Question

From the following frequency distribution prepare a 'less than ogive'.

Capital (₹ in lakhs)	:	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
No. of companies	:	2	3	7	11	15	7	2	3

Answer 1

For constructing a less than ogive, we convert the frequency distribution into a less than cumulative frequency distribution as follows:

Capital	Cumulative Frequency
Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 Less than 80	2 2 + 3 = 5 5 + 7 = 12 12 + 11 = 23 23 + 15 = 38 38 + 7 = 45 45 + 2 = 47 47 + 3 = 50

We now plot the cumulative frequencies against the upper limit of the class intervals. The curve obtained on joining the points so plotted is known as the less than ogive.