Paste or type any list of numbers and instantly get the mean, median, mode, range, sum and count. Switch to weighted mode for grade averages, portfolio returns and any average where some values matter more than others.
Mean (Average)
18.14
Median
15
Mode
15
Range (max − min)
18
Count / Sum
7 / 127
How to use this average calculator
Simple mode: type or paste your numbers — commas, spaces or new lines all work. Mean, median, mode, range, count and sum update as you type.
Weighted mode: enter the values and their weights in the same order. Perfect for grade point averages where subjects carry different credits, or portfolio returns where holdings differ in size.
Formulas and methodology
Mean = Sum of values ÷ Count
Median = Middle value of the sorted list
(average of two middle values if count is even)
Mode = Most frequently occurring value(s)
Weighted = Σ(value × weight) ÷ Σ(weights)
Worked example — data: 12, 15, 18, 15, 22, 30, 15
Mean = (12+15+18+15+22+30+15) ÷ 7 = 127 ÷ 7 ≈ 18.14
Sorted = 12, 15, 15, 15, 18, 22, 30 → Median = 15 (4th of 7)
Mode = 15 (appears 3 times)
Range = 30 − 12 = 18
Weighted example — marks 85, 72, 90 with credits 2, 3, 5:
(85×2 + 72×3 + 90×5) ÷ (2+3+5) = 836 ÷ 10 = 83.6
Method: standard measures of central tendency as defined in NCERT statistics; the weighted mean follows the same definition used for CGPA and index calculations.
Mean, median or mode — which average should you trust?
Three averages, three different questions
"Average" is not one number — it's a family of three, and they answer different questions. The mean shares the total out equally: total marks divided by number of students. The median finds the middle person: half the values sit above it, half below. The mode reports what happens most often: the most common shoe size, the most frequent score. On tidy, symmetric data all three land close together. On messy real-world data they can tell wildly different stories.
When the mean lies: the outlier problem
Imagine nine employees earning ₹30,000 a month and one director earning ₹10,00,000. The mean salary is ₹1,27,000 — a figure that describes nobody in the room. The median is ₹30,000, which describes almost everyone. This is why income, house prices and hospital costs are properly reported as medians: a handful of extreme values drags the mean far away from the typical experience. Whenever your data can contain a few huge values, reach for the median.
When you genuinely want the mean
The mean is the right tool when the total itself matters. Average revenue per customer, average rainfall, average runs per over — in each case you'd happily multiply the mean back by the count to recover a meaningful total. The mean also uses every data point, which makes it the foundation of most further statistics, from standard deviation to regression.
Weighted averages: when values aren't equal citizens
A simple mean treats every value identically, but a 5-credit mathematics course should influence your CGPA more than a 1-credit elective. The weighted average multiplies each value by its importance before dividing by the total weight. The same logic prices index funds (each stock weighted by market size), computes a portfolio's return (each holding weighted by amount invested), and averages a product's star rating across differently-sized review batches.
Range: the quickest measure of spread
Two classes can share a mean score of 60 while one spans 55–65 and the other spans 20–95. The range — maximum minus minimum — is the fastest way to spot that difference. It's crude (a single outlier stretches it) but as a first look at consistency it's hard to beat: a small range means the average genuinely represents the data; a huge range means you should look deeper before trusting any single summary number.
A practical habit
When you meet an "average" in the news or a report, ask which one it is. If the story involves money or anything with a few extreme values and only quotes the mean, the typical case is probably lower than the headline suggests. Computing both takes seconds — this calculator gives you all of them at once.
Frequently asked questions — Average Calculator
What is the difference between mean and average? ▼
In everyday usage 'average' almost always means the arithmetic mean — the sum divided by the count. Technically, median and mode are also averages (measures of central tendency).
When should I use the median instead of the mean? ▼
When the data contains outliers or is skewed — salaries, house prices, wealth. The median reflects the typical value while the mean gets pulled toward the extremes.
Can a data set have more than one mode? ▼
Yes. If two values tie for most frequent, the set is bimodal and both are reported. If every value appears exactly once, there is no mode.
How is the median found with an even count? ▼
Sort the values and average the two middle ones. For 4, 8, 10, 14 the median is (8+10)÷2 = 9.
What is a weighted average used for? ▼
Any average where items differ in importance: CGPA (credits as weights), portfolio returns (investment amounts as weights), stock indices (market capitalisation as weights) and combined ratings.
How do I calculate CGPA with this tool? ▼
Use weighted mode. Enter your grade points as values and each subject's credits as weights, in the same order. The result is your credit-weighted grade point average.
What does the range tell me? ▼
How spread out the data is: maximum minus minimum. A small range means values cluster near the average; a large range warns that the average may hide big variation.
Does the order of my numbers matter? ▼
No for mean, mode, range and simple averages. For the weighted mode, only the pairing matters — the first value pairs with the first weight, and so on.
Disclaimer: Results are for educational purposes. For institutional grade calculations, follow your university's official CGPA formula, as rounding and grading rules vary between institutions.