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Problem: 15 percentiles of {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}} [ Calculator, Method and examples ]

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Your problem -> 15 percentiles of {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

 Class Frequencyf cf 10 - 20 15 15 20 - 30 25 40 30 - 40 20 60 40 - 50 12 72 50 - 60 8 80 --- --- --- n = 80 --

Here, n = 80

P_15 class :

Class with ((15n)/100)^(th) value of the observation in cf column

=((15*80)/100)^(th) value of the observation in cf column

=(12)^(th) value of the observation in cf column

and it lies in the class 10 - 20.

:. P_15 class : 10 - 20

The lower boundary point of 10 - 20 is 10.

:. L = 10

P_15 = L + ((15 n)/100 - cf)/f * c

=10 + (12 - 0)/15 * 10

=10 + (12)/15 * 10

=10 + 8

=18

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