The following tables gives production yield in kg.per hectare of wheat of 150 farms in a village. Calculate median.
PRODUCTION 50-53 53-56 56-59 59-62 62-65 65-68 68-71 71-74 74-77
KG/HECTARE
NO. OF FARMS 3 8 14 30 36 28 16 10 5

Question

​The following tables gives production yield in kg per
hectare of wheat of 150 farms in a village Calculate median
​ PRODUCTION 50-53 53-56 56-59 59-62 62-65 65-68 68-71 71-74
74-77
KG/HECTARE
NO OF FARMS 3 8 14 30 36 28 16 10 5

Priya Chhabra · Accepted Answer

Amrisha,

Production
No of farms(f)
cf

50 - 53
3
3

53 - 56
8
11

56 - 59
14
25

59 - 62
30
55

62 - 65
36
91

65 - 68
28
119

68 - 71
16
135

71 - 74
10
145

74 - 77
5
150

N = 150

M = size of N2th item, N = ∑f = 150M = size of 1502th item = 75th item
75th item lies in the 91th cumulative frequency Hence, the median
class is 62 - 65

M = l1 + N2 - cff × i= 62 +1502 - 5536 × 3= 62 + 75 - 5536 × 3M = 63
66

Production	No. of farms(f)	cf
50 - 53	3	3
53 - 56	8	11
56 - 59	14	25
59 - 62	30	55
62 - 65	36	91
65 - 68	28	119
68 - 71	16	135
71 - 74	10	145
74 - 77	5	150
	N = 150

​The following tables gives production yield in kg.per hectare of wheat of 150 farms in a village. Calculate median. ​ PRODUCTION 50-53 53-56 56-59 59-62 62-65 65-68 68-71 71-74 74-77 KG/HECTARE NO. OF FARMS 3 8 14 30 36 28 16 10 5

The following tables gives production yield in kg.per hectare of wheat of 150 farms in a village. Calculate median.
PRODUCTION 50-53 53-56 56-59 59-62 62-65 65-68 68-71 71-74 74-77
KG/HECTARE
NO. OF FARMS 3 8 14 30 36 28 16 10 5