Introduction to Mathematical Statistics

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

This series of lessons will cover:

A. Collecting and summarizing data

• Data
• Frequency

B. Common ways to describe data

• Mode (includes video)
• Median (includes video)
• Mean (includes video)
• Range (includes video)

C. Different ways to represent data

• Pictograms / Pictographs (includes video)
• Bar Charts (includes video)
• Line Graphs (includes video)
• Pie Charts / Pie Graphs / Circle Graphs (includes video)
• Box and Whiskers Plot (includes video)
• Stem-and-Leaf Plot (includes video)

D. Frequency Tables

• Frequency Tables (includes video)
• Frequency Table with Intervals
• Mode and Mean from Frequency Table (includes video)
• Mean from Frequency Table with Intervals (includes video)
• Median from Freqeuncy Table (includes video)
• Histogram with Uniform Widths
• Histogram with Non-Uniform Widths

E. Cumulative Frequency

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

F. More Advanced Statistics

• Population Mean and Sample Mean (includes video)
• Populaton Variance and Sample Variance (includes video)
• Standard Deviation (includes video)
• Random Variable (includes video)
• Probability Density Functions (includes video)
• Binomial Distribution (includes video)
• Expected Value (includes video)
• Poisson Distribution (includes video)
• Normal Distribution (includes video)
• Z-Score (includes video)
• Bayes' Theorem (includes video)

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