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Bot GPT 3.5 To find the interquartile range of a dataset, you first need to find the first quartile (Q1) and the third quartile (Q3) of the dataset. The interquartile range is then calculated as the difference between Q3 and Q1.
For example, consider the following dataset:
5, 8, 10, 12, 15, 17, 19, 20, 25, 30
First, order the data:
5, 8, 10, 12, 15, 17, 19, 20, 25, 30
To find Q1 and Q3, we need to find the median of the lower half of the data and the median of the upper half of the data, respectively:
Q1 = (10 + 12) / 2 = 11
Q3 = (19 + 20) / 2 = 19.5
Now, calculate the interquartile range:
IQR = Q3 - Q1 = 19.5 - 11 = 8.5
Therefore, the interquartile range of the given dataset is 8.5.