Descriptive Statistics Calculator Online

Calculate all key descriptive statistics instantly: mean, median, mode, standard deviation, variance, quartiles, skewness, kurtosis and more. Paste your data and get results in real time.

Central Tendency
Mean –
Median –
Mode –
Count (N) –
Sum –
Dispersion
Std Dev –
Variance –
Range –
CV –
Position
Min –
Max –
Q1 (25%) –
Q3 (75%) –
IQR –
Skewness –
Kurtosis –
Box Plot
Frequency Distribution

Histogram with automatic bin width using Sturges' rule.

Summary for your report

Utilities Studio

Want this utility on your website?

Customize colors and dark mode for WordPress, Notion or your own site.

Go Ahead

Frequently Asked Questions

What is the difference between population and sample standard deviation?

Population standard deviation divides by N (all elements are known). Sample standard deviation divides by N-1 (Bessel's correction) to correct the bias when estimating from a subset. This calculator uses sample standard deviation (N-1), which is the most common choice in research and data analysis.

What does a positive or negative skewness mean?

Skewness measures the asymmetry of your data distribution. Positive skewness (right skew) means the tail extends to the right and most values cluster on the left. Negative skewness (left skew) is the opposite. A value near 0 indicates a roughly symmetric distribution.

What is kurtosis and what does it indicate?

Kurtosis measures the "heaviness" of the tails relative to a normal distribution. This calculator returns excess kurtosis, where 0 is the baseline (normal distribution). Positive values (leptokurtic) indicate heavier tails and sharper peaks. Negative values (platykurtic) indicate lighter tails and flatter peaks.

What format should my data be in?

Paste your numbers separated by commas, spaces, semicolons, or line breaks. Examples: "1, 2, 3, 4" or "1 2 3 4" or one value per line. The calculator ignores non-numeric characters automatically.

# Descriptive Statistics Calculator: All Key Metrics in One Place

Whether you are a student, researcher, or data analyst, the Descriptive Statistics Calculator gives you an instant, complete statistical summary of any numerical dataset. Paste your data and get 15 statistics calculated simultaneously — no spreadsheet software required.
15 Statistics Calculated
Live Real-Time Results
Free No Registration

# Statistics Calculated

Statistic Description
Count (N)Total number of values in the dataset.
MeanThe arithmetic average of all values.
MedianThe middle value when data is sorted. Robust to outliers.
ModeThe most frequently occurring value(s).
Std DevSample standard deviation (divides by N-1).
VarianceSquare of the sample standard deviation.
Min / MaxSmallest and largest values in the dataset.
RangeDifference between the maximum and minimum values.
Q1 / Q3First and third quartiles (25th and 75th percentiles).
IQRInterquartile range: Q3 minus Q1. Measures central spread.
SkewnessAsymmetry of the distribution relative to its mean.
KurtosisExcess kurtosis: tail weight relative to a normal distribution.
When to Use Median Instead of Mean
If your data has significant outliers (e.g., income data, housing prices), the median is a more representative measure of central tendency than the mean, which is pulled toward extreme values.

# Interpreting the Histogram

The frequency histogram shows how your values are distributed across equal-width bins, calculated automatically using Sturges' rule (k = 1 + log₂N). A symmetric bell shape suggests a normal distribution. Skewed shapes confirm the skewness value shown in the results.

# Quick Reference Glossary

IQR
Interquartile Range. The spread of the middle 50% of your data. Used to identify outliers.
Skewness
Measures distribution asymmetry. Positive = right tail longer. Negative = left tail longer.
Excess Kurtosis
Tail heaviness compared to a normal distribution. 0 is normal; positive means heavier tails.
Bessel's Correction
Dividing by N-1 instead of N when computing sample variance to reduce bias in estimation.

Bibliographic References

More utilities from Statistics and Probability Tools

Chi Square Independence Test Calculator Online

Determine whether a statistical relationship exists between two categorical variables. Fill in the observed frequency matrix and calculate the P-Value instantly.

Use Tool

AB Test Hypothesis Testing Calculator Online

Compare two groups (A and B) to determine whether there is a statistically significant difference in their conversions or means. Calculate the P-Value instantly.

Use Tool

Sample Size Calculator Online

Calculate the exact number of people needed for your study. Includes options for finite or infinite population, adjustable confidence levels and margin of error.

Use Tool

Pearson Correlation Calculator Online

Calculate Pearson's r coefficient, the coefficient of determination r², and the linear regression line from data pairs. 100% private and local tool.

Use Tool

Normal Distribution Calculator Online

Calculate normal distribution probabilities instantly: P(X ≤ a), P(X ≥ a), P(a ≤ X ≤ b) and inverse normal. Enter mean and standard deviation and visualize the Gaussian bell curve with the shaded area.

Use Tool

Confidence Interval Calculator Online

Calculate confidence intervals for the population mean using Z or Student t distributions. Enter the sample mean, standard deviation, sample size, and confidence level to get the interval, margin of error, and critical value instantly.

Use Tool