$A$ set of numbers consists of three $4$'s,five $5$'s,six $6$'s,eight $8$'s,and seven $10$'s. The mode of this set of numbers is:

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.

If in a moderately asymmetrical distribution,the mode and mean of the data are $6 \lambda$ and $9 \lambda$ respectively,then the median is:

Let $a_1, a_2, \dots, a_{101}$ be a group of real numbers such that $a_i > a_{i+1}$ for all values of $i$ and the mean square deviation of the group is minimum about the number $a_{51}$. Then the mode of the group will be:

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

Find the mode of the given frequency distribution.

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