Question

From the following information, construct, less than and more than ogive.

Daily wages (in ₹)	60−90	90−120	120−150	150−180	180−210
No. of Workers	11	14	25	12	8

Answer 1

For constructing less than ogive, first the given frequency distribution must be converted into less than cumulative frequency distribution as follows.

Daily Wages	No. of workers
Less than 90 Less than 120 Less than 150 Less than 180 Less than 210	11 25 50 62 70

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


For constructing more than ogive, first the given frequency distribution must be converted into more than cumulative frequency distribution as follows.

Daily Wages	No. of workers
More than 60 More than 90 More than 120 More than 150 More than 180	70 70 − 11 = 59 59 − 14 = 45 45 − 25 = 20 20 − 12 = 8

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