In any discrete series (when all values are not same) the relationship between $M.D.$ about mean and $S.D.$ is
$M.D. = S.D.$
$M.D.\ge S.D.$
$M.D. < S.D.$
$M.D. \le S.D.$
Find the variance of the following data: $6,8,10,12,14,16,18,20,22,24$
If the variance of the frequency distribution is $3$ then $\alpha$ is ......
$X_i$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ |
Frequency $f_i$ | $3$ | $6$ | $16$ | $\alpha$ | $9$ | $5$ | $6$ |
If the mean of the data : $7, 8, 9, 7, 8, 7, \mathop \lambda \limits^. , 8$ is $8$, then the variance of this data is
The variance of $20$ observations is $5 .$ If each observation is multiplied by $2,$ find the new variance of the resulting observations.
If each of given $n$ observations is multiplied by a certain positive number $'k'$, then for new set of observations -