Statement 1 : For the set of observations $x_1, x_2, x_3,\dots . x_{101};$ it is being given that $x_1<x_2<x_3<\dots .<x_{100}<x_{101}$

Statement 2 : This would implies that the standard mean deviation about an arbitrary point $k$ is minimum when $k=x_{51}$. This is because Mean deviation is minimum when it is considered about the median.

The approximate value of the mean deviation about the mean for the following data is

The standard deviation of the set $(10,10, 10,10,10)$ is

Let $\overline{x}$, $M$ and ${\sigma }^2$ be respectively the mean, mode and variance of $n$ observations $x_1, x_2,...., x_n$ and $d_i=-x_i-a, i=1, 2,...., n,$ where $a$ is any number.

Statement I: Variance of $d_1, d_2,..., d_n$ is ${\sigma }^2$.

Statement II: Mean and mode of $d_1, d_2,...., d_n$ are $-\overline{x}-a$ and $-M-a$, respectively.