1
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-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

A
$4 \sqrt{3}$
B
$3 \sqrt{3}$
C
$2 \sqrt{3}$
D
$5 \sqrt{3}$
2
MHT CET 2024 4th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The variance of first 50 even natural numbers is

A
833
B
473
C
$\frac{437}{4}$
D
$\frac{833}{4}$
3
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A student scores the following marks in five tests : $54,45,41,43,57$. His score is not known for the sixth test. If the mean score is 48 in six tests, then the standard deviation of marks in six tests is

A
$\frac{100}{\sqrt{3}}$
B
$\frac{10}{\sqrt{3}}$
C
$\frac{100}{3}$
D
$\frac{10}{3}$
4
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The mean of $n$ observations is $\bar{x}$. If three observations $\mathrm{n}+1, \mathrm{n}-1,2 \mathrm{n}-1$ are added such that mean remains same, then value of $n$ is

A
$\frac{2 \bar{x}+1}{3}$
B
$\frac{3 \bar{x}-1}{4}$
C
$\frac{3 \bar{x}+1}{4}$
D
$\frac{\bar{x}+1}{4}$
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