Statistics Calculator
Calculate mean, median, mode, range, variance, and standard deviation
Statistical Analysis
Enter your data set to calculate comprehensive statistics
Separate values with commas, spaces, or line breaks. Decimals are supported.
Count
0
Sum
0
Mean (Average)
0
Median
0
Mode
-
Range
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Detailed Statistics
| Minimum Value | - |
| Maximum Value | - |
| First Quartile (Q1) | - |
| Third Quartile (Q3) | - |
| Interquartile Range (IQR) | - |
| Variance (Population) | - |
| Standard Deviation (Population) | - |
| Variance (Sample) | - |
| Standard Deviation (Sample) | - |
Sorted Data
Understanding Statistical Measures
Central Tendency
Mean (Average)
Sum of all values divided by the count.
Mean = Σx / n
Median
Middle value when data is sorted. Less affected by outliers.
Middle value of sorted data
Mode
Most frequently occurring value(s) in the dataset.
Most common value(s)
Spread & Range
Range
Difference between maximum and minimum values.
Range = Max - Min
Interquartile Range (IQR)
Range of the middle 50% of data (Q3 - Q1).
IQR = Q3 - Q1
Variability
Variance (Population)
Average squared deviation from the mean.
σ² = Σ(x - μ)² / n
Standard Deviation (Population)
Square root of variance. Measures data spread.
σ = √(Σ(x - μ)² / n)
Sample Variance
Variance calculated for sample data (n-1 denominator).
s² = Σ(x - x̄)² / (n-1)
Sample Standard Deviation
Standard deviation for sample data.
s = √(Σ(x - x̄)² / (n-1))
Quartiles
Q1, Q2, Q3
Values that divide sorted data into four equal parts.
Q2 = Median
Common Applications
- Grade analysis and test scores
- Sales and revenue analysis
- Quality control in manufacturing
- Scientific research data
- Sports performance metrics
- Financial data analysis
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