Which "Average" Should You Use?
In everyday conversation, when people say "average," they are usually talking about the Mean. However, in statistics, there are three different ways to measure the central tendency of a dataset. Choosing the wrong one can completely misrepresent your data.
Mean (The Standard)
How to find it: Add all the numbers together and divide by the total count.
Best used for: Symmetrical data without massive outliers, like human heights or test scores.
Median (The Middle)
How to find it: Sort the numbers from smallest to largest and find the exact middle value.
Best used for: Skewed data with massive outliers, such as house prices or national salaries.
Mode (The Most Often)
How to find it: Find the number that appears the most frequently in the dataset.
Best used for: Categorical data, finding the most popular shoe size sold, or identifying a common repetition.
Understanding Range and Outliers
The Range is calculated by subtracting the smallest number (Min) from the largest number (Max). A very large range compared to a very small median usually indicates the presence of an Outlier—a number so big or so small that it throws off the Mean.
For example, if you have five people in a room making $50,000 a year, the Mean is $50,000. If a billionaire walks into the room, the new Mean jumps to millions of dollars, completely skewing reality. However, the Median will remain exactly at $50,000, providing a much more accurate picture of the group!