Advanced Average Calculator

The arithmetic mean is the simple average calculated by summing all values and dividing by the count. The geometric mean is the nth root of the product of n numbers, useful for growth rates and ratios. The harmonic mean is the reciprocal of the arithmetic mean of reciprocals, commonly used for rates and speeds.

Use a weighted average when different values have different levels of importance. For example, when calculating a final grade where exams count for 40%, homework for 30%, and participation for 30%, you would use weighted averages to accurately reflect the grade.

RMS is the square root of the arithmetic mean of the squares of the values. It's commonly used in physics, engineering, and signal processing to measure the magnitude of varying quantities, such as AC voltage or audio signals.

The median is the middle value when all numbers are sorted in order. If there's an odd number of values, the median is the middle number. If there's an even number of values, the median is the average of the two middle numbers.

No mode means that all values in your dataset appear with the same frequency (typically once each). A mode only exists when at least one value appears more frequently than the others.

No, the geometric mean is only defined for positive numbers. If your dataset contains zero or negative values, the geometric mean will show as "N/A". This is a mathematical limitation of the geometric mean calculation.

The harmonic mean involves dividing by each value, so including zero would result in division by zero, which is undefined. If your dataset contains zero, the harmonic mean will show as "N/A".

For weighted averages, you provide two sets of numbers: the values and their corresponding weights. Each value is multiplied by its weight, summed together, and divided by the total of all weights. The number of values and weights must be equal.

You can enter numbers separated by commas, spaces, or newlines. For example: "10, 20, 30" or "10 20 30" or each number on a separate line. The tool automatically parses the input regardless of the separator used.

Beyond the various types of averages, the tool calculates sum, count, minimum value, maximum value, and range (max - min). These statistics give you a comprehensive view of your dataset's characteristics.

The calculator uses JavaScript's floating-point arithmetic and displays results to 4 decimal places by default. For most practical applications, this provides sufficient precision. The underlying calculations maintain full floating-point precision.

Yes! The weighted average mode is perfect for calculating final grades. Enter the individual assignment or test scores as the values, and their percentage weights (like 30 for 30% of the final grade) as the weights.