![]() 7 + 9 equals 16, and 16 divided by 2 equals 8. A: A box plot, also known as a box-and-whisker plot, is a graphical representation of data that displays the distribution through five key statistics: the minimum, first quartile (Q1), median, third quartile (Q3), and maximum. For example, the table and graph below shows how a second box-and-whisker plot can be added to the graph. ![]() In our example, you would take 7 and 9 - the two middle numbers - add them up and divide them by 2. You can also use additional columns to create more box-and-whisker plots on the graph using additional five-number summaries (or with raw data). What if the data set you're working with has an even amount of numbers? What if you had to find the median of 2, 4, 4, 7, 9, 10, 14, 15? You find the median here by taking the two middle numbers and finding their average.That's how we can be sure that it's our median. The distance from the Q 1 to the dividing vertical line is twenty five percent. The vertical line that divides the box is at 32. For the data set 1, 2, 3, 4, 5, the median number, 3, has 2 numbers before it and 2 numbers after it. The beginning of the box is labeled Q 1 at 29. In a data set with an odd amount of numbers, the median will always have the same amount of numbers on either side of it.The median is also called the second quartile. (This is why we lined up all the numbers in Step 2.) For the data set in our example, 3 is the number that's exactly in the middle, and therefore is our median. The median is the middle number in the data set when the data set is written from least to greatest. ![]()
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