Find the mode of the following frequency distribution.

$x$	$4$	$5$	$6$	$7$	$8$
$f$	$6$	$7$	$10$	$8$	$3$

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

If each term of a distribution is increased by $2$,what will happen to the median and the standard deviation of the distribution?

For a continuous series,the mode is computed by the formula:

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.