Average Calculator
Calculate mean, median, mode, range, sum, and more. Free online average calculator for statistics and data analysis.
Definitions
Mean: Sum of all values divided by count (average)
Median: Middle value when sorted (or average of two middle values)
Mode: Most frequently occurring value(s)
Range: Difference between maximum and minimum values
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Last updated: January 2026
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Frequently Asked Questions
What's the difference between mean, median, and mode?
Mean is the sum divided by count (average). Median is the middle value when sorted. Mode is the most frequent value. For {2, 3, 3, 5, 7}: mean = 4, median = 3, mode = 3.
When should I use median instead of mean?
Use median when data has outliers or is skewed. For example, incomes {$30K, $35K, $40K, $45K, $500K} have mean $130K but median $40K—median better represents the typical value.
Can there be more than one mode?
Yes. Data can be bimodal (two modes) or multimodal (many modes). The set {1, 2, 2, 3, 3, 4} has two modes: 2 and 3. If no value repeats, there is no mode.
How do I find the median with an even number of values?
For an even count, the median is the average of the two middle values. For {1, 3, 5, 7}, the middle values are 3 and 5, so median = (3 + 5) / 2 = 4.
What is the range and why does it matter?
Range is the difference between the largest and smallest values (max − min). It shows data spread. Test scores {65, 70, 85, 90, 95} have range 95 − 65 = 30 points.