Empirical measure

An empirical measure is when you use real observations or data to figure out something about the world.

Say you want to know how many apples there are in a basket. To figure this out, you can count the apples one by one. This is an empirical measure, because you are using observations - the act of counting - to find out how many apples you have.

Another example could be finding out how much it rains in a certain area during a year. You can put a rain gauge outside and measure how much water collects in it each time it rains. After a year, you will have a collection of many observations that you can use to calculate the average rainfall in that area. This is another example of an empirical measure - you are using real data to find out more about the world.

Overall, an empirical measure is a way to learn more about things by counting or measuring them in real life.