The table given below shows the frequency distribution of the scores obtained by 200 candidates in a MCA entrance examination.
Score
No. of students
200-250
30
250-300
15
300-350
45
350-400
20
400-450
25
450-500
40
500-550
10
550-600
15
Draw cumulative frequency curves of more than type and hence find median.

M e d i a n = 425

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M e d i a n = 248

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M e d i a n = 375

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M e d i a n = 430

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Solution

The correct option is B $M e d i a n = 375$
$S c o r e$ $N o . o f s t u d e n t s$ $S c o r e$ $c f$
$200 - 250$ $30$ More than $200$ $200$
$250 - 300$ $15$ More than $250$ $170$
$300 - 350$ $45$ More than $300$ $155$
$350 - 400$ $20$ More than $350$ $110$
$400 - 450$ $25$ More than $400$ $90$
$450 - 500$ $40$ More than $450$ $65$
$500 - 550$ $10$ More than $500$ $25$
$550 - 600$ $15$ More than $550$ $15$
$\Rightarrow$ The coordinates for curves are $(200, 200), (250, 170), (300, 155), (350, 110), (400, 90), (450, 65), (500, 25), (550, 15)$
$\Rightarrow$ Here, $N = 200$ . So, $\frac{N}{2} = 100$
Draw $L M ⊥ O X$
We get $M = 375$
$∴$ $M e d i a n = 375$

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Score	No. of students
200-250	30
250-300	15
300-350	45
350-400	20
400-450	25
450-500	40
500-550	10
550-600	15

$S c o r e$	$N o . o f s t u d e n t s$	$S c o r e$	$c f$
$200 - 250$	$30$	More than $200$	$200$
$250 - 300$	$15$	More than $250$	$170$
$300 - 350$	$45$	More than $300$	$155$
$350 - 400$	$20$	More than $350$	$110$
$400 - 450$	$25$	More than $400$	$90$
$450 - 500$	$40$	More than $450$	$65$
$500 - 550$	$10$	More than $500$	$25$
$550 - 600$	$15$	More than $550$	$15$

The table given below shows the frequency distribution of the scores obtained by 200 candidates in a MCA entrance examination.ScoreNo. of students200-25030250-30015300-35045350-40020400-45025450-50040500-55010550-60015Draw cumulative frequency curves of more than type and hence find median.