A sieve analysis was conducted on a gram sample of a milk powder. The results are provided in the table.

a$)$ Calculate the percentage passing for each sieve.

b$)$ Plot the cumulative smaller fraction versus particle size.

c$)$ Plot the percentage passing versus particle size.

d$)$ Calculate the span value of milk powder with equation $"$ Span$=\frac{D_{90\%}-D_{10\%}}{D_{50\%}}"$ where $D_{90\%},D_{50\%}$ and $D_{10\%}$ are the particle diameters at $90,10,$ and $50\%$ cumulative volume.