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26. Statistics question bank (Mathematics)

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Q1.

If for some $x \in R^{+} \cup \{0\}$,the frequency distribution of the marks obtained by $20$ students in a test is given by the table below,then find the mean of the marks.

Marks:	$2$	$3$	$5$	$7$
Frequency:	$(x+1)^2$	$2x-5$	$x^2-3x$	$x$

(A)

$3.0$

(B)

$2.8$

(C)

$2.5$

(D)

$3.2$

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Q2.

If both mean and variance of $50$ observations $x_1, x_2, \ldots, x_{50}$ are equal to $16$ and $256$ respectively,then the mean of $(x_1-5)^2, (x_2-5)^2, \ldots, (x_{50}-5)^2$ is

(A)

$357$

(B)

$367$

(C)

$377$

(D)

$387$

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