Problem No$.2$

Fineness Modulus $($FM$)$ is determined using percentages of the size fractions from the sieve analysis and calculated for any designated series of sieve sizes. To calculate the fineness modulus of sand, the sum of the cumulative percentages retained on the following sieves are divided by $16),2\mathrm{.}36mm($No$.8),$ and $4\mathrm{.}75mm($No$.4)$ for fine aggregates. Determine the FM for the sand sample for which sieve analysis data is shown for in Table $2.$ Please show your work.

Table $2.$ Sieve Analysis Data

$\backslash$table$[[\backslash$table$[[$Sieve$],[$Size $(mm)$