Given the following computer printout for a set of sample data, which one of the following represents the value of the Interquartile Range?

The interquartile range (IQR) is a measure of statistical dispersion and represents the range within which the central 50% of the data points fall. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).

In this instance, the IQR is 8.25, which indicates the distance between the 25th percentile and the 75th percentile of the data set. This value effectively highlights the spread of the middle half of the data, providing insight into the variability while minimizing the effects of outliers or extreme values.

Identifying the IQR is essential for assessing the distribution of data because it helps understand the concentration of the data points in a more robust manner compared to the range (which considers the maximum and minimum values). The IQR thus serves as an important tool in both descriptive statistics and the graphical representation of data through box plots.

The other values provided do not reflect the correct distance between the first and third quartiles as established in the contextual printout of the sample data.