What is the interquartile range of this data set?1, 5, 27, 29, 34, 46, 48, 61, 64, 84, 96A.19B.73C.37D.46

To find the interquartile range (IQR), we first need to find the lower quartile (Q1) and the upper quartile (Q3).

Step 1: Arrange the data in ascending order, which is already done.

Step 2: Find the median. The median is the middle number of a sorted list. In this case, we have 11 numbers, so the median is the 6th number, which is 46.

Step 3: Find Q1. Q1 is the median of the first half of the data. Since we have 11 numbers, the first half is the first 5 numbers: 1, 5, 27, 29, 34. The median of this set is 27.

Step 4: Find Q3. Q3 is the median of the second half of the data. The second half is the last 5 numbers: 48, 61, 64, 84, 96. The median of this set is 64.

Step 5: Subtract Q1 from Q3 to find the IQR. IQR = Q3 - Q1 = 64 - 27 = 37.

So, the interquartile range of this data set is 37 (Option C).