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Find 1 quartiles of {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

Solution:
Your problem `->` 1 quartiles 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`


`Q_1` class :

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

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

`=(20)^(th)` value of the observation in `cf` column

and it lies in the class `20 - 30`.

`:. Q_1` class : `20 - 30`

The lower boundary point of `20 - 30` is `20`.

`:. L = 20`

`Q_1 = L + (( n)/4 - cf)/f * c`

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

`=20 + (5)/25 * 10`

`=20 + 2`

`=22`








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