Final answer:
The interquartile range (IQR) for the given set of data: 5, 7, 10, 1, 2, 1, 15 is 8.
Step-by-step explanation:
The interquartile range (IQR) for the given set of data: 5, 7, 10, 1, 2, 1, 15 can be calculated by finding the first quartile (Q1) and the third quartile (Q3), and subtracting Q1 from Q3. Let's first arrange the data in ascending order:
1, 1, 2, 5, 7, 10, 15
The first quartile (Q1) is the median of the lower half of the data, which is 2. The third quartile (Q3) is the median of the upper half of the data, which is 10. Therefore, the IQR is 10 - 2 = 8. This statistical measure, the IQR, quantifies the spread or dispersion within the middle 50% of the dataset