To understand the differences between mean, median, mode, and range, let's break down what each one means and how they are used:

1. Mean: The mean is like the average of a group of numbers. You find it by adding all the numbers together and then dividing by how many numbers there are. For example, if we have the numbers {2, 4, 6}, we can calculate the mean like this: $\text{Mean} = \frac{2 + 4 + 6}{3} = 4$

2. Median: The median is the middle number in a list when the numbers are arranged in order. If there is an odd number of numbers, it's simply the center number. If there is an even number of numbers, it’s the average of the two middle numbers. For example, if we have the numbers {1, 3, 5, 7}, the median is: $\text{Median} = \frac{3 + 5}{2} = 4$

3. Mode: The mode is the number that appears the most in a list. In the example {1, 2, 2, 3, 4}, the mode is 2 because it shows up more than any other number.

4. Range: The range tells us how spread out the numbers are. We find it by subtracting the smallest number from the largest number. For the list {3, 7, 2, 5}, the range is: $\text{Range} = 7 - 2 = 5$

By knowing mean, median, mode, and range, we can learn a lot about the data we're looking at. These measures help us understand and interpret the information better.