Average Calculator
Calculate mean, median, mode, standard deviation, variance, and visual distribution.
Mean
10.375
Median
10.5
Mode
12
Range
18
Sample Std Dev (s)
5.3436
Population Std Dev (σ)
4.9984
Sample Variance (s²)
28.5536
Population Variance (σ²)
24.9844
Count
8
Sum
83
Min
3
Max
21
Sorted Numbers (Ascending)
3, 7, 7, 9, 12, 12, 12, 21
Distribution (Box Plot)
Min: 3
Q1 (25%): 7
Median: 10.5
Q3 (75%): 12
Max: 21
Understanding Average & Descriptive Statistics
The mean is the arithmetic average (sum ÷ count). The median is the middle value once sorted—highly robust against outlier values. The modeis the most frequently occurring number. Standard deviation and variance measure dispersion. Population formulas assume the input set is the entire group, while sample formulas apply Bessel's correction (N - 1 denominator) for unbiased estimates of a larger population. The Box Plot visualizes the five-number summary: Min, Q1, Median, Q3, and Max. All calculations run locally in the browser.
Private & free — this tool runs entirely in your browser.
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