Distribution Shape, Center & Spread Explorer

Drag the skew slider. Skewness pulls the mean (x̄) toward the long tail, away from the median. Adjust spread to see SD, IQR, and range grow or shrink while shape stays fixed.

mean (x̄)   median   mode (peak bar)

Mean (x̄)0
Median0
Mode0
SD (s)0
IQR (Q3−Q1)0
Range0

Try: push Skew fully right and confirm mean > median (long right tail, like incomes). Pull it fully left for mean < median. At center, mean ≈ median ≈ mode — the symmetric cue for z-scores. Then drag Spread and watch SD, IQR, and range scale together while the shape is unchanged.