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Lesson ID: 11280
Bring together mean, median, mode, and range to tell the full story of your data—then apply them in creative, real-world projects!
The Data Detective Challenge
You’ve just been hired as the official statistician for a championship sports team. The coach hands you a stack of game scores and says:
“We need to know everything about our season—average performance, typical game score, most common result, and how much our scores vary. Can you do it?”
This is your chance to show off your math skills. You’ll use mean, median, mode, and range—four powerful tools that, when combined, give you the full story behind any set of numbers.
Step 1: Mean – The Average Performer
The mean is the mathematical average.
How to Find It
Add up all the numbers in your data set.
Divide the total by the number of data points.
Example Scores: 12, 18, 15, 20, 15
Total = 12 + 18 + 15 + 20 + 15 = 80
Number of scores = 5
Mean = 80 ÷ 5 = 16
The team’s mean score is 16 points per game.
Step 2: Median – The Middle Number
The median is the number in the middle when the data is in order.
How to Find It
Put the numbers in order from smallest to largest.
If there’s an odd number of data points, the median is the middle one.
If there’s an even number of data points, average the two middle numbers.
Example Scores: 12, 18, 15, 20, 15
Ordered: 12, 15, 15, 18, 20
Middle number = 15
Median score = 15 points.
Step 3: Mode – The Most Popular Result
The mode is the number that appears most often.
How to Find It
Count how many times each number appears.
The one with the highest frequency is your mode.
If two or more numbers tie, you can have multiple modes.
If every number appears only once, there is no mode.
Example Scores: 12, 18, 15, 20, 15
12 appears once, 18 once, 20 once, but 15 appears twice.
Mode = 15 points.
Step 4: Range – The Spread of the Scores
The range shows the difference between the smallest and largest numbers.
How to Find It
Find the smallest number (minimum).
Find the largest number (maximum).
Subtract the smallest from the largest.
Example Scores: 12, 18, 15, 20, 15
Smallest = 12
Largest = 20
Range = 20 ? 12 = 8 points
The team’s scores vary by as much as 8 points from game to game.
Putting It All Together
Each of these numbers tells you something different.
Mean → The overall average
Median → The middle or “typical” score
Mode → The most frequent score
Range → How much the scores vary
When you use all four, you get the complete story of the data.
Now that you’ve got the tools, it’s time to solve the coach’s challenge—and maybe even uncover a few surprises in the data!
Head to the Got It? section now.
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