![]() Use the calculated statistics to plot the results and draw a box plot.Calculate the maximum length of the whiskers by multiplying the IQR by 1.5.Calculate the interquartile range (IQR) as the difference between the 75 th and 25 th percentiles.Calculate the median, 25 th, and 75 th percentiles.With these five numbers, you can create a box plot, meaning that with any given data set, you can generate a box plot in five steps: ![]() Today, most people use software to create box plots, thus avoiding manual arithmetic and reducing errors. A box plot is based on what is known as the five-number summary, which is the minimum, 25 th percentile, median, 75 th percentile, and maximum values from a data set. In the past, box plots were created manually. The box plot helps identify the 25 th and 75 th percentiles better than the histogram, while the histogram helps you see the overall shape of your data better than the box plot. The box plot helps you see skewness, because the line for the median will not be near the center of the box if the data is skewed. You might find it helpful to use both types of graphs with your data. These data points are worthy of review to determine if they are outliers or errors the whiskers will not include these outliers. These points are often called outliers. An outlier is more extreme than the expected variation. If the data do not extend to the end of the whiskers, then the whiskers extend to the minimum and maximum data values. If there are values that fall above or below the end of the whiskers, they are plotted as dots. The whiskers represent the expected variation of the data. The whiskers extend 1.5 times the IQR from the top and bottom of the box. The lines that extend from the box are called whiskers.The length of the box is the difference between these two percentiles and is called the interquartile range (IQR). These two quantiles are also called quartiles because each cuts off a quarter (25%) of the data. ![]()
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