Data Sets and Distribution [Coming Soon]
Develop an understanding of statistical variability, and summarize and describe distributions.
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In this lesson, students develop understanding of statistical variability and learn to summarize and describe distributions.
Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
Summarize numerical data sets in relation to their context.
Why do we need statistics?
What is a statistical question?
Numerical and categorical variables
Distribution of a data set
Summarizing data with frequency distribution tables
Summarizing data with dot plots
Using dot plots to answer statistical questions
Drawing a histogram from the frequency distribution table
Summarizing data using histograms
Using histograms to answer statistical questions
Why choose histograms over dot plots?
Interpretating histrograms with various shapes
Building frequency tables and bar diagrams
How is bar diagram different from histogram?
Mode of a distribution
Mean as the center of a distribution
Understanding mean in terms of “fair share” or “leveling out”
Understanding mean as the balance point of a distribution
Does mean alone define the center of distribution
Measuring variability using Mean Absolute Deviation (MAD)
Interpreting MAD
Median as the center of distribution
Median on the dot plot
Mean and median - what do they tell us?
Interquartile range (IQR) to measure variability
The five-number summary to describe a distribution
Box plot to represent five number summary
Comparing distributions using box plots
Mean vs median to measure the center of distribution
The shape of the distribution in describing mean and median
Effects of outliers on the mean and the median