The answer is a) True.
The Interquartile Range (IQR) is a statistical measure used to describe the spread of data points in a dataset. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1), represented mathematically as IQR = Q3 – Q1.
Since both Q1 and Q3 are measures of location in the dataset, they will always be real numbers, and Q3 will either be equal to or greater than Q1 in a properly ordered dataset. As a result, the value of IQR can never be negative. In summary, the IQR measures the range of the middle 50% of the dataset, and it reflects how concentrated the central portion of the data is, ensuring that it is always a non-negative number.