The following is a frequency table of the score obtained in a science quiz competition. Find the median score.
score
$10$
$15$
$20$
$25$
$30$
frequency
$2$
$3$
$5$
$6$
$4$

22

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22.5

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20

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25

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Solution

The correct option is C $20$
For the discrete data series, median is the $(\frac{n + 1}{2})^{t h}$ value.

Where $n$ is the number of observations.

Therefore, $n = 5$

Hence, $m e d i a n = \frac{5 + 1}{2} = \frac{6}{2} = 3^{r d}$ value

Therefore, $m e d i a n = 20$

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Similar questions

Class-interval	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
Frequency	$5$	$3$	$9$	$10$	$8$	$5$

Interval	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$
$x$	$2$	$1$	$4$	$6$	$5$

Class:	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$
Frequency:	$5$	$6$	$15$	$10$	$5$	$4$	$2$	$2$

$X$	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$
frequency	$2$	$4$	$6$	$8$	$10$

Score	$12$	$24$	$36$	$48$
Frequency	$2$	$3$	$4$	$1$

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