To calculate the interquartile range of a dataset, we first arrange the dataset in order:
Since the given dataset is already arranged in order.
We obtain the Q1 and the Q3 data values.
The Q1 value is the value for which 25% of the datavalues lie below it. For the given dataset, the Q1 value is 24.
Similarly, the Q3 value is the value for which 25% of the datavalues lie above it. For the given dataset, the Q1 value is 28.9.
The interquartile range is given by
IQR = Q3 - Q1 = 28.9 - 24 = 4.9
Therefore, the interquartile range (IQR) of the data set is 4.9.