What is the interquartile range of this data set?1, 5, 27, 29, 34, 37, 48, 61, 72, 84, 96A.64B.45C.37D.10SUBMITarrow_backPREVIOUS

To find the interquartile range (IQR) of a data set, you need to follow these steps:

1. Arrange the data in increasing order: 1, 5, 27, 29, 34, 37, 48, 61, 72, 84, 96

2. Find the median (Q2) of the data set. Since there are 11 numbers, the median is the 6th number, which is 37.

3. Divide the data set into two halves. The lower half is: 1, 5, 27, 29, 34 and the upper half is: 48, 61, 72, 84, 96

4. Find the median (Q1) of the lower half. Since there are 5 numbers, the median is the 3rd number, which is 27.

5. Find the median (Q3) of the upper half. Since there are 5 numbers, the median is the 3rd number, which is 72.

6. Subtract Q1 from Q3 to find the IQR. So, IQR = Q3 - Q1 = 72 - 27 = 45

So, the interquartile range of this data set is 45 (Option B).