The following table gives the daily income of 50 cab drivers of a particular city: Find the mean income and the modal income.

Income (in ₹)	Number of Drivers \(\displaystyle \left(f_{\mathrm{i}}\right)\)	\(\displaystyle X_{\mathrm{i}}\)	\(\displaystyle u_{\mathrm{i}}=\frac{x_{i}-750}{100}\)	\(\displaystyle f_{\mathrm{i}} u_{\mathrm{i}}\)
$\displaystyle 500$-$\displaystyle 600$	$\displaystyle 12$	$\displaystyle 550$	-$\displaystyle 2$	-$\displaystyle 24$
$\displaystyle 600$-$\displaystyle 700$	$\displaystyle 14$	$\displaystyle 650$	-$\displaystyle 1$	-$\displaystyle 14$
$\displaystyle 700$-$\displaystyle 800$	$\displaystyle 8$	$\displaystyle 750$ = a	$\displaystyle 0$	$\displaystyle 0$
$\displaystyle 800$-$\displaystyle 900$	$\displaystyle 6$	$\displaystyle 850$	$\displaystyle 1$	$\displaystyle 6$
$\displaystyle 900$-$\displaystyle 1000$	$\displaystyle 10$	$\displaystyle 950$	$\displaystyle 2$	$\displaystyle 20$
Total	$\displaystyle 50$			-$\displaystyle 12$

\[\begin{aligned} \text { Mean } & =750+\frac{(-12)}{50} \times 100 \\ & =726 \end{aligned} \] ∴ Mean income is ₹ $\displaystyle 726$ Modal Class is $\displaystyle 600$-$\displaystyle 700$ \[\begin{aligned} \text { Mode }= & 600+\frac{14-12}{(2 \times 14-12-8)} \times 100 \\ & =625 \end{aligned} \] ∴ Modal income is ₹ 625.