What is the purpose of a box and whisker plot?
Box and whisker plots are a way to show the distribution of data in a graphical format. It helps to compare data sets and identify outliers. It is a useful tool to quickly get an idea of the range, median, and quartiles of a data set.
What are Box and Whisker Plots?
Box and Whisker Plot: A graphical display of data that shows the minimum, first quartile, median, third quartile, and maximum of a data set. It is used to quickly identify the range and distribution of data. Quartiles: The three points that divide a data set into four equal parts. The first quartile is the median of the lower half of the data set, the second quartile is the median of the entire data set, and the third quartile is the median of the upper half of the data set. Outliers: A data point that is significantly far away from the other data points in the data set. Outliers are usually not included in a box and whisker plot, since they can distort the results.
Concepts:
Which do you think is the most helpful for learning about data: box and whisker plots, bar graphs, or line graphs?
- box and whisker plots
- bar graphs
- line graphs
The term 'box and whisker plot' was coined byJohn Tukey in his book 'Exploratory Data Analysis' from 1977. The 'whiskers' in a box and whisker plot represent the lowest and highest values in the data set, excluding outliers. The median is the middle value in a box and whisker plot, and is represented by the red line in the box.
Did you know?
What are the advantages of using a box and whisker plot compared to other graphical representations of data?
What does the interquartile range tell us about the data?
What did you learn about box and whisker plots from this lesson?
How could you use box and whisker plots to answer a specific question about a set of data?