Assuming all other parameters such as particle shape are constant, greater size will cause greater tapped and apparent density. This is because larger particles have lesser specific surface, which implies less friction. Hence the particles flow more easily and the powder becomes more compact on tapping. Thus tapped density increases.
In a practical scenario, some other factors that can complicate the matter are particle shape (round smooth particles will not show this effect) and particle size distribution (small particles can occupy the voids between large particles).
A useful reference could be ASM Handbook volume 7, chapter on Bulk Properties of Powders.
Speaking of density, at constant volume, when the particle size increases, density decreases. I am not sure if this happens similarly with powder. I have read articles that caking effect of the flour could affect its density.
Assuming all other parameters such as particle shape are constant, greater size will cause greater tapped and apparent density. This is because larger particles have lesser specific surface, which implies less friction. Hence the particles flow more easily and the powder becomes more compact on tapping. Thus tapped density increases.
In a practical scenario, some other factors that can complicate the matter are particle shape (round smooth particles will not show this effect) and particle size distribution (small particles can occupy the voids between large particles).
A useful reference could be ASM Handbook volume 7, chapter on Bulk Properties of Powders.