![]() ![]() In Excel, IQR is best represented by using Box Plots charts (as it shows the data distributions based on the quartiles) Also read: How to Make a Bell Curve in Excel IQR*1.5 Rule to Find Outliers Since the IQR uses quartiles and not mean/average, it is a better measure to learn about the variability of datasets (especially when you have skewed distributions). On the other hand, if the IQR value is high, it tells me that the variability is high, and there is a large difference between the scores of students who scored in the bottom 25 percentile and the ones who scored in the top 25 percentile. So, if I take an example of scores of students in a class, a low IQR value tells me that students have scored consistently, and there is not a huge difference in the scores of students in the bottom 25 percentile and top 25 percentile. The IQR tells us how spread out the middle half of your data is (which is the range between the 25th and the 75th percentile value).Ī high IQR value indicates a greater spread of the middle data points, while a lower IQR value suggests that these points are closer together. QUARTILE.EXC excludes the 0 and 100 percentile values when doing the calculationĪlso read: How to Find Range in Excel How to Interprent Interquartile Range Value?.QUARTILE.INC includes the 0 and 100 percentile values when doing the calculation, and.QUARTILE function is kept for compatibility reasons, so you should not be using it.However, it does have the Quartile function that we can use for this purpose.īelow is a dataset of scores of students in a class, and I want to calculate the IQR for this dataset.Įxcel has three Quartile functions – QUARTILE, QUARTILE.INC, and QUARTILE.EXC. Now, let’s see how to calculate IQR in Excel using in-built formulas.Īs I mentioned, Excel does not have an inbuilt function to calculate the Interquartile Range. Also read: How to Calculate PERCENTILE in Excel Calculating Interquartile Range (IQR) in Excel In reality, these numbers could be anything and may not be in an ascending or descending order (as shown in the example next). Note: I have shown you a series of numbers in ascending order just for simplicity to explain the concept of IQR. So, in our example, the IQR would be: IQR = 7.5 - 2.5 Now, once you have the Quartile values, you can calculate the interquartile range by using the below formula: IQR = Quartile 3 - Quartile 1 ![]() Similarly, Quartile 2 would be 5, Quartile 3 would be 7.5, and Quartile 4 would be 10. In this range, that value would be 2.5 (which means that if you score 2.5 or below, then you would be at the bottom 25% according to this dataset) If I calculate the first quartile from this range, it will give me a number below which the first 25 percentile of the scores lies. Let’s assume that these are scores of students in a test. In statistics, a population or a dataset can be divided into four parts, and each part is called a quartile (called Q1, Q2, Q3, and Q4).įor the sake of explanation, let’s say I have a series of numbers as shown below in ascending order. ![]() What are Quartiles and InterQuartile Range?
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