Average Calculator
Mean, median, mode, range and standard deviation from any list of numbers.
TL;DR — Average Calculator: An average calculator summarises a list of numbers with several measures of central tendency and spread: arithmetic mean (average), median (middle value), mode (most frequent), range (max − min) and standard deviation (typical distance from the mean). Cal44 accepts comma- or space-separated numbers and returns all measures together.
What is the Average Calculator?
An average calculator summarises a list of numbers with several measures of central tendency and spread: arithmetic mean (average), median (middle value), mode (most frequent), range (max − min) and standard deviation (typical distance from the mean). Cal44 accepts comma- or space-separated numbers and returns all measures together.
How to use the Average Calculator
- Paste or type numbers separated by commas, spaces or newlines.
- Read the mean, median, mode, range, count, sum and standard deviation.
Formula
Mean = Σx ÷ n Median = middle value after sorting Range = max − min σ = √( Σ(x − mean)² ÷ n )
For even n, the median is the average of the two middle values. Mode is the value that appears most often (a set may have no mode or multiple modes).
Worked example
Numbers: 4, 8, 15, 16, 23, 42. n = 6. Sum = 108. Mean = 18. Median = (15 + 16) ÷ 2 = 15.5. Range = 42 − 4 = 38. Std dev ≈ 12.71.
Frequently asked questions
When should I use median instead of mean?
Use the median when the data has outliers or is skewed — for example, household incomes or house prices. The median better represents the "typical" value.
What does standard deviation mean?
It measures how spread out the numbers are. A small σ means values cluster near the mean; a large σ means they're scattered.
Sample vs population standard deviation?
Cal44 uses population standard deviation (dividing by n). For sample standard deviation (dividing by n − 1), use Bessel's correction.
What if all numbers are the same?
Mean = median = mode = that number. Standard deviation = 0. Range = 0.
Can the calculator handle decimals and negatives?
Yes. Use a period as the decimal separator and a minus sign for negatives.