Suppose, we have 5 observations such that 23, 39, 29, 34, 70. Calculate the Inter Quartile Range (IQR) of the data.

To calculate the Inter Quartile Range (IQR) of the data, follow these steps:

1. First, arrange the data in ascending order: 23, 29, 34, 39, 70.

2. Next, find the median (Q2) of the data. Since we have 5 observations, the median is the middle number, which is 34.

3. Then, find the lower quartile (Q1). This is the median of the lower half of the data. In this case, the lower half is 23 and 29. The median of these two numbers is (23+29)/2 = 26.

4. Find the upper quartile (Q3). This is the median of the upper half of the data. In this case, the upper half is 39 and 70. The median of these two numbers is (39+70)/2 = 54.5.

5. Finally, subtract Q1 from Q3 to find the IQR. So, IQR = Q3 - Q1 = 54.5 - 26 = 28.5.

So, the Inter Quartile Range (IQR) of the data is 28.5.