Calculate the median for the following data.

Marks (out of 60) 32 27 26 24 23 21

Number of students 6 4 7 9 16 2

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Solution

Marks (out of 60) Frequency Cumulative Frequency

32 6 6

27 4 10

26 7 17

24 9 26

23 16 42

21 2 44= $\sum_{}^{} f$

$Here, \sum_{}^{} f = 44 ∴ \frac{44}{2} = 22$

The cumulative frequency just above 22 is 26. Hence, the median is 24.

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Similar questions

Marks	Number of Students	Marks	Number of Students
1−5 6−10 11−15 16−20 21−25	7 10 16 32 24	26−30 31−35 36−40 41−45	18 10 5 1

Marks (out of 60.)	$32$	$27$	$26$	$24$	$23$	$21$
Number of students	$6$	$4$	$7$	$9$	$16$	$2$

Marks	0-7	7-14	14-21	21-28	28-35	35-42	42-49
Number of students	3	4	7	11	0	16	9

The following table gives the marks obtained by 50 students in a class test:

Marks	11−15	16−20	21−25	26−30	31−35	36−40	41−45	46−50
Number of students	2	3	6	7	14	12	4	2

Calculate the mean, median and mode for the above data.

Marks	0−4	4−8	8−12	12−16	16−20	20−24
No. of Students	7	9	16	8	6	4

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