Calculate mean, median, mode, and range from any set of numbers instantly.
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Calculate Averages
Enter numbers separated by commas.
Mean
Median
Mode
Range
Understanding Averages
While "average" commonly means the arithmetic mean, our calculator provides four statistical measures: mean, median, mode, and range. Each tells you something different about your data.
Mean (Arithmetic Average)
Mean = Sum of all values ÷ Count of values
Median
The middle value when numbers are sorted. For even counts, it's the average of the two middle values.
Mode
The most frequently occurring value. A dataset can have multiple modes or no mode.
Range
Range = Maximum - Minimum
Example: Numbers: 10, 20, 20, 30, 40
Mean = (10+20+20+30+40) ÷ 5 = 24
Median = 20 (middle value)
Mode = 20 (appears twice)
Range = 40 - 10 = 30
When to Use Each Measure
Mean: Best for normally distributed data without extreme outliers
Median: Better for skewed data or when outliers are present
Mode: Useful for categorical data or finding most common values
Range: Quick measure of data spread
Frequently Asked Questions
Mean is typically used for grade averages. However, if one score is unusually low/high, median might better represent your typical performance.
Mean includes every value in the calculation. One extreme value shifts the mean toward it, while median stays at the center regardless of outliers.
An average is a single number that summarises a set of values. In everyday speech it usually means the mean, the total divided by the count, but statisticians recognise three distinct averages: mean, median and mode. Each describes the centre of a data set differently, and choosing the wrong one can produce a technically true statement that is thoroughly misleading.
How to Use This Average Calculator
Enter your numbers.Separate them with commas or spaces. Decimals and negative values are fine.
Read all three averages.You get the mean, median and mode together, so you can compare them.
Look at the gap between them.If the mean and median differ noticeably, your data is skewed, and the median is usually the more honest summary.
The Three Averages
Mean = sum of all values / number of values Median = the middle value when sorted (average of the two middle values if the count is even) Mode = the value that occurs most frequently
Worked Example: Where They Diverge
Annual salaries in a small company: 28,000, 31,000, 32,000, 33,000, 35,000, 240,000
Sorted, the two middle values are 32,000 and 33,000
Median = (32,000 + 33,000) / 2 = 32,500
Mode
No value repeats, so there is no mode
The mean says 66,500, but five of the six employees earn under 35,000. The median of 32,500 describes the workforce far more accurately.
This is not a contrived example. It is exactly why wage statistics, house prices and wealth data are almost always reported as medians. A single extreme value can drag the mean somewhere no actual data point sits.
Choosing the Right Average
Situation
Best Choice
Reason
Symmetric data, no outliers
Mean
Uses every value, statistically efficient
Income, house prices, wealth
Median
Resistant to extreme high values
Categories or preferences
Mode
Only average that works on non-numeric data
Grades with different weightings
Weighted mean
Reflects relative importance
Noisy time series
Moving average
Reveals trend beneath fluctuation
Weighted Averages
A weighted average is used when some values should count for more than others. It is the standard method for course grades, portfolio returns and any composite score.
A course graded 20% coursework, 30% midterm, 50% final
Coursework: 85 x 0.20 = 17.0
Midterm: 72 x 0.30 = 21.6
Final: 91 x 0.50 = 45.5
Weighted average = 17.0 + 21.6 + 45.5 = 84.1
The weighted grade is 84.1, whereas the plain mean of 85, 72 and 91 would be 82.7
Weights must sum to one
If your weights are given as percentages, convert them to decimals and confirm they total 1.0. If they are raw weights rather than percentages, divide the weighted sum by the total of the weights. Skipping this step is the usual cause of a weighted average that lands outside the range of the original values, which is always a sign something has gone wrong.
How Averages Get Misused
Quoting the mean on skewed data
Reporting mean income, mean house price or mean wealth without mentioning the median overstates the typical experience. It is technically accurate and practically misleading, which makes it one of the most common forms of statistical spin.
Averaging percentages directly
Averaging percentages that come from different-sized groups gives the wrong answer. A 50 percent success rate from 10 attempts and 80 percent from 1,000 attempts do not average to 65 percent; the larger group must be weighted accordingly.
Ignoring spread entirely
Two data sets can share an identical mean while being completely different in character. A statistician's standard warning is that a person with one foot in ice and one in boiling water is, on average, comfortable.
Always ask for the spread
An average without any measure of variation tells you very little. Ask for the range, the median alongside the mean, or the standard deviation. If someone reports only a mean and resists giving you anything else, that is usually worth noticing.
People Also Ask
The mean is the total divided by how many values there are. The median is the middle value once the data is sorted. The mode is the value that appears most often. They answer different questions, and when data is skewed they can differ dramatically, which is why quoting only one can be misleading.
Use the median when the data contains outliers or is skewed. Income is the standard example: a handful of very high earners pull the mean upwards so that most people earn less than the average. The median describes the typical case far better in these situations.
Multiply each value by its weight, add all those products, then divide by the sum of the weights. Course grades work this way: an exam worth 60 percent and coursework worth 40 percent are not simply averaged, they are weighted before being combined.
Yes. A set with two values tied for most frequent is bimodal, and one with several is multimodal. If every value appears exactly once, the set has no mode at all. This is one reason the mode is used less often than the mean or median.
A moving average takes the mean of a fixed number of recent values and recalculates it as new data arrives, smoothing out short-term noise to reveal an underlying trend. Seven-day averages are common in public health reporting and share price analysis for exactly this reason.
This calculator is provided for educational purposes. For research, academic or professional statistical work, consult appropriate methodology guidance for your field.