The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the mean and mode of the data:

Monthly Consumption (in units)	\(\displaystyle f_{i}\)	\(\displaystyle x_{i}\)	\(\displaystyle u_{i}=\frac{x_{i}-135}{h}\)	\(\displaystyle f_{i} u_{i}\)
$\displaystyle 65$-$\displaystyle 85$	$\displaystyle 4$	$\displaystyle 75$	-$\displaystyle 3$	-$\displaystyle 12$
$\displaystyle 85$-$\displaystyle 105$	$\displaystyle 5$	$\displaystyle 95$	-$\displaystyle 2$	-$\displaystyle 10$
$\displaystyle 105$-$\displaystyle 125$	$\displaystyle 13$	$\displaystyle 115$	-$\displaystyle 1$	-$\displaystyle 13$
$\displaystyle 125$-$\displaystyle 145$	$\displaystyle 20$	\(\displaystyle 135=\mathrm{a}\)	$\displaystyle 0$	$\displaystyle 0$
$\displaystyle 145$-$\displaystyle 165$	$\displaystyle 14$	$\displaystyle 155$	$\displaystyle 1$	$\displaystyle 14$
$\displaystyle 165$-$\displaystyle 185$	$\displaystyle 8$	$\displaystyle 175$	$\displaystyle 2$	$\displaystyle 16$
$\displaystyle 185$-$\displaystyle 205$	$\displaystyle 4$	$\displaystyle 195$	$\displaystyle 3$	$\displaystyle 12$
Total	$\displaystyle 68$			$\displaystyle 7$

\[\begin{aligned} \text { Mean } & =135+\frac{7}{68} \times 20 \\ & =137.06 \end{aligned} \] Modal Class is $\displaystyle 125$-$\displaystyle 145$ \[\begin{aligned} \text { Mode } & =125+\left(\frac{20-13}{40-13-14}\right) \times 20 \\ & =135.77 \end{aligned} \] Hence, Mean \(\displaystyle =137.06\) units and Mode \(\displaystyle =135.77\) units