Following table shows the absentees record of 40 students in an academic year: Find the 'mean' and the 'mode' of the above data.

Age (in years)	Number of patients \(\displaystyle \left(f_{i}\right)\)	Class Mark \(\displaystyle \left(x_{i}\right)\)	\(\displaystyle f_{i} x_{i}\)
$\displaystyle 2$-$\displaystyle 6$	$\displaystyle 11$	$\displaystyle 4$	$\displaystyle 44$
$\displaystyle 6$-$\displaystyle 10$	$\displaystyle 10$	$\displaystyle 8$	$\displaystyle 80$
$\displaystyle 10$-$\displaystyle 14$	$\displaystyle 7$	$\displaystyle 12$	$\displaystyle 84$
$\displaystyle 14$-$\displaystyle 18$	$\displaystyle 4$	$\displaystyle 16$	$\displaystyle 64$
$\displaystyle 18$-$\displaystyle 22$	$\displaystyle 4$	$\displaystyle 20$	$\displaystyle 80$
$\displaystyle 22$-$\displaystyle 26$	$\displaystyle 3$	$\displaystyle 24$	$\displaystyle 72$
$\displaystyle 26$-$\displaystyle 30$	$\displaystyle 1$	$\displaystyle 28$	$\displaystyle 28$
Total	\(\displaystyle \sum f_{i}=40\)		\(\displaystyle \sum f_{i} x_{i}=452\)

\[\begin{aligned} \text { Mean } & =\frac{452}{40} \\ & =\frac{113}{10} \text { or } 11.3 \text { years } \end{aligned} \] Modal class is $\displaystyle 2$-$\displaystyle 6$ \[\begin{aligned} \text { Mode } & =2+\frac{11-0}{2 \times 11-0-10} \times 4 \\ & =\frac{17}{3} \text { or } 5.67 \text { years (approx.) } \end{aligned} \]