- Home
- Standard 11
- Mathematics
13.Statistics
easy
If $M.D.$ is $12$, the value of $S.D.$ will be
A
$15$
B
$12$
C
$24$
D
None of these
Solution
(a) We know that ${\rm{Q}}{\rm{.D}}{\rm{.}} = \frac{5}{6} \times {\rm{M}}{\rm{.D}}{\rm{.}}$$ = \frac{5}{6} \times 12 = 10$
${\rm{S}}{\rm{.D}}{\rm{.}} = \frac{3}{2} \times {\rm{Q}}{\rm{.D}}{\rm{.}}$
$ = \frac{3}{2} \times 10$
==> ${\rm{S}}{\rm{.D}}{\rm{.}} = 15$.
Standard 11
Mathematics
Similar Questions
Let $\mathrm{X}$ be a random variable with distribution.
$\mathrm{x}$ | $-2$ | $-1$ | $3$ | $4$ | $6$ |
$\mathrm{P}(\mathrm{X}=\mathrm{x})$ | $\frac{1}{5}$ | $\mathrm{a}$ | $\frac{1}{3}$ | $\frac{1}{5}$ | $\mathrm{~b}$ |
If the mean of $X$ is $2.3$ and variance of $X$ is $\sigma^{2}$, then $100 \sigma^{2}$ is equal to :