Simple Average
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Mean (Average)
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Sum
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Simple mean, weighted grades, GPA, portfolio returns — instantly.
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Everything you need to know about averages
They're the same calculation — except weighted average lets each value "vote" more than once. A weight of 3 means that value gets counted 3 times.
Side by side
| Simple Average | Weighted Average | |
|---|---|---|
| All items equal? | Always yes | You decide |
| Needs weights? | No | Yes |
| Best for... | Simple lists | GPA, grades, finance |
| Can be misleading? | Sometimes | Less often |
Concrete example: you scored 100 on a 5-point quiz and 60 on a 100-point exam.
Simple average: (100 + 60) / 2 = 80 — looks great!
Weighted average: (100×5 + 60×100) / 105 = 61.9 — much more honest.
Add everything up, then divide by the count of values. That's it. Every number counts the same — a 10 and a 90 are treated equally.
The formula
In math shorthand: Σx / n — where Σ just means "add them all up" and n is how many there are.
Worked example
You scored 80, 90, and 70 on three quizzes. What's your average?
Some things should count more than others. A weighted average lets you say "this one matters twice as much" — so bigger weights pull the result toward those values.
The formula
In math shorthand: Σ(x · w) / Σw
Worked example
You got 90 on a big test (counts 3×) and 70 on a small quiz (counts 1×). What's your weighted score?
Notice: the simple average would be (90+70)/2 = 80, but the big test pulls it up to 85 because it counts more.
Use a simple average when everything should count equally — like averaging the temperature each day. Use a weighted average when some things matter more than others, or when groups are different sizes.
Use weighted average when...
Quick rule: if all items are the same "size" or importance, use simple. If they're not, use weighted.