Measures of Dispersion

In a Poisson distribution, $P\left(X=2\right)=P\left(X=3\right)$. Given that $e^{-3}=0.050$. Then $P\left(X=5\right)$ is -

If $X$ is a Poisson random variable such that $E\left(X^2\right)=30$, then the variance of $X$ is -

For a normal curve, the greatest ordinate is

If Quartile deviation is $10$, then value of standard deviation will be:

If Quartile deviation is $9$, then value of standard deviation will be:

Find the coefficient of mean deviation from median of observations $40,62,54,90,68,76$.

Comparison the following frequency distributions with same mean:

$5$ and $6$ be the mean and standard deviation of the first distribution, 

$5$ and $7$ be the mean and standard deviation of the second distribution.

Comparison the following frequency distributions with same mean:

$8$ and $6$ be the mean and standard deviation of the first distribution, 

$8$ and $7$ be the mean and standard deviation of the second distribution.

Comparison the following frequency distributions with same mean:

4 and 6 be the mean and standard deviation of the first distribution, 

4 and 7 be the mean and standard deviation of the second distribution.

Which measure of dispersion is most affected by extreme values?

The inter quartile range

 

If the variance of a frequency distribution be $v$ and standard deviation be $\sigma$ then

Variance of a frequency distribution is $4$ and coefficient of variation is $5\%$; average of that frequency distribution is

If $y=2 x+3$ and variance of $y$ is $4$ then standard deviation of $x$ is

If the variables $x$ and $y$ are related by $y=\frac{6x+5}{10}$, then

Mean deviation about the median of $3, 4, 5, 6, 7$ is

A statistics of weekly payment to the workers in two firms $X$ and $Y$ gives the following :

The mode of model $A$ is $3.57$.

Which of the following is a relative measure of dispersion?

The square root of variance of a distribution is known as