Learn the definitions, formulas, and examples of mean, median, and mode, including practice problems with answers to master these fundamental statistical concepts.
Mean, Median, andMode
Mean (Average)
Definition: The average of a group of
numbers.
Formula: Mean = Sum of all values ÷ Number of values
1. Add all the numbers.
2. Count how many numbers there are.
3. Divide the sum by the count.
Example
Numbers: 2, 4, 6
Step 1: 2 + 4 + 6 = 12
Step 2: Count = 3
Step 3: 12 ÷ 3 = 4
Mean = 4
Median (Middle)
Definition: The middle value after arranging
the numbers from smallest to largest.
1. Arrange the numbers from smallest to
largest.
2. Find the middle.
3. If there is an even number of values,
average the two middle numbers.
Example (Odd)
Numbers: 7, 3, 5
Step 1: Arrange → 3, 5, 7
Step 2: Middle number = 5
Step 3: Median = 5
Example (Even)
Numbers: 2, 4, 6, 8
Step 1: Arrange → 2, 4, 6, 8
Step 2: The middle numbers are 4 and
6.
Step 3: (4 + 6) ÷ 2 = 5
Median = 5
Mode (Most Repeated)
Definition: The value that occurs most
frequently in a dataset.
1. Look at all the numbers.
2. See which number appears most often.
3. That number is the mode.
Example
Numbers: 2, 3, 3, 4, 5
Step 1: Count how many times each
number appears.
Step 2: 3 appears most often (twice).
Step 3: Mode = 3
Practice Assessment
A. Find the Mean B. Find the Median C. Find the Mode
1. 4, 6, 8 _______________
2. 5, 10, 15, 20 _______________
3. 3, 7, 5, 9 _______________
4. 12, 14, 16, 18 _______________
5. 2, 4, 6, 8, 10 _______________
6. 8, 10, 12, 14, 16 _______________
7. 5, 1, 3 _______________
8. 8, 2, 6, 4, 10 _______________
9. 20, 10, 40, 30 _______________
10. 9, 3, 7, 5 _______________
11. 12, 4, 8, 6, 10 _______________
12. 15, 5, 20, 10, 25, 30_______________
13. 2, 3, 3, 4, 5 _______________
14. 6, 6, 4, 5, 6, 7 _______________
15. 1, 2, 2, 3, 3 _______________
16. 4, 5, 6, 7 _______________
17. 8, 9, 8, 10, 8, 9 _______________
18. 5, 5, 6, 6, 7, 8, 5 _______________
Answers
A. Find the Mean B. Find the Median C. Find the Mode
1. 6 7. 3 13. 3
2. 12.5 8. 6 14. 6
3. 6 9. 25 15. Modes: 2 and 3
4. 15 10. 6 16. No mode
5. 6 11. 8 17. 8
6. 12 12. 17.5 18. 5