x 5 6 10 12 13 15
f 7 8 15 13 9 8
Find the median of the following data

12

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13

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11

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15

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Solution

The correct option is A $11$
$x$ $5$ $6$
$10$ $12$
$13$ $15$
$f$ $7$ $8$ $15$ $13$ $9$ $8$
C.F. $7$ $7 + 8 = 15$
$15 + 15 = 30$
$30 + 13 = 43$
$43 + 9 = 52$
$52 + 8 = 60$

Total of frequency $N = 60$
As the total of the frequencies is even, Median will be the at the mean of observations at $\frac{N}{2}$ and $\frac{N}{2} + 1$ position
So, Median is mean of $30^{t h}$ and $31^{s t}$ observation, that is Mean of $10$ and $12 = 11$

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Similar questions

$x$	$5$	$6$	$10$	$12$	$13$	$15$
$f$	$7$	$8$	$15$	$13$	$9$	$8$

$x$	$10$	$11$	$12$	$13$	$14$	$15$
$f$	$1$	$4$	$7$	$5$	$9$	$8$

$x$	$6$	$8$	$10$	$12$	$14$
$f$	$9$	$7$	$15$	$13$	$6$

11, 13, 8, 10, 15, 18, 12, 7, 9, 16

$x$	$5$	$10$	$12$	$15$	$20$	$30$	$40$
$f$	$4$	$8$	$11$	$13$	$16$	$12$	$9$

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