The following table gives production yield in kg. per hectare of wheat of 150 farms in a village. Calculate the mean, median and mode values.Production yield (kg. per hectare) 50 – 53 53 – 56 56 – 59 59 – 62 62 – 65 65 – 68 68 – 71 71 – 74 74 – 77Number of farms 3 8 14 30 36 28 16 10 5
Answers
Given : table gives production yield in kg. per hectare of wheat of 150 farms in a village.
To find : Mean & Median
Solution:
Class frequency cumlative f
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
Median lies in 62 - 65 as 150/2 = 75 is between 56 - 91
Median = 62 + 3 (75 - 55) / 36
= 63.67
Mode lies in 62 - 65
Mode = 62 + 3 ( 36 - 30)/(36 - 30 + 36 - 28)
= 63.29
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Step-by-step explanation:
Given : table gives production yield in kg. per hectare of wheat of 150 farms in a village.
To find : Mean & Median
Solution:
Class frequency cumlative f
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
Median lies in 62 - 65 as 150/2 = 75 is between 56 - 91
Median = 62 + 3 (75 - 55) / 36
= 63.67
Mode lies in 62 - 65
Mode = 62 + 3 ( 36 - 30)/(36 - 30 + 36 - 28)
= 63.29
Learn more:
Find the mode, median and mean for the following data: Marks ...
https://brainly.in/question/7477608
Calculate median and mode of the following data C.i 10-19, 20-29 ...
https://brainly.in/question/8283533