![]() If the median is located to the left of the center of the box, the distribution is positively skewed.Ĭ. If the median is located in the center or near the center of the box, the distribution is approximately symmetric.ī. Information about the data set that can be determined from the box-and-whisker plot with respect to the location of the median includes the following:Ī. ![]() Not all box-and-whisker plots have the median in the middle of the box and whiskers of the same size. It's important to note that this is just an example. The lengths of the whiskers and the location of the median with respect to the center of the box are used to describe the distribution of the data. In addition, it shows that the median of the data set is in the middle of the box, which contains 50% of the data. The above model of a box-and-whisker plot shows 2 horizontal lines (the whiskers) that each contain 25% of the data and are of the same length. The display of the five-number summary produces a box-and-whisker plot as shown below: The highest number in the data set (maximum value).The median of the upper quartile: Q3 (median of the second half of the data set).The median of the entire data set (median).The median of the lower quartile: Q1 ( median of the first half of the data set).The lowest number in the data set (minimum value).The five-number summary consists of the following: ![]() The 5 specific values are often referred to as a five-number summary of the organized data set. A box-and-whisker plot (often called a box plot) can be used to graphically represent the data set, and the graph involves plotting 5 specific values. In exploratory data analysis, organized data is displayed in order to make decisions or suggestions regarding further actions. To examine data in order to identify patterns, trends, or relationships, exploratory data analysis is used. The shape of the distribution will allow you to confirm various conjectures about the nature of the data. The results of the frequency distribution can then be used to create various graphs, such as a histogram or a frequency polygon, which indicate the shape or nature of the distribution. In traditional statistics, data is organized by using a frequency distribution. ![]()
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