How to Determine the Mean When Only Given the Box & Whisker Plots


Hi, I'm Rachel, and today we're going to be going over how to determine the mean when only given a box and whisker plot. Well, in a box and whisker plot, we have it written on a number line, so we actually have all the numbers should be written on this number line that are in the data. So, if the data is one, three, five, seven and nine, then those are the numbers that we're using. Five is the median of those numbers and we want to find the mean. So, the mean is going to be the average of those numbers. What does that mean? That means that we add all the numbers together and then we divide by the number of numbers. So, in this case, we're going to add one plus three, plus five, plus seven, plus nine; one plus three is four plus five is nine, plus seven is 16, plus nine is 25. Now, we're going to divide by the number of numbers we have; one, two, three, four, five. We divide five into 25 to get five. So, five in this case is our mean as well as our median. That does, this doesn't always happen, sometimes the mean can be different than the median and often is, but in this case, we found the mean from the box and whiskers plot and it ends it up being five. I'm Rachel and thank you for learning with me today.

Rachel Kaplove has worked as a professional private tutor since 2005. Specializing in Math and Science, she tutors students from the second grade level to advanced high school honors levels.