$\backslash$table$[[=$stance,$(cm),5$ cm$,10$ cm$,15$ cm$,20$ cm$,25$ cm$,30$ cm$],[y(cm),21\mathrm{.}10,19\mathrm{.}10,16\mathrm{.}10,14\mathrm{.}10,11\mathrm{.}10,8\mathrm{.}10,],[x(cm),22\mathrm{.}70,12\mathrm{.}70,17\mathrm{.}70,14\mathrm{.}70,12\mathrm{.}70,10\mathrm{.}70,]]$

$C.G=48\mathrm{.}8cm$

mass $=100g.$

$=$ The mass was hug prost on $5$ cm mark, to $10$ cm $,$ to $15$ cm to $2$ om Using the above results obrained from the pinciple of moment expeniment:

$(1$o plot a graph of y against $x$

$($b$)$ find the, slope of the graph.

$(2)$ determine the mass of the meter rule from your slope.

$(3)$ Find the value of $x$ for which $y=28cm$ and $35$ cm

$(4)$ find the standard error in the graph