The interquartile range (IQR) is defined to be the difference between the two quartile values.TrueFalse

Explanation of Interquartile Range (IQR)

1. Definition of Quartiles: Quartiles are values that divide a dataset into four equal parts. The first quartile (Q1) is the 25th percentile, the second quartile (Q2) is the 50th percentile (median), and the third quartile (Q3) is the 75th percentile.

2. Understanding IQR: The interquartile range (IQR) is calculated as: $\text{IQR} = Q3 - Q1$ This means that the IQR measures the range within which the central 50% of the data falls.

3. Assessment of the Statement: The statement claims that the IQR is defined as the difference between the two quartile values. This is partially correct, as it specifically refers to the difference between Q3 and Q1.

Conclusion

Since the interquartile range is indeed defined as the difference between the first and third quartiles (Q1 and Q3), the answer to the question is True.