What is the relation between the mean and the median of a discrete data set?

Determine which of the following statements is true: $(1)$ The mode can be calculated using a histogram. $(2)$ The median is not independent of the change of scale. $(3)$ Variance is independent of the change of origin and scale.

Find the mode of the given frequency distribution.

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
$f_i$	$2$	$18$	$30$	$45$	$35$	$20$	$6$	$3$

In a given frequency distribution,the respective values of mean and median are $21$ and $22$. The value of mode is

In a frequency distribution,if the mean and median are $21$ and $22$ respectively,then what is the approximate mode?

If $\text{mean} = (3 \text{median} - \text{mode}) k$,then the value of $k$ is