Question

The following table gives production yield per hectare of wheat of 100 farms of a village:

Production yield in kg per hectare:	50−55	55−60	60−65	65−70	70−75	75−80
Number of farms:	2	8	12	24	38	16

Draw 'less than' ogive and 'more than' ogive.

Answer 1

Prepare a table for less than type.

Production yield	No. of farms	Production yield (less than)	Cumulative frequency	Suitable points
50−55	2	55	2	(55, 2)
55−60	8	60	10	(60, 10)
60−65	12	65	22	(65, 22)
65−70	24	70	46	(70, 46)
70−75	38	75	84	(75, 84)
75−80	16	80	100	(80, 100)

Now, plot the less than ogive using suitable points.

Again, prepare a table for more than type.

Production yield	No. of farms	Production yield (more than)	Cumulative frequency	Suitable points
50-55	2	50	100	(50, 100)
55-60	8	55	98	(55, 98)
60-65	12	60	90	(60, 90)
65-70	24	65	78	(65, 78)
70-75	38	70	54	(70, 54)
75-80	16	75	16	(75, 16)

Now, plot the more than ogive with suitable points.