Need a quick way to find the average of your grades, sales numbers or any list of values? This free average calculator works out the mean, median, mode, range, sum and count for you in one click. Just paste your numbers, hit Calculate Statistics and you’ll get clean results with an easy step-by-step explanation.

Your Average Results

📈 Mean (Average)

The mean is what most people simply call the “average”. Add up all of your values and divide by how many values you have. Use it when your data doesn’t have extreme outliers. For percentage-based work you can also try our Percentage Calculator.

🎯 Median (Middle)

The median is the middle value when your numbers are sorted. It’s much less affected by very high or very low values, which makes it ideal for things like house prices or incomes.

🔢 Mode (Most Frequent)

The mode is the number that appears most often. It’s helpful when you want to know the most common grade, shoe size or product option. For comparing ratios between values, take a look at the Ratio Calculator.

📏 Range (Spread)

The range is simply the highest value minus the lowest one. A small range means your data is tightly packed, while a large range shows big differences. If you need to understand change over time, our Date Calculator can also help.

What Is an Average? Mean, Median, Mode & Range in Plain Language

Whenever you hear someone say “on average…”, they’re trying to turn a lot of raw numbers into one simple story. Averages are the shortcut that help you quickly answer questions like: “How am I doing in this class?”, “Are my sales improving?” or “What does a typical day look like?”

On this page we’ll walk through the four most useful ideas behind averages – mean, median, mode and range – using human-friendly examples. You can follow along with your own data in the calculator above, or test things using sample grades, sales or temperatures.

1. Mean: the classic “add everything and divide” average

The arithmetic mean is the standard average you learned in school. You add all values together and divide by how many there are. The mean is great when your data is fairly balanced and you want every value to count equally.

Mean formula
Mean = (Sum of all values) ÷ (Number of values)

Example – test scores:
Scores: 85, 90, 78, 92, 88
Sum = 85 + 90 + 78 + 92 + 88 = 433
Count = 5
Mean = 433 ÷ 5 = 86.6
→ Your average test score is 86.6%.

The mean is used everywhere: from calculating grade averages to working out the typical monthly payment in a Loan Calculator or Compound Interest Calculator. Just remember that a single extreme value can drag the mean up or down.

2. Median: the value sitting in the middle

The median is the middle value once you sort your data from smallest to largest. If you have an even number of values, the median is the average of the two middle ones. It’s especially useful when your data has outliers.

Steps to find the median:
1. Sort your numbers from smallest to largest.
2. If you have an odd count, take the middle value.
3. If you have an even count, average the two middle values.

Example – house prices:
Prices: $180k, $195k, $210k, $205k, $190k, $850k
Sorted: $180k, $190k, $195k, $205k, $210k, $850k
Median = (195k + 205k) ÷ 2 = $200k
→ The median gives a much more realistic “typical” price than the mean here.

That’s why you’ll often see median income or median house price quoted in news articles – it’s more robust when a few people earn or own far more than everyone else.

3. Mode: the value that keeps showing up

The mode is simply the value that appears most often. You can use it with numbers, but also with categories such as colours, shirt sizes or product variants.

Finding the mode:
• List the frequency of each value.
• The value with the highest frequency is the mode.

Example – shoe sizes sold in a week:
Sizes: 7, 8, 9, 8, 10, 8, 7, 8, 9, 8
Size 7 → 2 pairs
Size 8 → 5 pairs (mode)
Size 9 → 2 pairs
Size 10 → 1 pair
→ Size 8 is the most popular size to keep in stock.

In your own data, the mode is great for seeing which option people choose most often – for example the most common BMI category when using the BMI Calculator.

4. Range: how spread out your data really is

While the mean, median and mode tell you about the “center” of your data, the range tells you how wide it spreads from lowest to highest.

Range formula
Range = Maximum value − Minimum value

Example – daily temperatures (°C):
18, 21, 19, 24, 20, 22, 19
Min = 18, Max = 24
Range = 24 − 18 = 6°C
→ Temperatures only swing by about six degrees across the week.

A small range means your values are consistent, which is ideal for things like manufacturing or budgeting. A very large range suggests volatility and possible outliers.

Common mistakes when working with averages

  • Forgetting to clean the data. Remove stray text like “kg” or “%” and keep only numbers before you paste.
  • Not sorting before finding the median. Median always comes from a sorted list.
  • Using the mean when your data has extreme values. In those cases, also check the median.
  • Ignoring the range. Two datasets can have the same mean but very different spreads.
  • Mixing units. Never combine centimetres with metres or kilograms with pounds in the same calculation.

When should you use each average?

Use the mean when…

You want every value to count equally, your data is fairly symmetrical, and you plan to do more statistics with the results – for example when analysing investment returns with our Auto Loan Calculator or Mortgage Calculator.

Use the median when…

Your data has outliers or is skewed – such as salaries, property prices or tests where a few people scored extremely high or low.

Use the mode when…

You care most about what happens most often: the most popular option, the most common error code or the most frequent rating.

Use the range when…

You want to quickly understand variability: how much your weight fluctuates across a month, or how wide your daily spending swings compared to your budget from the Budget Calculator.

Wrap-up: turn raw numbers into clear stories

Averages are simple ideas, but they unlock a lot of insight. Once you get comfortable with mean, median, mode and range, you can look at almost any list of numbers and instantly understand what’s typical, what’s extreme and how stable things are.

Use the calculator at the top of this page whenever you need a quick check on grades, stats, finance data or personal tracking. Paste your numbers, see all the key averages at once and export the results if you want to save them for later or share them with someone else.

And if you’re exploring more maths tools, don’t forget to visit our Basic Calculator, Area Calculator and BMR Calculator for other everyday calculations.

🚀 Ready to try it? Scroll back up, paste your data into the box and hit Calculate Statistics. In a second you’ll know your mean, median, mode and range – no spreadsheet formulas required.

Average Calculator – Frequently Asked Questions

How do I use this average calculator?

Paste or type your numbers into the input box, separated by commas, spaces or new lines, then press Calculate Statistics. The tool instantly shows your mean, median, mode, range, sum and count, plus a sorted list of your data.

What types of averages does the calculator show?

The calculator displays the arithmetic mean, median, mode, range, sum and total count of your values. It also highlights the minimum and maximum numbers and explains how each measure was calculated.

Can I use it to calculate my grade average?

Yes. Enter your quiz scores, assignment marks or exam results. The mean gives your overall average, while the median reveals your middle score and the mode shows what you tend to score most often.

Does it work with decimals, negative numbers and large values?

Absolutely. You can mix whole numbers, decimals and negative values in the same list. As long as each entry is a valid number, the calculator will include it.

Why are my mean and median so different?

If your data has extreme values (for example one very high sale or one very low test score), the mean is pulled towards that outlier. The median is more stable and often gives a better sense of a “typical” value in that situation.

Is there any limit on the amount of data?

You can safely paste hundreds of numbers for normal use. For very large datasets, it helps to remove extra spaces and text first so the page stays fast.

Can I export my results to Excel or Google Sheets?

Yes. After calculating, use the Download TXT or Download Excel / CSV buttons. The exported file contains your sorted data and all calculated statistics ready to open in Excel or Google Sheets.