The following table gives production yield in kg. per hectare of wheat of 150 arms in a village. Calculate the mean, median and mode production yield.
Production yield (kg. per hectare) |
50-53 |
53-56 |
56-59 |
59-62 |
62-65 |
65-68 |
68-71 |
71-74 |
74-77 |
Number of farms |
3 |
8 |
14 |
30 |
36 |
28 |
16 |
10 |
5 |
Calculation of Mean and Medians
Production |
M.V. |
d |
d' |
f |
fd' |
cf |
50-53 53-56 56-59 59-62 62-65 65-68 68-71 71-74 74-77 |
51.5 54.5 57.5 60.5 63.5 66.5 69.5 72.5 75.5 |
-12 -9 -6 -3 0 + 3 + 6 + 9 +12 |
-4 -3 -2 -1 0 +1 + 2 + 3 + 4 |
3 8 14 30 36 28 16 10 5 |
-12 -24 -28 -30 -94 0 28 32 30 20 +110 |
3 11 25 55 91 119 135 145 150 |
Σ f = 150 |
Σ fd' = 16 |
(Answer 63.29 kg. per hectare)