The mean marks of the following distribution is:

Marks obtained ($x$): 10, 67, 23, 19
Number of students ($f$): 14, 13, 2, 17
Now,
$\sum f = 14 + 13 + 2 + 17 = 46$
$\sum fx = (10 \times 14) + (67 \times 13) + (23 \times 2) + (19 \times 17)$
$= 140 + 871 + 46 + 323$
$= 1380$
Mean
$= \frac{\sum fx}{\sum f}$

$= \frac{1380}{46}$
= 30
Mean marks = 30