1 pointSuppose, we have 5 observations such that 29, 48, 30, 35, 99. Calculate the Inter Quartile Range (IQR) of the data.19184849

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

1. First, arrange the data in ascending order: 29, 30, 35, 48, 99.

2. Then, find the median (Q2). Since we have 5 observations, the median is the middle number, which is 35.

3. Next, find the lower quartile (Q1). This is the median of the lower half of the data. Since we have two numbers (29 and 30) in the lower half, the lower quartile is the average of these two numbers. So, Q1 = (29 + 30) / 2 = 29.5.

4. Similarly, find the upper quartile (Q3). This is the median of the upper half of the data. Since we have two numbers (48 and 99) in the upper half, the upper quartile is the average of these two numbers. So, Q3 = (48 + 99) / 2 = 73.5.

5. Finally, subtract Q1 from Q3 to find the Inter Quartile Range (IQR). So, IQR = Q3 - Q1 = 73.5 - 29.5 = 44.