The weights of 10 students (in kilograms) are:
36, 45, 31, 52, 35, 40, 55, 60, 38, 44
Find the median weight.

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Solution

Arranging the weights in an ascending order, we have:
31, 35, 36, 38, 40, 44, 45, 52, 55, 60

Here, n = 10, which is even.

$∴$ Median weight = Average of $(\frac{10}{2}) t h$ and $(\frac{10}{2} + 1) t h t e r m s$

= Average of 5th and 6th terms

$= \frac{1}{2} (40 + 44) k g = \frac{84}{2} k g = 42 k g$

Hence, the median weight is 42 kg.

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Similar questions

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

20

30 - 35, 35 - 40

40, 38, 33, 48, 60, 53, 31, 46, 34, 36, 49, 41, 55, 49, 65, 42, 44, 47, 38, 39

k g

13

44

42

43

46

52

39

40

42

41

47

49

38

50

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

Weight (in kg)	40 - 44	44 - 48	48 - 52	52 - 56	56 - 60	60 - 64	64 - 68	68 - 72
Number of students	4	6	10	14	10	8	6	2

60

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