Use the high$-$low $($a$.$k$.$a$.$ brute force$)$ method and estimate the uncertainty in the predicted spring constant, $k_{\text{p}\text{r}\text{e}\text{d}}$ in $\frac{N}{m}m$ given the following measurements and uncertainties:

$a=67\frac{+}{-}3mm,L=269\frac{+}{-}3mm,$Izz$=5400\frac{+}{-}420m{m}^4,E=$

$98,000\frac{+}{-}824$MPa$(\frac{N}{m}{m}^2)$

Report the result in $\frac{N}{m}m$ and to three decimal places.