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#BOX AND WHISKER PLOT WITH OUTLIERS HOW TO#
#BOX AND WHISKER PLOT WITH OUTLIERS PDF#

While the WNBA winning scores are, on average, lower than those of the NBA, the WNBA winning In conclusion, the WNBA winning scores and those for the NBA differ in shape, average, and spread. The box, indicating that the data is more or less symmetric about the center. For the NBA data, the whiskersĪre approximately equal and there is only a small lack of symmetry on either side of the median inside The box itself is symmetric onĮither side of the median, however, so the data is not heavily skewed. Within a narrower range of values than those in the higher range. That is, the lower scores are more concentrated Is a little right (or positively) skewed. Interquartile range, we are considering the spread of the data.įor the WNBA data, the left whisker is shorter than the right. When considering the median, we are talking about the “average”

When looking at whether or not a data set is skewed (or symmetric), We have compared three different statistical measures in this example: the The box is split evenly on either side of the median and the whiskers are Third possibility is that if, in a box plot, Quite high range, Mona’s distances were left (or negatively) skewed. Since half of Mona’s data were concentrated in a narrow but Lower values means that Ramy’s distances were right (or positively) skewed. In statistical terms, the concentration of half of Ramy’s data in a small range of The lower half of her distances were spread over a wider range of distances: 25% between 2 (her minimum) and

#BOX AND WHISKER PLOT WITH OUTLIERS HOW TO#

Let us look at some examples of how to use two box plots to compare two data sets on the same variable.

Values of the data set excluding the outliers. If there is one or more outliers in a data set, for the purpose ofĭrawing a box-and-whisker plot, we take the minimum and maximum to be the minimum and maximum Outliers, or extreme values in a data set, are usually indicated on a box-and-whisker plot by the 50% of theĭata values lie above the median and 50% lie below the median.

The median sits within the box and represents the center of the data.

The upper whisker covers all the data values between Q3 and the maximum value,.

Q1, that is, the lowest 25% of data values.

The lower whisker covers all the data values from the minimum value up to.

The whiskers each cover 25% of the data values.

This 50% of the data lies between Q1 and Q3 and its range is the interquartile range,

The box part of a box-and-whisker plot covers the middle 50% of the values in the data set.

The horizontal axis covers all possible data values.

See also interquartile range and quartiles. Values higher than Q3+1.5xIQR or lower than Q1-1.5xIQR are considered outliers and are plotted above the top whisker or below the bottom whisker. The ends of the whiskers are marked by two shorter horizontal lines. The vertical lines protruding from the box extend to the minimum and the maximum values of the data set, as long as these values are not outliers. The horizontal line inside the box is the median. Therefore the vertical width of the central box represents the inter-quartile deviation. The bottom side of the box represents the first quartile, and the top side, the third quartile. The box plot is also referred to as box and whisker plot or box and whisker diagram Elements of the box plot What is a box plotĪ box plot is a diagram that gives a visual representation to the distribution of the data, highlighting where most values lie and those values that greatly differ from the norm, called outliers. These measures are displayed to the left of the chart.For more details on the dispersion of the data set, you may click on the More dispersion data link located on the left of the plot. When you submit your data, the server calculates the measures that will be used to plot the diagram. To clear the graph and enter a new data set, press "Reset".

Press the "Submit Data" button to create the plot.

#BOX AND WHISKER PLOT WITH OUTLIERS PDF#

You may also copy and paste data from another window such as an open document, spreadsheet pdf file or another web page. You do not need to specify whether the data is from a population or a sample. Individual values may be entered on separate lines or separated by commas, tabs or spaces.

You must enter at least 4 values to build the box plot. This page allows you to create a box plot from a set of statistical data: