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Understanding Histograms: Construction and Interpretation Basics

This guide explores histograms, a powerful way to visualize data distribution. We discuss the purpose of a histogram, explaining that the width of bars on the x-axis represents intervals, while the height on the y-axis shows frequency. Key concepts include choosing interval widths, organizing data into frequency tables, and understanding different distribution shapes like symmetrical, skewed, and bimodal. We also provide a practical example of constructing a histogram from sample data, emphasizing essential characteristics and best practices.

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Understanding Histograms: Construction and Interpretation Basics

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Presentation Transcript

  1. Homework Check

  2. Unit 5 Day 5 HISTOGRAMS

  3. How many paperclips can you hook together in 60 seconds? Histogram Frequency Distribution

  4. Histogram • Good way to display information from large data sets • Width of bar (x-axis) represents interval • Height of bar (y-axis) represents frequency

  5. Histogram

  6. Histogram • Each interval bin should have the same width • Each bin includes the left endpoint value but not the right endpoint value • Bars always touch

  7. Histogram: What’s the difference?

  8. Constructing a histogram: • Determine interval width • 5 to 10 intervals is usually best • Organize data into a frequency table • Distribute data into intervals

  9. Sample Data: How long does the 1161 mile Iditarod take? Construct a bin width of 25.

  10. 235 260 285 310 335 360

  11. Distribution Shapes • Symmetrical • Uniform (rectangular histogram) • Skewed left – longer tail on the left side • Skewed right – longer tail on the right side • Bimodal – two classes with the largest frequencies are separated by at least one class

  12. Distribution Shapes

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