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Box Plots: Definition, Uses, and Interpretation

What is a Box Plot?

A box plot, also known as a box-and-whisker plot, is a standardized way of displaying the distribution of data based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

Uses of Box Plots

  • Comparing distributions between different groups or categories
  • Identifying outliers and the spread of the data
  • Showing the central tendency and variability of a dataset
  • Visualizing the skewness of a distribution

Components of a Box Plot

  • Box: Represents the interquartile range (IQR) from Q1 to Q3
  • Line in the box: Represents the median
  • Whiskers: Extend to the minimum and maximum values within 1.5 times the IQR
  • Points: Individual points beyond the whiskers represent outliers

Interpreting Box Plots

When interpreting a box plot, consider the following:

  • The position of the median line indicates the central tendency of the data
  • The length of the box shows the spread of the middle 50% of the data
  • The position of the box and whiskers relative to each other can indicate skewness
  • Outliers provide information about extreme values in the dataset
  • Comparing multiple box plots side-by-side can reveal differences between groups

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