Interpreting a box and whiskers
The first quartile (Q1) is greater than 25% of the data and less than the other 75% . The second quartile (Q2) sits in the middle, dividing the data in half. Q2 is also known as the median. The third quartile (Q3) is larger than 75% of the data, and smaller than the remaining 25%.
To find the quartiles (Q1 and Q3) take the sets to the left and right of 8, which are as follows: [1, 2, 6] and [12, 18, 21] and find their medians. Q1 = 2 |
Q2, or the median is the middle value. · Q1 is the middle number between the minimum and the median. · Q3 is the middle number between the median and the maximum. |
A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. |
Extreme outliers are marked with an asterisk (*) on the boxplot. Mild outliers are data points that are more extreme than than Q1 - 1.5 * IQR or Q3 + 1.5 * IQR, ... |
A box-and-whisker plot displays the values Q 1 , Q 2 , and Q 3 , along with the extreme values of the data set ( 2 and 23 , in this case). |
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