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Find 4 deciles of {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

Solution:
Your problem -> 4 deciles of {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

 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

D_4 class :

Class with ((4n)/10)^(th) value of the observation in cf column

=((4*80)/10)^(th) value of the observation in cf column

=(32)^(th) value of the observation in cf column

and it lies in the class 20 - 30.

:. D_4 class : 20 - 30

The lower boundary point of 20 - 30 is 20.

:. L = 20

D_4 = L + ((4 n)/10 - cf)/f * c

=20 + (32 - 15)/25 * 10

=20 + (17)/25 * 10

=20 + 6.8

=26.8

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