Average Calculator
Professional average calculation tool supporting arithmetic mean, geometric mean, quadratic mean, harmonic mean, median, mode and other statistical calculations
Average Calculator Documentation
What is Average Calculator?
Average Calculator is a professional statistical calculation tool that supports various types of averages including arithmetic mean, geometric mean, quadratic mean, harmonic mean, as well as statistical indicators such as median and mode. Suitable for academic research, business analysis, educational assessment and other scenarios.
Core Features
Calculation Types
Arithmetic Mean
Commonly referred to as the average or mean, it is the most basic and commonly used average indicator in statistics.
Geometric Mean
The nth root of the product of n values. When the number of values is even, the product of all values must be greater than or equal to 0.
Quadratic Mean
Quadratic mean, also known as Root Mean Square (RMS), is the square root of the arithmetic mean of the squares of a set of data.
Harmonic Mean
Harmonic mean, also known as the reciprocal mean, is the reciprocal of the arithmetic mean of the reciprocals of a set of statistical variables. To calculate harmonic mean, all values must be non-zero.
Median
Median, also known as the middle value, is a statistical term referring to the value in the middle position of a set of data arranged in order. It represents a value in a sample, population, or probability distribution that divides the value set into equal upper and lower parts. For a finite set of numbers, the median can be found by sorting all observations and finding the middle one. If there are an even number of observations, the median is usually the average of the two middle values.
Mode
Mode is the value that appears most frequently in a statistical distribution, representing the general level of the data. It is also the value that appears most often in a set of data. Sometimes there can be multiple modes in a set of numbers. If all values appear with the same frequency, then the data set has no mode.
Count
Counts the total number of valid values in the input data, used as the basis for calculating various averages.
Sum
The cumulative result of all input values, an important component in calculating the arithmetic mean.
Use Cases
学术研究
Academic Research: Data analysis, statistical research, experimental result processing
商业分析
Business Analysis: Sales data analysis, performance evaluation, market research
教育评估
Educational Assessment: Grade statistics, learning effectiveness evaluation, exam analysis
Notes
- • Geometric mean requires all values to be positive
- • Harmonic mean requires all values to be non-zero positive numbers
- • Supports positive numbers, negative numbers, decimals and integers
- • Automatically filters invalid data and empty lines
- • Supports multiple input formats: line breaks, comma-separated
Frequently Asked Questions
Why does geometric mean show as N/A?
Geometric mean requires all values to be positive. If the input contains negative numbers or zero, the geometric mean cannot be calculated and will display as N/A.
Why does harmonic mean show as N/A?
Harmonic mean requires all values to be non-zero positive numbers. If the input contains zero or negative numbers, the harmonic mean cannot be calculated and will display as N/A.
How is the median calculated?
The median is the value in the middle position after sorting all values by size. If the number of values is even, the average of the two middle values is taken as the median.
How many modes can there be?
There can be one or more modes. If multiple values appear with the same highest frequency, all of these values are modes. If all values appear with the same frequency, there is no mode.
What input formats are supported?
Multiple input formats are supported: one value per line (line break separated), English comma separated, Chinese comma separated. The system will automatically identify and extract valid numbers.