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Understanding Distribution Shapes and Data Measures

Learn about the different shapes of data distributions, such as bimodal, unimodal, multimodal, and uniform, as well as measures of center and spread like mode, median, mean, standard deviation, and range.

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Understanding Distribution Shapes and Data Measures

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  1. Describing Distributions

  2. SHAPES Bimodal Unimodal Multimodal Uniform

  3. GENERAL SHAPES of DATA Bimodal • height(M & F) Unimodal • test scores Multimodal • favorite numbers Uniform • # pencils manufactured each day at factory

  4. MEASURES OF CENTER MODE • data value repeated most • seen as humps in a histogram MEDIAN • middle number of all data values when ordered ascending or descending • NOT affected by value of data • Divides histogram into equal areas MEAN • arithmetic average • IS affected by value of data • the “balancing point” of the histogram

  5. CALCULATING THE MEAN Pronounced “y-bar”

  6. WHICH CENTER WHERE? Nominal – categorical data with no rank (i.e. sex, race, hair color) Ordinal – categorical data with ranking (i.e. level of education, economic status) Interval – quantitative data

  7. MEASURES OF SPREAD STANDARDDEVIATION • use with symmetric distribution RANGE • = max – min • good to mention for many distributions IQR • = Q3 – Q1 • use with skewed distribution • sometimes good to mention with symmetric distribution

  8. CALCULATING STANDARD DEVIATION Variance: Standard Deviation:

  9. Pg. 84 - Summary

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