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. The three common ways to describe data

• Mode (includes video)
• Median
• Mean

C. The different ways to represent data

• Pictograms
• Bar Charts
• Line Graphs
• Pie Charts / Pie Graphs

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
• Median from Freqeuncy Table
• Histogram with Uniform Widths
• Histogram with Non-Uniform Widths

E. Cumulative Frequency

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

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