Compute the Interquartile Range for the following data.10  15  17   21   25   12  16  11 13 22Group of answer choices97510

To compute the Interquartile Range (IQR) for the given data, follow these steps:

1. First, arrange the data in ascending order: 10, 11, 12, 13, 15, 16, 17, 21, 22, 25.

2. Next, find the median (Q2). Since there are 10 numbers, the median is the average of the 5th and 6th numbers. So, (15 + 16) / 2 = 15.5.

3. Then, find the first quartile (Q1). This is the median of the first half of the data. Since there are 5 numbers in the first half, the 3rd number is the median. So, Q1 = 12.

4. Find the third quartile (Q3). This is the median of the second half of the data. Since there are 5 numbers in the second half, the 3rd number is the median. So, Q3 = 21.

5. Finally, subtract Q1 from Q3 to find the IQR. So, IQR = Q3 - Q1 = 21 - 12 = 9.

So, the Interquartile Range for the given data is 9.