The median can be a better measure than the mean in some cases, especially when there are extreme values in the data. Here's why:

1. What They Mean:

   • The mean is like finding the average. You do this by adding all the numbers together and then dividing by how many numbers there are.
   • The median is the middle number when you put the data in order.

2. How They React to Outliers:

   • Think about this set of numbers: {1, 2, 2, 3, 100}.
   • If you find the mean, you get $\frac{1 + 2 + 2 + 3 + 100}{5} = 21.6$.
   • The median is $2$.
   • In this example, the outlier (100) really affects the mean and makes it look much higher than it actually is.

3. How It Works in Real Life:

   • When looking at incomes, if there are a few really high salaries, they can raise the mean and make it seem like everyone earns a lot. The median, though, gives a better picture of what most people really earn.

In short, the median can often show a clearer and more accurate picture, especially when the data is uneven or has extreme values!