The following table gives the production yield per hectare of wheat of 100 farms of a village. Production yield (in kg) 50-55 55-60 60-65 65-70 70-75 75-80 Number of farms 28 12 24 38 16 Change the distribution to a more than type distribution, and draw its ogive.

First we have to convert the given distribution to More than cumulative frequency distribution:

Production yield (in kg) | Number of farms | >50 | >55 | >60 | >65 | >70 | >75
---|---|---|---|---|---|---
50-55 | 28 | 100 | 98 | 90 | 78 | 54 | 16
55-60 | 12 | | | | | |
60-65 | 24 | | | | | |
65-70 | 38 | | | | | |
70-75 | 16 | | | | | |
75-80 | 16 | | | | | |

50 = 100
55 = 100 - 28 = 98
60 = 98 - 12 = 90
65 = 90 - 24 = 78
70 = 78 - 38 = 54
75 = 54 - 16 = 16

Now, draw the ogive by plotting the points (50,100), (55,98), (60,90), (65,78), (70,54) and (75,16) on a graph paper and join them by a freehand smooth curve.