Distribution Characteristics: Shape, Center, Spread
Learn about the key aspects of describing distributions, including shape (symmetric, skewed), center (mean, median), spread (range), and identifying unusual features like outliers and gaps. Practice describing various distributions to enhance your data analysis skills.
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Presentation Transcript
DESCRIBING DISTRIBUTIONS 3 topics that must be addressed: Shape Center Spread
SHAPE Always describe the basic shape of the distribution. Symmetric left and right sides are mirror images, or approximate (since we re dealing with real data)
Skewed Left majority of the data is on the right side but trails out to the left Skewed Right majority of the data is on the left side but trails out to the right
Unimodal one major mode where the data is collected around Bimodal two major modes Multimodal multiple modes Uniform data is flat
Also mention any unusual features Outliers observations away from the main distribution. Gaps- Spaces between clumps of data
CENTER Mean or Median Right now, just approximate SPREAD Will use either Std. deviation or IQR (will learn later) Always list the range of the data (min, max).
EXAMPLE The distribution is unimodal and skewed to the right. The center is around 15. The range is (0, 60). There is a gap in the 55 to 60 bin. The distribution is unimodal and approximately symmetric. The center is around 5 or 6. The range is (0, 17). There is a possible outlier at 16.
