Figure 1
From: Large diurnal temperature range increases bird sensitivity to climate change

Illustration of Jensen’s inequality in a convex environment-system response scenario.
Two environments (A,B) with the same mean state mE can both be in one of two states (AL & AH; BL & BH) with equal frequency but with different ranges (rangeA<rangeB). It can be seen that because of the convex pattern the mean system response differs between environments A and B (mA<mB) despite A and B having the same average.