The IQR (interquartile range) is a measure of variability that describes the spread of the middle 50% of values in a dataset. To calculate the IQR, one must find the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of the dataset.
In this case, the IQR would be calculated as follows:
Q1 = 6.0
Q3 = 8.5
IQR = Q3 - Q1 = 8.5 - 6.0 = 2.5
This means that the middle 50% of values in the dataset fall within a range of 2.5 units. The IQR provides a single number that gives an indication of how spread out the values in the dataset are, with a larger IQR indicating greater variability and a smaller IQR indicating less variability. In this case, the IQR of 2.5 suggests that the values in the dataset vary by a moderate amount.
5.5, 5.5, 6.0, 6.5, 6.5, 7.0, 7.5, 7.5, 7.5, 8.0, 8.0, 8.5, 8.5, 9.0 which of the following describe the IQR and explains how this measure of variability describes how the vaules of a dataset vary with a single number
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