Find the median weight of the data.

Weight (kg.) 35 36 38 40 42 44 45

Number of students 6 5 8 9 2 7 4

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Solution

Weight (kg) Frequency Cumulative Frequency

35 6 6

36 5 11

38 8 19

40 9 28

42 2 30

44 7 37

45 4 41 = $\sum_{}^{} f$

$Here, \sum_{}^{} f = 41 \Rightarrow \frac{41}{2} = 20.5$

The cumulative frequency just above 20.5 is 28. Hence, the median is 40 kg.

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Similar questions

The distribution below gives the weights of 30 students of a class. Find the median weight of the students.

Weight (in kg)	40 − 45	45 − 50	50 − 55	55 − 60	60 − 65	65 − 70	70 − 75
Number of students	2	3	8	6	6	3	2

Weight (kg.)	$35$	$36$	$38$	$40$	$42$	$44$	$45$
Number of students	$6$	$5$	$8$	$9$	$2$	$7$	$4$

Weight (in kg)	40-45	45-50	50-55	55-60	60-65	65-70	70-75
Number of students	2	3	8	6	6	3	2

Marks	20−25	25−30	30−35	35−40	40−45	45−50	50−55	55−60	60−65	65−70
Students	6	3	7	4	6	4	2	8	3	7

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

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