1
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If variance of $$x_1, x_2 \ldots \ldots, x_n$$ is $$\sigma_x^2$$, then the variance of $$\lambda x_1, \lambda x_2, \ldots \ldots, \lambda x_{\mathrm{n}}(\lambda \neq 0)$$ is

A
$$\lambda \cdot \sigma_x$$
B
$$\lambda \cdot \sigma_x^2$$
C
$$\lambda^2 \cdot \sigma_x$$
D
$$\lambda^2 \cdot \sigma_x^2$$
2
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Mean and variance of six observations are 8 and 16 respectively. If each observation is multiplied by 3, then new variance of the resulting observations is

A
16
B
48
C
24
D
144
3
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The variance, for first six prime numbers greater than 5, is

A
27
B
28
C
15
D
20
4
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the mean and S.D. of the data $$3,5,7, a, b$$ are 5 and 2 respectively, then $$a$$ and $$b$$ are the roots of the equation

A
$$x^2-10 x+18=0$$
B
$$2 x^2-20 x+19=0$$
C
$$x^2-10 x+19=0$$
D
$$x^2-20 x+18=0$$
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