The following table shows the marks obtained by 50 students in mathematics of class X in a school.
Obtained Marks 20-30 30-40 40-50 50-60 60-70 70-80
Number of students 5 9 8 12 13 3
Find the median marks.

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Solution

For a data-set of $50$ students, the median is equal to mean of the $25^{t h}$ and $26^{t h}$ data sample when all the data sample are arranged in ascending order.
From the table, $23^{r d}$ to $34^{t h}$ data samples lie in the range of $50 - 60$ . Hence, median marks range is $50 - 60$ .

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Similar questions

Marks obtained	0-10	10-20	20-30	30-40	40-50	50-60	60-70
No. of students	$2$	$10$	$12$	$15$	$13$	$8$	$4$

80

C.I.	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
Freq.	3	5	16	12	13	20	5	4	1	1

Marks:	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80	80−90	90−100
Frequency:	3	5	16	12	13	20	5	4	1	1

Marks	0-10	10-20	20-30	30-40	40-50	50-60
No.of student	12	18	27	20	17	6

80

Marks:	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
Frequency:	$3$	$5$	$16$	$12$	$13$	$20$	$5$	$4$	$1$	$1$

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Obtained Marks	20-30	30-40	40-50	50-60	60-70	70-80
Number of students	5	9	8	12	13	3