box plot

(noun)

A graphical summary of a numerical data sample through five statistics: median, lower quartile, upper quartile, and some indication of more extreme upper and lower values.

Related Terms

Examples of box plot in the following topics:

  • Box Plots

    • Determine whether a box plot is appropriate for a given data set
    • Such a display is said to involve parallel box plots.
    • There are several steps in constructing a box plot.
    • For example, the box plots in Figure 6 are constructed from our data but differ from the previous box plots in several ways.
    • Box plots showing the individual scores and the means.

  • Making a Box Model

    • A box plot (also called a box-and-whisker diagram) is a simple visual representation of key features of a univariate sample.
    • A box plot (also called a box and whisker diagram) is a simple visual representation of key features of a univariate sample.
    • Another common extension of the box model is the 'box-and-whisker' plot , which adds vertical lines extending from the top and bottom of the plot to, for example, the maximum and minimum values.
    • Box plot of data from the Michelson-Morley Experiment, which attempted to detect the relative motion of matter through the stationary luminiferous aether.
    • Produce a box plot that is representative of a data set.

  • Graphing Quantitative Variables

    • The upcoming sections cover the following types of graphs: (1) stem and leaf displays, (2) histograms, (3) frequency polygons, (4) box plots, (5) bar charts, (6) line graphs, (7) scatter plots, and (8) dot plots.
    • Graph types such as box plots are good at depicting differences between distributions.
    • Scatter plots are used to show the relationship between two variables.

  • Exercises

    • Create side-by-side box plots for these three groups.
    • Which of the box plots on the graph has a large positive skew?
    • (AM) Plot parallel box plots of the Anger Expression Index by sports participation.
    • (F) Create parallel box plots of "how long" as a function gender.
    • (AT) Create box plots for the four conditions.

  • Lab: Descriptive Statistics

    • What does the shape of the box plot imply about the concentration of data?
    • Using the box plot, how can you determine if there are potential outliers?

  • Comparing numerical data across groups

    • Here two convenient methods are introduced: side-by-side box plots and hollow histograms.
    • The side-by-side box plot is a traditional tool for comparing across groups.
    • An example is shown in the left panel of Figure 1.43, where there are two box plots, one for each group, placed into one plotting window and drawn on the same scale.
    • The side-by-side box plots are especially useful for comparing centers and spreads, while the hollow histograms are more useful for seeing distribution shape, skew, and groups of anomalies.
    • Side-by-side box plot (left panel) and hollow histograms (right panel) for med income, where the counties are split by whether there was a population gain or loss from 2000 to 2010.

  • Box plots, quartiles, and the median

    • A box plot summarizes a data set using five statistics while also plotting unusual observations.
    • Figure 1.25 provides a vertical dot plot alongside a box plot of the num char variable from the email50 data set.
    • The IQR is the length of the box in a box plot.
    • In a sense, the box is like the body of the box plot and the whiskers are like its arms trying to reach the rest of the data.
    • A vertical dot plot next to a labeled box plot for the number of characters in 50 emails.

  • Statistical Graphics

    • Statistical graphics allow results to be displayed in some sort of pictorial form and include scatter plots, histograms, and box plots.
    • They include plots such as scatter plots , histograms, probability plots, residual plots, box plots, block plots and bi-plots.
    • Many familiar forms, including bivariate plots, statistical maps, bar charts, and coordinate paper were used in the 18th century.
    • A scatter plot helps identify the type of relationship (if any) between two variables.

  • Graphs for Quantitative Data

    • Graphs can also be used to read off the value of an unknown variable plotted as a function of a known one.
    • Plots play an important role in statistics and data analysis.
    • Below are brief descriptions of some of the most common plots:
    • This kind of plot is also called a scatter chart, scattergram, scatter diagram, or scatter graph.
    • Box plot: In descriptive statistics, a boxplot, also known as a box-and-whisker diagram, is a convenient way of graphically depicting groups of numerical data through their five-number summaries (the smallest observation, lower quartile (Q1), median (Q2), upper quartile (Q3), and largest observation).

  • Segmented bar and mosaic plots

    • Examine both of the segmented bar plots.
    • A mosaic plot is a graphical display of contingency table information that is similar to a bar plot for one variable or a segmented bar plot when using two variables.
    • Figure 1.39(a) shows a mosaic plot for the number variable.
    • In general, mosaic plots use box areas to represent the number of observations that box represents.
    • The one-variable mosaic plot for number and the two-variable mosaic plot for both number and spam.