📚 Measures of Central Tendency
1️⃣ Mean (Average)
Definition: Add up all the numbers, then divide by how many numbers you have.
Formula:
Mean = Sum of all values ÷ Number of values
Example: (4 + 6 + 10) ÷ 3 = 6.67
Cons: Mean can be affected if one number is too big or too small (we call it an outlier).
Note: If we have more numbers, one outlier doesn’t change the result much.
2️⃣ Median (Middle Value)
Definition: Put the numbers in order and pick the one in the middle!
If odd number of values:
Median = (n + 1) ÷ 2th term
Example: 1, 3, 5 → Median = 3
If even number of values:
Median = Average of the (n/2)th and (n/2 + 1)th terms
Example: 2, 4, 6, 8 → (4 + 6)/2 = 5
Cons: Median does not use all values in the data and outliers will not impact the result.
3️⃣ Mode (Most Frequent)
Definition: The number that shows up the most in a group.
Example: 2, 4, 4, 6 → Mode = 4
- Unimodal: One number occurs the most
- Bimodal: Two numbers occur the most
- Multimodal: More than two numbers occur equally the most
- No mode: All numbers occur the same number of times
🌟 Great! You’ve now mastered Mean, Median, and Mode! 🎉