Curve Defect Simulator
Enter boxplot values or drag the boxplot elements to visualize how distribution shape affects normality.
Five-Number Summary
Simulated Distribution Statistics
Sample Mean
Sample SD
Skewness
Excess Kurtosis
Skewness Warning
Leptokurtic Distribution
Heavy tails and sharp peak. Extreme values are more likely than a normal distribution predicts.
Platykurtic Distribution
Light tails and flat peak. Extreme values are less likely than a normal distribution predicts.
Approximately Normal
Skewness and kurtosis are within acceptable ranges for normality assumptions.
Preset Examples
Interactive Boxplot (drag lines to adjust)
Distribution vs Normal Curve
Understanding Skewness
|Skew| > 1: Substantial skew
Positive: Right tail longer
Negative: Left tail longer
Understanding Kurtosis
|Kurt| > 1: Notable deviation
Positive: Heavy tails, sharp peak
Negative: Light tails, flat peak
Boxplot Clues
Median off-center: Skewed
Unequal whiskers: Asymmetry
Mean ≠ Median: Non-normal