If for a slightly asymmetric distribution,mean and median are $5$ and $6$ respectively,what is its mode?

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.

For a normal distribution,if the mean is $M$,mode is $M_0$,and median is $M_d$,then:

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

In a series,if $4$ appears $3$ times,$5$ appears $4$ times,$6$ appears $5$ times,$7$ appears $8$ times,$8$ appears $7$ times,and $9$ appears $6$ times,then the mode of the numbers is = .......

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