Comprehensive Statistics Calculator
Compute full descriptive statistical profiles including quartiles, IQR, coefficient of variation, skewness, and variance.
6 numbers
Count
6
Sum
108
Mean
18
Median
15.5
Min
4
Max
42
Range
38
Q1
8
Q3
23
IQR
15
Pop. Std Dev (σ)
12.3153
Sample Std Dev (s)
13.4907
Pop. Variance (σ²)
151.6667
Sample Variance (s²)
182
Coeff. of Variation
74.9485%
Skewness
0.9075
How to Use the Statistics Calculator
- Paste your dataset numbers separated by spaces, tabs, or commas.
- The calculator parses all entries and produces a comprehensive 16-point statistical summary.
- Examine central tendency, quartiles, dispersion, and distribution symmetry metrics.
Formulas & Principles
First Quartile (Q1): 25th percentile value
Third Quartile (Q3): 75th percentile value
Interquartile Range: IQR = Q3 - Q1
Coefficient of Variation: CV = (s / |mean|) × 100%
Sample Skewness: Fisher-Pearson standardized moment coefficient
Frequently Asked Questions
What is Interquartile Range (IQR)?
IQR is the difference between the 75th percentile (Q3) and the 25th percentile (Q1), measuring the spread of the middle 50% of your data.
What does skewness measure?
Skewness measures the asymmetry of the probability distribution about its mean. Positive skew indicates a right-tailed distribution; negative skew indicates a left-tailed distribution.
What is the Coefficient of Variation (CV)?
CV is the ratio of standard deviation to the mean, expressed as a percentage: CV = (s / |mean|) × 100%, allowing comparison of relative variability across datasets with different units.
Why this calculator matters
This calculator helps solve mathematical problems faster and with fewer manual arithmetic mistakes. It is useful for studying, research verification, technical engineering checks, and everyday problem-solving.
When to use it
Use it when you need a fast answer, a cross-check for manual calculations, or a clear step-by-step verification of your result.
Quick tips
Double-check your inputs, keep units consistent across all fields, and verify boundary conditions.
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