The third quartile and 65th percentile for the following data areProfits in '000 : les than 10 10-19 20-29 30-39 40-40 50-59No. of firms: 5 18 38 20 9 2
Answers
Given : Data of profits of firms
To Find : third quartile and 65th percentile
Solution:
Class f cf
Less than 10 5 5 Less than 10
10-19 18 23 Less than 20
20-29 38 61 Less than 30
30-39 20 81 Less than 40
40-49 9 90 Less than 50
50-59 2 92 Less than 60
Less than ogive
The points with the upper limits of the class are plotted on x axis and the corresponding less than cumulative frequencies on y axis.
The points are joined by free hand smooth curve to give less than cumulative frequency curve or the less than Ogive
Total Students = 92
Third Quartile = (75/100)92 = 69
at 69 profit = 34
65% of 92 = (65/100)92 = 59.8
at 59.8 profit = 29.5
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