Boxplots summarize information about the shape, dispersion,
and center of your data. They can also help you spot outliers.
· The
left edge of the box represents the first quartile (Q1), while the right edge represents the third quartile (Q3). Thus the box portion of the plot represents
the interquartile range (IQR),
or the middle 50% of the observations.
· The
line drawn through the box represents the median
of the data.
· The
lines extending from the box are called whiskers.
The whiskers extend outward to indicate the lowest and highest values
in the data set (excluding outliers).
· Extreme
values, or outliers, are represented by dots. A value is considered an
outlier if it is outside of the box (greater than Q3 or less than Q1)
by more than 1.5 times the IQR.
Use the boxplot to
assess the symmetry
of the data:
· If
the data are fairly symmetric, the median line will be roughly in the
middle of the IQR box and the whiskers will be similar in length.
· If
the data are skewed,
the median may not fall in the middle of the IQR box, and one whisker
will likely be noticeably longer than the other.
Example Output |

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Interpretation |

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In the boxplot of the precipitation data the median is centered in the
IQR box, and the whiskers are the same length. This indicates that except
for the outlier (asterisk), the data are symmetric. This is a good indication
that the outlier may not be from the same population as the rest of the
sample data.