Question $2$

$($a$)$ The data in table Q$2$ were collected for a stream at a gauging station. Using the mean section method, estimate the discharge at the section. Show clearly all the intermediate calculations.

Table Q$2$

$\backslash$table$[[\backslash$table$[[$Distance from$],[$left bank $($m$)]],$Depth d$($m$),$Velocity below water surface $($m$/$s$)],[$At $0\mathrm{.}6$d$,$At $0\mathrm{.}2$d$,$At $0\mathrm{.}8$d$],[0,0,0,,],[0\mathrm{.}75\backslash$times $9,0\mathrm{.}25\backslash$times $1,0\mathrm{.}25,,],[1\mathrm{.}5\backslash$times $9,1\backslash$times $1,,0\mathrm{.}42,0\mathrm{.}27],[2\mathrm{.}25\backslash$times $9,1\mathrm{.}75\backslash$times $1,,0\mathrm{.}35,0\mathrm{.}31],[3\backslash$times $9,3\backslash$times $1,,0\mathrm{.}34,0\mathrm{.}36],[3\mathrm{.}75\backslash$times $9,2\mathrm{.}25\backslash$times $1,,0\mathrm{.}40,0\mathrm{.}33],[4\mathrm{.}5\backslash$times $9,1\mathrm{.}5\backslash$times $1,,,],[5\mathrm{.}25\backslash$times $9,0\mathrm{.}75\backslash$times $1,0\mathrm{.}22,,],[6\backslash$times $9,0,0,,]]$