Suppose, we have 9 observations such that 37, 34, 24, 41, 113, 99, 119, 107, 114. Calculate the Inter Quartile Range (IQR) of the data.

Sure, here are the steps to calculate the Inter Quartile Range (IQR) of the data:

1. First, we need to arrange the data in ascending order: 24, 34, 37, 41, 99, 107, 113, 114, 119.

2. Next, we need to find the median (Q2) of the data. Since we have 9 observations, the median is the 5th observation, which is 99.

3. Then, we need to find the lower quartile (Q1). This is the median of the lower half of the data (not including the median if the number of observations is odd). In this case, the lower half of the data is 24, 34, 37, 41. The median of this data is the average of the 2nd and 3rd observations, which is (34+37)/2 = 35.5.

4. Similarly, we find the upper quartile (Q3). This is the median of the upper half of the data (not including the median if the number of observations is odd). In this case, the upper half of the data is 107, 113, 114, 119. The median of this data is the average of the 2nd and 3rd observations, which is (113+114)/2 = 113.5.

5. Finally, we subtract Q1 from Q3 to find the IQR. So, the IQR is 113.5 - 35.5 = 78.