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Mean, Median, Mode, Range Calculator
Enter a list of numbers separated by commas or spaces to compute mean, median, mode, range, geometric mean, sum, count, minimum, maximum, and a column chart of values.
Mean, median, mode, range calculator guide
Mean, median, mode, and range are the core descriptive statistics every data analysis starts with. This tool computes all four at once along with sum, count, minimum, maximum, geometric mean, and a column chart so you can get a complete snapshot of a data set in seconds.
The arithmetic mean (average) adds all values and divides by the count. It represents a typical value but can be distorted by outliers, which is why median or mode is often a better summary for skewed distributions.
The median is the middle value of the sorted list, or the average of the two middle values when the count is even. It is robust to outliers and is widely used in reports about income, real estate, and response times where long tails would mislead a mean.
The mode is the value that appears most often. A data set can have one mode, multiple modes, or no mode at all. When several values share the highest frequency, the calculator reports all of them as a multimodal result.
The range is simply the difference between the largest and smallest values. It is the quickest measure of spread, though it only reflects the two extremes. Together with mean and standard deviation, it gives a good intuition of dispersion.
The geometric mean is the n-th root of the product of n positive values. It is appropriate for rates, growth factors, and logarithmic data. The calculator requires all values to be positive for this metric.
The column chart visualizes every input in the order you provided it, making trends, outliers, and repeated values easy to spot at a glance.
How to use
- Paste or type a list of numbers separated by commas or spaces.
- Negative numbers and decimals are supported.
- Click Calculate to see mean, median, mode, range, and more.
- Review the sorted data set and column chart for quick distribution insight.
Core formulas
Mean: x̄ = Σxi / n. Median: middle of sorted list (or mean of two middle values if n is even). Mode: value(s) with maximum frequency. Range: max − min. Geometric mean: (x1 × x2 × … × xn)^(1/n) for positive xi.
Notes and limitations
- Median and range work on sorted order, so the calculator sorts a copy of your input.
- A data set is multimodal when several values share the highest frequency.
- When every value appears the same number of times, there is no unique mode.
- Geometric mean is only reported when every value is strictly positive.
FAQ
Do I need to sort my data first?
No. The calculator sorts a copy automatically when computing the median and range.
What if two values are tied for the mode?
They are both reported; the data set is bimodal or multimodal.
Why is the geometric mean missing sometimes?
It requires every value to be positive. Zero or negative values make it undefined.
Can I enter decimals and negatives?
Yes. Use commas, spaces, or new lines as separators. Decimals and negatives are supported.