The median class of the frequency distribution given below is _______.
Class $0 - 10$ $10 - 20$ $20 - 30$ $30 - 40$ $40 - 50$
Frequency 7 $15$ $13$ $17$ $10$

40 - 50

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30 - 40

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20 - 30

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10 - 20

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Solution

The correct option is C $20 - 30$
$C . I$ $F r e q u e n c y$ $C u m u l a t i v e f r e q u e n c y$
$0 - 10$ $7$ $7$
$10 - 20$ $15$ $22$
$20 - 30$ $13$ $35$
$30 - 40$ $17$ $52$
$40 - 50$ $10$ $62$
$N = 62$
We have, $N = 62$
$∴ \frac{N}{2} = 31$
Cumulative frequency just greater than $\frac{N}{2}$ is $35$ .
So the corresponding median class is $20 - 30$

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Similar questions

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Frequency	$5$	$10$	$20$	$5$	$10$

Class	0-10	10-20	20-30	30-40	40-50	50-60
Frequency	3	9	15	30	18	5

:

Number of cars	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
Frequency	$7$	$9$	$13$	$21$	$12$	$15$	$4$	$12$

f_{1}

f_{2}

N = 100

32

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$T o t a l$
Frequency	$10$	$f_{1}$	$25$	$30$	$f_{2}$	$10$	$100$

:

Marks	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Number of students	$12$	$35$	$15$	$25$	$13$

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