Average & Statistics Calculator
Calculate mean, median, mode, range, variance, and standard deviation for datasets
Counted 7 valid numbers in sample.
Calculation Result
Arithmetic Mean (Average)
20.5714
Median: 22 • Mode: 22Count (N)
7
Sum
144
Min / Max
12 / 30
Range
18
Standard Deviation
6.1062
Variance
37.2857
How this calculator works
1
Type or paste numbers separated by commas or spaces.
2
Instantly view Count, Sum, Mean (Average), Median, Mode, Range, and Standard Deviation.
Formula & Mathematics
Descriptive Statistics Formulas
Mean = Σx / N; Sample Variance s² = Σ(x - μ)² / (N - 1)
Evaluates central tendency and spread across numeric lists.
Worked Example
Statistics for dataset: 4, 8, 6, 5, 3, 7
6 numbers in sample.
• Sum = 33, Count = 6
• Mean = 33 / 6 = 5.5
• Sorted: 3, 4, 5, 6, 7, 8 ⟹ Median = (5 + 6)/2 = 5.5
• Standard Deviation = 1.87
Mean is 5.5, Median is 5.5, and standard deviation is 1.87.
Frequently Asked Questions
Use median when your data has extreme outliers or skewed distribution, such as income or real estate prices.
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