The range is the difference between the maximum and minimum values of the data set. The interquartile range is the difference between the third and first quartiles of the data set.
Range: 36 Interquartile Range: 12
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The range of a data set is the difference between the maximum value and the minimum value.
Range: Maximum-Minimum
The interquartile range (IQR) is the difference between the third quartile Q_3 and the first quartile Q_1 of the data.
IQR: Q_3-Q_1
The first quartile is the median of the lower half of the data and the third quartile is the median of the upper half. Because of this, the difference between the maximum and minimum values is always greater than or equal to the difference of the third and first quartiles.
Maximum-Minimum≥ Q_3-Q_1
This means that the range is always greater than or equal to the interquartile range.
Range ≥ IQR
Looking at the given numbers, 36 is greater than 12. Therefore, 36 represents the range and 12 represents the interquartile range of the data.
Range:& 36
Interquartile Range:& 12
