Box plot
Box plot
A Box plot (pronounced: /bɒks plɒt/), also known as a box and whisker plot or box and whisker diagram, is a standardized way of displaying the dataset based on a five-number summary: the minimum, the maximum, the sample median, and the first and third quartiles.
Etymology
The term "Box plot" was first coined by John Tukey in 1969 as part of his toolkit for exploratory data analysis. The "box" refers to the box in the middle of the plot where the median and quartiles are located, and the "plot" refers to the graphical representation of the data.
Definition
A Box plot is a method for graphically depicting groups of numerical data through their quartiles. In addition to the box, which represents the interquartile range (the range between the first and third quartiles), there are lines (or whiskers) extending from the box indicating variability outside the upper and lower quartiles. Outliers may be plotted as individual points.
Related Terms
- Quartile: A type of quantile which divides the number of data points into four more or less equal parts, or quarters.
- Median: The value separating the higher half from the lower half of a data sample.
- Outlier: An observation point that is distant from other observations.
- Data analysis: A process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information, informing conclusions, and supporting decision-making.
Usage
Box plots are used in statistics, scientific research, higher education, and quality improvement projects. They are useful for comparing distributions across groups and for identifying potential outliers.
See Also
External links
- Medical encyclopedia article on Box plot
- Wikipedia's article - Box plot
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