Statistics Calculator
Enter a list of numbers to get mean, median, mode, variance and standard deviation instantly.
This free statistics calculator takes any list of numbers — separated by commas, spaces or new lines — and instantly computes the most commonly needed descriptive statistics: count, sum, mean (average), median, mode, range, variance and standard deviation. Both population and sample versions of variance and standard deviation are shown, since the correct one to use depends on whether your data represents an entire population or just a sample drawn from it.
These statistics are the foundation of data analysis in school, research and business reporting. The mean describes the central tendency of a dataset, the median shows its middle value (less affected by outliers), the mode reveals the most frequent value, and standard deviation quantifies how spread out the values are around the mean.
Frequently Asked Questions
How do I enter numbers into this calculator?
Type or paste your numbers separated by commas, spaces, or one per line — the calculator automatically detects the separators and parses the values.
What is the difference between mean and median?
The mean is the sum of all values divided by the count. The median is the middle value when the data is sorted. The median is less sensitive to extreme outliers than the mean.
What is the mode?
The mode is the value (or values) that appear most frequently in the dataset. A dataset can have one mode, multiple modes, or no mode at all if every value appears the same number of times.
What is the difference between population and sample standard deviation?
Population standard deviation divides by N (the total number of data points) and is used when your data represents the entire group you care about. Sample standard deviation divides by N-1 and is used when your data is a sample drawn from a larger population, since it corrects for the tendency of a sample to underestimate the true variability.
What is variance?
Variance measures how far each number in the dataset is from the mean, on average, using squared differences. Standard deviation is simply the square root of variance, expressed in the same units as the original data.
Why do we square the differences when calculating variance?
Squaring prevents positive and negative deviations from cancelling each other out, and it gives more weight to larger deviations, which is useful for understanding data spread.
What does a low standard deviation mean?
A low standard deviation means most values are close to the mean, indicating the data is tightly clustered. A high standard deviation means the values are more spread out.
What is the range of a dataset?
The range is simply the difference between the maximum and minimum values in the dataset, giving a quick sense of the overall spread.
Can I use negative numbers or decimals?
Yes. The calculator accepts negative numbers, decimals, and numbers in scientific notation like 1.5e3.
Is this calculator suitable for large datasets?
Yes, it can process large lists of numbers instantly in your browser — no data is uploaded anywhere, all calculations happen locally.