Look at my nice picture. It shows a height-latitude zonal mean of (modelled) temperature, a difference of two 20 year means: 2080-2099 minus 2000-2019. This is for the far-future but we’ll pretend its a rough proxy for the present day trends, suitably scaled, shall we.
If you’re at all familiar with the “lapse rate problem” you see the familiar: that (at least in the tropics) the upper atmosphere gets to warm far more than the surface: up to 5 oC compared to about 2.5. The reverse is true in the arctic, the antarctic is nearly isothermal except for the top which is probably ozone hole recovery.
But… the degree of warming depends on where you look. If you’re looking at 500 hPa, ie the mid-level, even the tropics are only a bit warmer at the surface. If you’re using MSU data to try to understand this, then its hard to know exactly what you’d be seeing, because the MSU integrates over a broad range of atmospheric layers. This was prompted by Inels comment today from Singer in an old post no-one will ever read again.