Ogive (cumulative frequency curve) Example-1

1. Draw Ogive (cumulative frequency curve)
Class Frequency
20 - 25 110
25 - 30 170
30 - 35 80
35 - 40 45
40 - 45 40
45 - 50 35

Solution:
To draw Less than type cumulative frequency curve, we first prepare the following table

Class	Frequency `f`	< Upper	`cf`
15 - 20	-	20	0
20 - 25	110	25	0 + 110 = 110
25 - 30	170	30	110 + 170 = 280
30 - 35	80	35	280 + 80 = 360
35 - 40	45	40	360 + 45 = 405
40 - 45	40	45	405 + 40 = 445
45 - 50	35	50	445 + 35 = 480

To draw More than type cumulative frequency curve, we first prepare the following table

Total frequency = 480

Class	Frequency `f`	> Lower	`cf`
20 - 25	110	20	480
25 - 30	170	25	480 - 110 = 370
30 - 35	80	30	370 - 170 = 200
35 - 40	45	35	200 - 80 = 120
40 - 45	40	40	120 - 45 = 75
45 - 50	35	45	75 - 40 = 35
50 - 55	-	50	35 - 35 = 0

This material is intended as a summary. Use your textbook for detail explanation.
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1. Example-1