Descriptive Statistics Calculator | Std Dev & Box Plot
Calculate Mean, Median, Mode, Variance, Standard Deviation, and Quartiles for any dataset. Includes outlier checks and dynamic SVG Box Plots.
Separate your numbers using commas, spaces, or line breaks.
Mean (Average)
5
Median
4.5
Count (n)
8
Range
7
SVG Box-and-Whisker Plot
Central Tendency metrics
Mean (Average)5
Median (Middle)4.5
Mode4
Mid-Range5.5
Dispersion & Variability
Standard Deviation (Sample)2.13809
Variance (Sample)4.571429
Mean Absolute Dev (MAD)1.5
Sum of Squares (SS)32
Quartiles & Outlier Fences
Quartile 1 (Q₁)4
Quartile 3 (Q₃)5.5
Interquartile Range (IQR)1.5
Lower Fence (Q₁ - 1.5×IQR)1.75
Upper Fence (Q₃ + 1.5×IQR)7.75
Outliers Detected9
90th Percentile Value7.6
Descriptive Workings Logs
Parsed dataset containing 8 numeric items.
Sorted dataset: [2, 4, 4, 4, 5, 5, 7, 9]
Calculated Sum = 40, Mean (μ) = 40 / 8 = 5.000000
Solved Median = 4.500000
Found Mode(s): [4] with frequency of occurrence = 3
Sum of Squares (SS) = Σ(x_i - Mean)² = 32.000000
Variance calculations:
- Sample Variance (s²) = SS / (n - 1) = 4.571429
- Sample Std Dev (s) = √s² = 2.138090
- Population Variance (σ²) = SS / n = 4.000000
- Population Std Dev (σ) = √σ² = 2.000000
Quartiles & Outlier Fences:
- Q₁ (25th percentile) = 4.0000
- Q₃ (75th percentile) = 5.5000
- IQR = Q₃ - Q₁ = 1.5000
- Lower Tukey Fence = Q₁ - 1.5 * IQR = 1.7500
- Upper Tukey Fence = Q₃ + 1.5 * IQR = 7.7500
- Detected Outliers outside fences: [9]
Solved custom 90th percentile = 7.600000