The mean and median of a frequency distribution are $72.5$ and $73.9$ respectively. Then,the mode of the data is $\ldots \ldots \ldots . . .$

For some given data,if $M = 62.5$ and $\bar{x} = 64$,then $Z = \ldots$

$Z - \bar{x} = \dots \times (M - \bar{x})$

If $M - \bar{x} = 2$ and $Z = 20.5$,then the median $M = \ldots$ (in $.5$)

Find the mean,median and mode of the following frequency distribution:

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Frequency	$5$	$12$	$18$	$40$	$15$	$7$	$3$

The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.

Number of students per teacher	Number of states/$U$.$T$.
$15-20$	$3$
$20-25$	$8$
$25-30$	$9$
$30-35$	$10$
$35-40$	$3$
$40-45$	$0$
$45-50$	$0$
$50-55$	$2$