📊 Average Percentage Calculator
📘 What Is an Average Percentage?
An average percentage is the overall percentage value derived from multiple individual percentages. You can calculate it using a simple mean when all values represent equal weight, or by using the weighted average of percentages when each value comes from a group of different size (i.e., different sample sizes).
🧮 How to Average Percentages
✔ When All Groups Are the Same Size (Simple Average)
Use this method if each percentage represents an equal number of observations.
Formula:
Average Percentage = (p1 + p2 + ⋯ + pn) / n
Example:
If four students scored 70%, 80%, 60%, and 90%, the average of the 4 percentages is:
(70 + 80 + 60 + 90) / 4 = 75%
Use our free mean calculator if you want to average numbers without weights.
✔ When Sample Sizes Are Different (Weighted Average)
This is the correct way to average percentages when each one is based on a different number of people or items.
Weighted Average Percentage Formula:
Weighted Average = (p1 × w1 + p2 × w2 + ⋯ + pn × wn) / (w1 + w2 + ⋯ + wn)
Where:
- p is the percentage value
- w is the sample size (weight)
Example:
- 64% of 300 people eat pancakes weekly
- 42% of 450 people do the same
- 36% of 250 people also do
Use the formula:
(64 × 300 + 42 × 450 + 36 × 250) / (300 + 450 + 250)
= 47,100 / 1,000 = 47.1%
Use our weighted average calculator above to do this instantly.
📊 Why Sample Size Matters
A common mistake in calculating average percentage is forgetting that sample size affects the outcome. 90% of 10 people isn’t the same as 90% of 1,000 — and the statistical average needs to reflect that. Our tool handles that automatically.
🛠️ Features of Our Average Calculator
- 📌 Supports up to 10 entries
- 🎯 Handles both mean of percentages and weighted averages
- 🧾 Gives a step-by-step breakdown
- 💡 Helps avoid errors like percent error in reports
- 🔍 Useful in surveys, education, finance, and statistics
📗 Frequently Asked Questions
How do I calculate the average percentage?
Use the weighted average formula above. If the sample sizes are equal, use the arithmetic average.
Can I average percentages?
Yes, but you must check if each percentage is based on equal or different-sized groups.
How do I add percentages to get an average?
Multiply each percentage by its sample size, sum those products, then divide by the total of all sample sizes.
How can I calculate the average percentage in Excel?
Use:
=SUMPRODUCT(B2:B4, C2:C4)/SUM(C2:C4)
Where column B has percentages and C has sample sizes.
What’s the formula for weighted average of percentages?
See the formula above. Or use our calculator — it’s faster and accurate.
🔍 Try Our Average Percentage Calculator
Skip the manual math. Just enter your percentages and sample sizes above. It works for everything from test scores to survey results and performance metrics.
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