and Cumulative Frequency Distributions Bar Graphs and Pie Charts Histograms and Stem & Leaf Plots Arithmetic Mean for Samples and Populations Central Tendency: Mean, Median, and Mode Variance and Standard Deviation of a Population Variance and Standard Deviation of a Sample Percentiles and Quartiles The Five Number Summary, Interquartile Range (IQR), and Boxplots The Effects of Outliers Skewness The Normal Curve and Empirical Rule Z-Scores Extra Z-Score Problems

Probability
 The Basics of Probability Addition Rule (Probability "or") Multiplication Rule (Probability "and") Permutations Combinations Discrete and Continuous Random Variables Discrete Probability Distributions Probability Histograms Mean and Expected Value of Discrete Random Variables Variance and Standard Deviation of Discrete Random Variables The Law of Large Numbers Binomial Distribution Mean and Standard Deviation of Binomial Random Variables Poisson Distribution/Process Mean and Standard Deviation of Poisson Random Variables Bernoulli Distribution
Correlation
Inferential Statistics

Statistics Calculator with step by step solutions
Average Descriptive Statistics, Dispersion Statistics
Probability, Probability Distributions
Frequency Distribution, Normal Distributions
t-Distributions, Hypothesis Testing
Estimation and Sample Size, Correlation and Regression

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 