![]() If the median is closer to the left side of the box (Q1), the data is said to be skewed right. Also, the mean will be less than the median, and the left whisker will be longer. This means that the values between Q1 and the median are more spread out than the values between the median and Q3 (Q2 - Q1 > Q3 - Q2):Ī distribution that is skewed to the left indicates that most values are large, but there are a few exceptionally small values that result in the mean being pulled to the left. If the median is closer to the right side of the box (Q3), the data is said to be skewed left. In a symmetrical distribution, the mean and median will be relatively close in value. If the data is symmetrical, the median will be in the center of the box, meaning that the distance between Q1 and Q2 is the same as that between Q2 and Q3:Ī symmetrical distribution indicates a normal distribution, meaning that there are few exceptionally large or small values. Box plots are commonly described as being symmetrical, skewed to the left, or skewed to the right. For example, a box plot that is very short means that most of the values are close to the median (smaller range), while a longer box plot means that values are more spread out (larger range). The shape of the box plot provides information about the data such as how spread the data is. They are commonly used to compare multiple sets of data simultaneously. The box plot for the above data set is shown below:īox plots are used to quickly get a sense of the distribution of data. ![]() These lines are the whiskers of the box plot. Draw lines from both ends of the IQR to their respective extrema. Connect the three middle points such that they form a rectangle. Once the five number summary is calculated, make points for each value in their corresponding positions over a number line:ģ. In this case, Q3 is between the 10th and 11th elements, which are 16 and 18, respectively.
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