Understanding Graph Shapes and Descriptors
Learn how to identify different graph shapes such as symmetric, skewed, and uniform, and understand descriptors like unimodal and bimodal. Explore practical examples and visual aids to enhance your graph interpretation skills.
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How many bumps does it have? Unimodal (1) Bimodal (2) These modes should be very noticeable. We are not interested in every tiny little change. Look for the overall pattern. CAUTION: This descriptor alone (unimodal/bimodal) is usually not enough. It is an additional descriptor used with symmetric graphs. Occasionally bimodal can be used alone but not unimodal.
Shapes Symmetric Skewed Left For skewed graphs the direction corresponds to the location of the TAIL. Skewed Right Uniform
When describing the shape It is okay to use ly words! The graph doesn t have to match the shape perfectly. Roughly symmetric Approximately uniform Your goal is to describe what you see as best as you can.
What Shape? Very few people die young Many people live a long life The x-axis shows age from 0- 100ish years.
What Shape? This graph comes up a lot so know that it has this shape. Also, variables that are related to income will have this skewed right shape.
What Shape? Consider a data set containing IQ scores for the general public. What shape would you expect a histogram of this data to have? Symmetric Skewed to the right Skewed to the left Bimodal Symmetric Consider a data set of the scores on a very easy exam in which most score very well but a few score very poorly. What shape would you expect a histogram of this data to have? Symmetric Skewed to the right Skewed to the left Bimodal
Your Turn! On your paper, write down the name for the graph shown based on shape. When describing a graph as Symmetric, you should include whether it is unimodal or bimodal.
Answers Symmetric, unimodal Uniform Skewed Right Skewed Left Skewed Right Approximately uniform Females roughly symmetric; Males skewed right Skewed right Fairly symmetric and unimodal Bimodal
