The median for the following frequency distribution is:
$x :$ 1 2 3 4 5 6 7 8 9
$f :$ 8 10 11 16 20 25 15 9 6

6

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5

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7

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4

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Solution

The correct option is C $5$
here,
$Σ f = 120$
$N = 120 \Rightarrow e v e n$
$\frac{N}{2} = \frac{120}{2} = 60$
In cumulative frequency we select $65$ as it is closer to $60$ .
Corresponding $x$ value is $5$
hence option $B$ is correct.

Suggest Corrections

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

$x$ :	$3$	$5$	$7$	$9$	$11$	$13$
$f$ :	$6$	$8$	$15$	$p$	$8$	$4$

x:	3	5	7	9	11	13
f:	6	8	15	p	8	4

Variable( $x$ )	$10$	$15$	$20$	$25$	$30$	$35$	$40$	45
Frequency( $f$ )	$7$	$3$	$8$	$5$	$6$	$8$	$4$	9

$x$ :	$5$	$6$	$7$	$8$	$9$
$f$ :	$4$	$8$	$14$	$11$	$3$