Change the following distribution to a 'More than type' distribution. Hence, draw the more than type' ogive for this distribution.

Class – interval: 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80 80 – 90

Frequency: 10 8 12 24 6 25 15

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Solution

The cumulative frequency table of 'More than type' is given below.

Class Interval Cumulative Frequency

More than 20 100

More than 30 90

More than 40 82

More than 50 70

More than 60 46

More than 70 40

More than 80 15

Mark the lower class class limits along the x-axis and the cumulative frequencies along y-axis.

Plot the points (20, 100), (30, 90), (40, 82), (50, 70), (60, 46), (70, 40) and (80, 15). Join the points to obtain the 'More than type' ogive.

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C.I.	20 - 30	30-40	40-50	50-60	60-70	70-80	80-90
Frequency	8	12	24	6	10	15	25

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

Marks	20-30	30-40	40-50	50-60	60-70	70-80	80-90
No. of students	4	6	10	25	7	5	2

C.I	50-60	60-70	70-80	80-90	90-100	100-110
F	13	15	17	21	23	19

Class Interval	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70	70 - 80
Frequency	7	14	13	12	20	11	15	8

Class – interval:	20 – 30	30 – 40	40 – 50	50 – 60	60 – 70	70 – 80	80 – 90
Frequency:	10	8	12	24	6	25	15