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Box and Whisker Plot Definition
Box-and-whisker plot is a histogram like method of displaying data where the box-and-whisker plot is created by drawing a box with ends at the quartile and the statistical median is drawn as a horizontal line in the box. It is then required to extend the "whiskers" to the farthest points that are not outliers. The original formulation lacked horizontal crossbars which extended the whiskers all the way to the extreme data points, and drew an unfilled dot at the maximum and a hatched horizontal strip at the minimum.
To create a box-and-whisker plot, start by ordering the data and then the mean mode of the data is found out. The median divides the data into two halves it is required to divide the data into quarters and then it is required to find the medians of these two halves. If there are an even number of values, so the first median is considered as the average of the two middle values and then it is required to include the middle values in the sub-median computations. If there is an odd number of values then the first median is considered as an actual data point, then it is not required to include that value in the sub-median computations and to find the sub-medians that are in the values and that have not yet been used.
Now there are three points such as the first middle point is the median, and the middle points of the two halves which are known as the "sub-medians". These three points are used to divide the entire data set into quarters, called "quartiles" where the top point of each quartile has a name, being a "Q" followed by the number of the quarter. So the first quarter of the data points contains a top point and this top point is called "Q1", where Q1 is also the middle number for the first half of the list. Q2 is also the middle number for the whole list as well as Q3 is the middle number for the second half of the list and Q4 is the largest value in the list. Once there are these three points, Q1, Q2, and Q3, then it is possible to draw a simple box-and-whisker plot.
