Box Plots Math

Illustration by ryan sneed sample questions what is.

Box plots math. The box plots with quartiles the minimum and maximum data values are plotted below for the two methods. A box and whisker plot is a visual tool that is used to graphically display the median lower and upper quartiles and lower and upper extremes of a set of data. Box and whisker plots help you to see the variance of data and can be a very helpful tool. Example 3 the box plots of the scores in an exam of classes a b c and d are shown below.

We can represent the list of nine numbers from example 1 1 in such a box plot. Box plots are useful however for quickly indicating whether the distributions are skewed and whether there are any outliers in the data set. Examples on reading quartiles from box plots. A box and whisker plot also called a box plot displays the five number summary of a data set.

The following box plot represents data on the gpa of 500 students at a high school. The following diagram shows a box plot or box and whisker plot. Box plots are a huge issue. The number of students in each of the classes a b c and d are 12 19 22 and 28 respectively.

This guide to creating and understanding box and whisker plots will provide a step by step tutorial along with a free box and whisker plot. Math worksheets a box plot also called a box and whisker plot shows data using the middle value of the data and the quartiles or 25 divisions of the data. Visit the post for more. In descriptive statistics a box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles box plots may also have lines extending from the boxes whiskers indicating variability outside the upper and lower quartiles hence the terms box and whisker plot and box and whisker diagram outliers may be plotted as individual points.

2 5 7 9 10 13 16. 5 2 16 9 13 7 10 first you have to put the data set in order from greatest to least or from least to greatest from least to greatest we get. Making a box plot itself is one thing. In a box plot we draw a box from the first quartile to the third quartile.

Understanding the do s and especially the don ts of interpreting box plots is a whole other story. Construct a box and whiskers plot for the data set. Scroll down the page for more examples and solutions using box plots. This blog covered the topic of box and whisker plot.

Hence the name box and whisker plot. Box plots are also useful when representing large amounts of data and when comparing data sets.