Something is not OK, especially in the second pic.
The scope is in STOP mode. This is a classic: my guess is, the OP has zoomed in the vertical scale AFTER stopping (single-shotting).
Obviously, as the original data is just 8 bits (which, by the way, is true with most scopes even in $10000 class; o-scopes are primarily instruments to measure
time quite accurately), the quantized voltage levels become very apparent after just one or two steps of vertical scale zoom-in on the stored data.
So, always re-acquire the data after changing vertical sensitivity.
8 bits is quite acceptable for most purposes if you originally set the scale (analog amplification in the front-end) just right, but 8 bits doesn't leave
any room to add gain digitally, and sucks for the math operations, as well.
Whenever the signal is repetitive, using the averaging function is advisable (if average is what you want to see!),