Interquartile mean

Okay kiddo, are you familiar with quartiles? You know, when you split a group of things into four equal parts, each part is called a quartile. The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1).

But sometimes, using the mean (average) of all the numbers in the group can be misleading because it can be affected by some very high or very low numbers. That's where the interquartile mean comes in.

The interquartile mean is found by adding up all the numbers in the 2nd and 3rd quartiles (between Q1 and Q3), and then dividing by the number of numbers in that range. This gives you a "middle" value that is more representative of the "typical" values in the group, without being too influenced by outliers.

So, imagine you have a group of 20 temperatures for 20 days in a month. The first quartile (Q1) represents the temperature of the coldest 5 days, and the third quartile (Q3) represents the temperature of the hottest 5 days. The interquartile range (IQR) would be the temperature difference between the hot and cold days. But instead of just averaging all the temperatures, the interquartile mean would only look at the temperatures between Q1 and Q3 (the days that were not the coldest or hottest), and give you a better idea of what the "average" temperature was for the month.

So, in short, the interquartile mean is a way to find the "middle" value of a group of numbers that is not influenced by extreme values.