Q$1$: The following data were obtained by sieving:

$\backslash$table$[[$Sieve No$.,$Sieve opening sieve $(m),$Mass on sieve $($g$)],[1,200,4\mathrm{.}0],[2,100,21\mathrm{.}6],[3,50,38\mathrm{.}4],[4,40,8\mathrm{.}0],[$Tray$,0,8\mathrm{.}0],[,80\mathrm{.}0]]$

Determine the mass median diameter $($MMD$).$ Hint: you may need to plot the size distribution.

Calculate Sauter mean dimeter $d_{32}.$

Q$2$: For the following particle size distribution, calculate the count median diameter, count mean diameter, and the surface mean diameter.

$\backslash$table$[[$Particle size $(m),$Number$],[1,3],[3,5],[5,2],[8,1]]$