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

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


ClassFrequency
`f`
`cf`
10 - 201515
20 - 302540
30 - 402060
40 - 501272
50 - 60880
---------
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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