![]() In other words, there are exactly 25% of the elements that are less than the first quartile and exactly 75% of the elements that are greater than it. The first quartile value ( Q 1 or 25th percentile) is the number that marks one quarter of the ordered data set. The median of this ordered data set is 70 ☏. This means that there are exactly 50% of the elements is less than the median and 50% of the elements is greater than the median. The median is the "middle" number of the ordered data set. In this case, the maximum recorded day temperature is 81 ☏. The maximum is the largest number of the data set. In this case, the minimum recorded day temperature is 57 ☏. The minimum is the smallest number of the data set. The recorded values are listed in order as follows (☏): 57, 57, 57, 58, 63, 66, 66, 67, 67, 68, 69, 70, 70, 70, 70, 72, 73, 75, 75, 76, 76, 78, 79, 81.Ī box plot of the data set can be generated by first calculating five relevant values of this data set: minimum, maximum, median ( Q 2), first quartile ( Q 1), and third quartile ( Q 3). ![]() The generated boxplot figure of the example on the left with no outliers.Ī series of hourly temperatures were measured throughout the day in degrees Fahrenheit. Examples Example without outliers Figure 5. Other kinds of box plots, such as the violin plots and the bean plots can show the difference between single-modal and multimodal distributions, which cannot be observed from the original classical box-plot. IQR = Q 3 − Q 1 = q n ( 0.75 ) − q n ( 0.25 ) for both whiskers. ![]()
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