Roll two dice. Once, record the sum. Next time, record the product. Do 50 of each. Plot both. The shapes are wildly different.
Why?
Sums cluster around 7. Products spread out — most are below 12, but a few are 30 or 36. Multiplication blows numbers apart; addition keeps them tame.
The product distribution is right-skewed — heavy tail on the high end. You see this shape in incomes, city sizes, earthquake magnitudes.