Box and whisker plots

A box and whisker plot is a graphical representation of a data set that displays the median, quartiles, and extremes (minimum and maximum values) of the data.

To find the median, arrange the data in ascending order and locate the middle number. If there are two middle numbers, add them together and divide by two.

The interquartile range (IQR) represents the range of the middle 50% of the data, calculated as the difference between the upper quartile (Q3) and lower quartile (Q1).

Points A and E represent the least and greatest values (minimum and maximum) of the data set.

IQR = Q3 - Q1, where Q3 is the upper quartile and Q1 is the lower quartile.

The purpose of a box and whisker plot is to provide a visual summary of the distribution of a data set, highlighting its central tendency and variability.

The box represents the interquartile range (IQR), which contains the middle 50% of the data.

Whiskers are the lines that extend from the box to the minimum and maximum values, showing the range of the data.

Outliers are typically identified as points that fall outside 1.5 times the IQR above Q3 or below Q1.

The median is the middle value of a data set when it is ordered from least to greatest.