Average Calculator

What is an Average Calculator?

This calculator takes a set of numbers and instantly shows you six useful statistics: the mean (the average everyone knows), median (the middle value), mode (the most repeated number), range (the gap between the smallest and largest), sum, and count.

You can also switch to Weighted mode when some numbers matter more than others — like calculating a course grade where the final exam counts more than homework.

How to Calculate Averages

Simple Mode (default)

1. Enter your numbers separated by commas or spaces (e.g., 85, 90, 78, 92)
2. Results appear instantly below

Weighted Mode

1. Tap Weighted in the mode toggle
2. Each row has two fields: Value (your number) and Weight (how important it is)
3. Enter one pair per row — for example, a test score of 85 with a weight of 50
4. Tap Add Row to add more pairs
5. To remove an extra row, tap the X badge on its top-right corner

What Each Result Means

Result	What it tells you
Mean	The classic average — add everything up and divide by how many numbers there are. In Weighted mode, numbers with higher weights pull the average toward them.
Median	The middle number when sorted. Useful when you have extreme values that would skew the mean (e.g., one very high salary in a group).
Mode	The number that appears most often. Shows “None” if every number is unique.
Range	Largest number minus smallest number. Tells you how spread out your data is.
Sum	All numbers added together.
Count	How many numbers you entered.

Good Examples

Example 1: Class Test Scores (Simple Mode)

A teacher wants to know the class average for a quiz.

Scores: 72, 85, 90, 68, 95, 88, 72, 91

Result	Value	Meaning
Mean	82.625	The class averaged about 83 points
Median	86.5	Half the class scored above 86.5
Mode	72	72 appeared twice — the most common score
Range	27	The gap between the lowest (68) and highest (95)

Example 2: Course Grade (Weighted Mode)

Your course grade is calculated from three components with different weights:

Assessment	Score	Weight
Homework	95	20
Midterm	78	30
Final Exam	85	50

Weighted Mean = 84.9

Without weights, the simple average would be 86 — but the weighted average is 84.9 because the final exam (85) carries 50% of the grade, pulling the result closer to it.

Example 3: Product Price Comparison (Simple Mode)

You found the same headphones at different stores: 49, 55, 42, 61, 45

Result	Value	Meaning
Mean	50.4	The average price is about $50
Median	49	The middle price point
Range	19	Prices vary by $19 across stores

Example 4: Investment Portfolio Return (Weighted Mode)

You have three investments with different amounts invested:

Investment	Return (%)	Amount Invested
Stock A	12	5000
Stock B	-3	2000
Stock C	8	3000

Enter returns as values and amounts as weights.

Weighted Mean = 7.8%

A simple average would say 5.67%, but the weighted average (7.8%) is more accurate because Stock A — your largest position — performed the best.

Simple vs. Weighted: When to Use Which

Use Simple when…	Use Weighted when…
All numbers are equally important	Some numbers matter more than others
Quick average of a list	Course grades with different percentages
Comparing prices	Investment returns with different amounts
Test scores (all same weight)	Survey results from different group sizes

Key Tips

• Use median when you have outliers. If one number is drastically different from the rest (like one $1M salary among$50K salaries), the median gives a more realistic picture than the mean.
• Weighted mode needs consistent units. Make sure all weights use the same scale — mixing percentages (50%) with points (500) gives wrong results.
• Mode can have multiple values. If two numbers tie for most frequent, both are modes. The calculator shows the first one found.
• Check your separators. The simple mode accepts commas or spaces. Don’t mix both in the same input (e.g., “1, 2 3” may parse unexpectedly).

Formula

Simple Mean

$\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}$

Weighted Mean

$\text{Weighted Mean} = \frac{\sum (value \times weight)}{\sum weights}$

Frequently Asked Questions

What is the difference between mean and median?

The mean adds everything up and divides. The median sorts the numbers and picks the middle one. When your data has extreme values (like one person earning 10x more than everyone else), the median gives a more realistic picture.

When should I use weighted average?

Whenever the numbers have different levels of importance. The most common example is school grades — a final exam worth 50% matters more than homework worth 10%.

What does “None” mean for Mode?

It means every number in your list appears exactly once — no number repeats. For mode to exist, at least one number must appear more than the others.

Can I enter negative numbers or decimals?

Yes. The calculator handles negative numbers, decimals, and zero correctly.