1
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

For two data sets each of size 5 , the variance are given to be 4 and 5 and the corresponding means are given to be 2 and 4 respectively. The variance of the combined data set is

A
$$\frac{13}{2}$$
B
$$\frac{5}{2}$$
C
$$\frac{11}{2}$$
D
$$\frac{15}{2}$$
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the variance of the numbers $$2,3,11$$ and $$x$$ is $$\frac{49}{4}$$, then the values of $$x$$ are

A
$$6, \frac{14}{3}$$
B
$$4, \frac{13}{5}$$
C
$$6, \frac{16}{3}$$
D
$$6, \frac{14}{5}$$
3
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If 1 is added to first 10 natural numbers, then variance of the numbers so obtained is

A
8.25
B
3.87
C
6.5
D
2.87
4
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the standard deviation of the random variable $X$ is $\sqrt{3 p q}$ and mean is $3 p$ then $E\left(x^2\right)=\ldots \ldots$

A
$3 p q+3 q^2$
B
$3 p(1+2 p)$
C
$3 p q+3 p^2$
D
$3 q(1+2 q)$
MHT CET Subjects
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