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Q1.

The marks obtained by $30$ students of Class $X$ of a certain school in a Mathematics paper consisting of $100$ marks are presented in the table below. Find the mean of the marks obtained by the students.

Marks obtained $(x_{i})$	$10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95$
Number of students $(f_{i})$	$1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1$

(A)

$59.3$

(B)

$63.2$

(C)

$54.5$

(D)

$55.5$

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Q2.

To find out the concentration of $SO_{2}$ in the air (in $parts\, per\, million$,i.e.,$ppm$),the data was collected for $30$ localities in a certain city and is presented below:

Concentration of $SO_{2}$ (in $ppm$)	Frequency
$0.00-0.04$	$4$
$0.04-0.08$	$9$
$0.08-0.12$	$9$
$0.12-0.16$	$2$
$0.16-0.20$	$4$
$0.20-0.24$	$2$

Find the mean concentration of $SO_{2}$ in the air.

(A)

$0.089$

(B)

$0.099$

(C)

$0.067$

(D)

$0.056$

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