MHT CET 2024 9th May Evening Shift | Statistics Question 10 | Mathematics

The variance of 20 observations is 5 . If each observation is multiplied by 3 and then 8 is added to each number, then variance of resulting observations is

$\frac{3}{4}$

$\frac{4}{3}$

$\frac{5}{3}$

$\frac{3}{5}$

MHT CET 2024 9th May Morning Shift

MCQ (Single Correct Answer)

-0

If X is a random variable with distribution given below

$\mathrm{X}=x_{\mathrm{i}}:$	0	1	2	3
$\mathrm{P}\left(\mathrm{X}=x_{\mathrm{i}}\right):$	$\mathrm{k}$	$\mathrm{3k}$	$\mathrm{3k}$	$\mathrm{k}$

Then the value of $k$ and its variance are respectively given by

$\frac{1}{8}, \frac{22}{27}$

$\frac{1}{8}, \frac{23}{27}$

$\frac{1}{8}, \frac{8}{9}$

$\frac{1}{8}, \frac{3}{4}$

MHT CET 2024 9th May Morning Shift

MCQ (Single Correct Answer)

-0

The mean and the standard deviation of 10 observations are 20 and 2 respectively. Each of these 10 observations is multiplied by p and then reduced by $q$, where $p \neq 0$ and $q \neq 0$. If the new mean and new standard deviation (s.d.) become half of the original values, then $q$ is equal to

$-20$

$-5$

$10$

$-10$

MHT CET 2024 4th May Evening Shift

MCQ (Single Correct Answer)

-0

The mean and variance of seven observations are 8 and 16 respectively. If 5 of the observations are $2,4,10,12,14$, then the square root of product of remaining two observations is

$4 \sqrt{3}$

$3 \sqrt{3}$

$2 \sqrt{3}$

$5 \sqrt{3}$

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