Calculate mean, median, variance and other indicators online
Our calculator allows you to quickly calculate the main statistical indicators: arithmetic mean, median, mode, dispersion and standard deviation. Just enter numbers separated by commas or spaces and get full statistical analysis.
1, 2, 3, 4, 5
Среднее: 3.0
Медиана: 3.0
Мода: No fashion
Дисперсия: 2.0
Ст. отклонение: 1.41
1, 2, 2, 3, 4, 4, 4
Среднее: 2.86
Медиана: 3.0
Мода: 4
Дисперсия: 1.27
Ст. отклонение: 1.13
10, 15, 20, 25, 30, 35, 40
Среднее: 25.0
Медиана: 25.0
Мода: No fashion
Дисперсия: 100.0
Ст. отклонение: 10.0
The arithmetic mean is the sum of all values divided by their number. This is one of the most important indicators of central tendency.
Mean = Σx/n
The median is the value that divides the ordered series in half. If the number of elements is even, the median is equal to the arithmetic mean of the two central values.
Median = the average value of an ordered series
The mode is the value that occurs most often in a data series. A series may have several modes or no mode at all.
Mode = most frequently occurring value
Variance shows how much the values deviate from the mean. The greater the variance, the greater the spread of data.
Variance = Σ(x - mean)² / n
The standard deviation is the square root of the variance. Shows the average deviation of values from the arithmetic mean.
Standard deviation = √variance
Statistical calculations are widely used in various fields:
Our online statistics calculator provides fast and accurate calculations with detailed results.
Instant calculation of all key statistical indicators
Support for entering numbers separated by commas or spaces
Beautiful display of results with color coding
Support 4 languages: Russian, English, Spanish, German
Responsive design for all devices
Completely free without registration
Accurate calculations with customizable accuracy
Our statistical calculator automatically calculates the arithmetic mean. Simply enter numbers separated by commas or spaces and get an accurate average calculation result.
The median is the value that divides an ordered series of data in half. Our median calculator automatically sorts the data and finds the central value, or the average of two central values.
Dispersion shows the spread of data relative to the mean. Standard deviation is the square root of the variance. Our variance calculator performs all calculations automatically with high accuracy.
The mode is the most frequently occurring value in a data series. Our modal calculator identifies all modal values and shows if there is no modal value.
Enter your information in the input field using commas or spaces as delimiters. The calculator will instantly calculate all the main statistical indicators for analyzing your data.
The arithmetic mean is the sum of all values divided by their number. The median is the central value of an ordered series. The median is more resistant to outliers and extreme values.
Our statistics calculator works with both the population and the sample. All formulas take into account the correct denominators for accurate statistical calculations.
Standard deviation shows the average deviation of values from the arithmetic mean. The larger the standard deviation, the greater the spread of data in your sample.
The mean shows the typical value, the median shows the central tendency, and the mode shows the most common values. Variance and standard deviation show the spread of data around the mean.
Yes, our online statistics calculator processes large amounts of data. Just enter all numbers separated by commas or spaces and get a complete statistical analysis.
Our calculator calculates all the basic descriptive statistics: mean, median, mode, variance, standard deviation, minimum, maximum and number of elements.
Central tendency is the typical or central value in the distribution of data. Basic measures of central tendency: arithmetic mean, median and mode.
The spread of data is measured by variance and standard deviation. Our calculator automatically calculates these metrics, which show how far the data deviates from the average.
Outliers are values that differ significantly from the rest of the data. The median is more resistant to outliers than the arithmetic mean, so it is often used to analyze data with extreme values.
For a normal distribution, the mean, median and mode are the same. Our calculator will help you determine how close your data is to a normal distribution.
Quantiles divide ordered data into equal parts. The median is the 50th percentile. Our calculator calculates principal quantiles to analyze the distribution of data.
For time series, mean, trend and volatility are important. Our calculator calculates basic statistics for analyzing time data.
The coefficient of variation is the ratio of the standard deviation to the mean, expressed as a percentage. Shows the relative variability of data regardless of units of measurement.
For qualitative data, the main indicators are fashion and frequency of occurrence. Our calculator determines the most common values and their distribution.
Skewness shows the deviation of the distribution from symmetry, kurtosis shows the sharpness of the distribution peak. These measures help evaluate the shape of the data distribution.
For financial data, average return, volatility (standard deviation) and risk are important. Our calculator helps you analyze financial performance and return on investment.
Confidence intervals show the range within which the true value of a parameter lies with a given probability. Our calculator calculates basic statistics to construct confidence intervals.
In medicine, means, medians for robustness to outliers, and standard deviations for assessing dispersion are important. Our calculator helps analyze medical data.
IQR is the difference between the third and first quartiles (Q3 - Q1). Shows the spread of the central 50% of the data and is less sensitive to outliers than standard deviation.
In quality control, averages, standard deviations, and control limits are important. Our statistics calculator calculates all the necessary indicators for statistical process control.
The z-score shows how many standard deviations a value deviates from the mean. Z = (x - μ) / σ, where x is the value, μ is the mean, σ is the standard deviation.
In marketing, average values of consumer preferences, median incomes, and standard deviations of prices are important. Our statistics calculator helps you analyze market data.
For a normal distribution: 68% of the data is within 1σ of the mean, 95% is within 2σ, 99.7% is within 3σ. Our statistics calculator shows the spread of your data.
For sociological data, modal values, medians for robustness against extreme responses, and standard deviations for assessing the consistency of opinions are important.
MAD is the median of absolute deviations from the median. A measure of dispersion that is more robust to outliers than standard deviation.
The online statistics calculator at Calc1.ru supports Russian, English, Spanish and German. Calculate mean, median, variance and other indicators for free!