Median of the following freq. dist.
$x_{i}$ $3$ $6$ $10$ $12$ $7$ $15$
$f_{i}$ $3$ $4$ $2$ $8$ $13$ $10$

7

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10

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8.5

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None of these

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Solution

The correct option is B $7$
$C . I$ $F r e q u e n c y$ $C u m u l a t i v e f r e q u e n c y$
$3$ $3$ $3$
$6$ $4$ $7$
$10$ $2$ $9$
$12$ $8$ $17$
$7$ $13$ $30$
$15$ $10$ $40$
Here $N = 40$ ,
then $\frac{N}{2} = \frac{40}{2} = 20$
$\frac{N}{2} + 1 = \frac{42}{2} = 21$
As the corresponding median to $30$ which is nearest to $21$ is $7$ , so required result is $7$ .

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Similar questions

$x_{i}$	$3$	$6$	$5$	$8$	$12$	$7$
$f_{i}$	$5$	$2$	$4$	$6$	$7$	$6$

$x_{i}$	3	6	10	12	7	15
$f_{i}$	3	4	2	8	13	10

$x_{i}$	$10$	$12$	$15$	$25$
$f_{i}$	$2$	$3$	$7$	$8$

x_{i}

f_{i}

$x_{i}$	$3$	$5$	$7$	$9$	$11$	$13$
$f_{i}$	$6$	$8$	$15$	$3$	$8$	$4$

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