Q2, or the median is the middle value.Find Q1, Q2, Q3, the minimum, and the maximum. Use the following data set as a reference.ġ. Note that the elements in a set of data must be ordered from least to greatest to determine the values in the five number summary. How to construct a box plotĬonstructing a box plot involves determining each value in the five number summary. Because of how compact box plots are, they are also useful for comparing a large number of observations as well as for simultaneously comparing multiple data sets. For example, in addition to providing a five number summary, box plots also enable us to quickly determine whether the data is skewed, how tightly the data is grouped, and whether it has any outliers. Also, the "whisker" in the box and whisker plot refers to the lines between the minimum and Q1, and Q3 and the maximum.Īlthough box plots may not provide as much detail as other methods of displaying data, such as a histogram, box plots are useful in that the information they do provide is presented in a manner that is compact and can be interpreted quickly. The above would still apply except that "left" would refer to the bottom of the plot while "right" would refer to the upper part of the plot. Note that box plots can also be oriented vertically, by rotating the plot counter-clockwise. Maximum - largest value in the set it is the right-most point of the plot.On a box plot, Q3 is the right side of the box. Third/upper quartile (Q3) - the number below which 75% of the data in the set lies.Q2 is indicated by a line inside the box at some point between Q1 and Q3. Median (Q2) - the middle of the data it splits the lower and upper 50% of the data. On a box plot, Q1 is the left side of the box.
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