![]() In this case, at least 25% of the values are equal to one. For example, if the smallest value and the first quartile were both one, the median and the third quartile were both five, and the largest value was seven, the box plot would look like: The right side of the box would display both the third quartile and the median. In this case, the diagram would not have a dotted line inside the box displaying the median. For instance, you might have a data set in which the median and the third quartile are the same. This video explains what descriptive statistics are needed to create a box and whisker plot.įor some sets of data, some of the largest value, smallest value, first quartile, median, and third quartile may be the same. The middle 50% (middle half) of the data has a range of 5.5 inches.The interval 59–65 has more than 25% of the data so it has more data in it than the interval 66 through 70 which has 25% of the data.Range = maximum value – the minimum value = 77 – 59 = 18.So, the second quarter has the smallest spread and the fourth quarter has the largest spread. The spreads of the four quarters are 64.5 – 59 = 5.5 (first quarter), 66 – 64.5 = 1.5 (second quarter), 70 – 66 = 4 (third quarter), and 77 – 70 = 7 (fourth quarter). ![]() ![]()
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