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प्रश्न
The following table gives production yield in kg. per hectare of wheat of 150 farms in a village. Calculate the mean values.
| 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 |
उत्तर
Mean
| Production Yield | No. of farms | Mid value | A = 63.5 | d' = `(X - A)/c` | fd' |
| 50 - 53 | 3 | 51.5 | -12 | -4 | -12 |
| 53 - 56 | 8 | 54.5 | -9 | -3 | -24 |
| 56 - 59 | 14 | 57.5 | -6 | -2 | -28 |
| 59 - 62 | 30 | 60.5 | -3 | -1 | -30 |
| 62 - 65 | 36 | 63.5 | 0 | 0 | 0 |
| 65 - 68 | 28 | 66.5 | +3 | +1 | 28 |
| 68 - 71 | 16 | 69.5 | +6 | +2 | 32 |
| 71 - 74 | 10 | 72.5 | +9 | +3 | 30 |
| 74 - 77 | 5 | 75.5 | +12 | +4 | 20 |
| Total | ∑f = 150 | ∑fd' = 16 |
`overlineX + A + (sumfd^')/(sumf) xx c`
= `63.5 + 16/150 xx 3`
= 63.5 + 0.32
= 63.82 kg per hectare
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