Definitions:

1. Mean: The mean is the average of a set of numbers. It is calculated by adding all the values together and dividing by the number of values.

   • Example: For the numbers 2, 4, 6, and 8: $\text{Mean} = \frac{2 + 4 + 6 + 8}{4} = \frac{20}{4} = 5$

2. Median: The median is the middle value in an ordered set of numbers. If the number of values is odd, it’s the middle number; if even, it’s the average of the two middle numbers.

   • Example (Odd Set): For the numbers 1, 3, and 5, the median is 3.
   • Example (Even Set): For the numbers 2, 4, 6, and 8, the median is $\frac{4 + 6}{2} = 5$.

3. Mode: The mode is the number that appears most frequently in a set of numbers. A set may have one mode, more than one mode, or no mode if all numbers appear equally.

   • Example: For the numbers 1, 2, 2, 3, and 4, the mode is 2, as it appears most frequently.

Would you like more examples or further details?

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Related Questions:

1. How do mean, median, and mode differ in skewed distributions?
2. What is the role of mean, median, and mode in real-world statistics?
3. Can a dataset have more than one mode?
4. What happens to the mean and median when outliers are present?
5. How do you calculate the weighted mean?

Tip: Always arrange numbers in ascending order before finding the median.