The interquartile range of the data set 2, 5, 9, 11, 18, 30, 42, 48, 71, 73, 81 is 62.
The interquartile range helps in determining the spread of the middle half of the distribution.
The data set given is
2, 5, 9, 11, 18, 30, 42, 48, 71, 73, 81
The interquartile range is determined by subtracting the last quartile by first quartile.
The first quartile is the middle value of the first set 25% = 9 = Q3
The third quartile is the middle value of the last set 75% = 71 = Q1
The interquartile range is = Q3 -Q1
The interquartile range is = 71 - 9
The interquartile range is = 62
Therefore , The interquartile range of the data set 2, 5, 9, 11, 18, 30, 42, 48, 71, 73, 81 is 62.
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