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Solution
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Solution provided by AtoZmath.com
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Percentile calculator for ungrouped data
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 1. 85,96,76,108,85,80,100,85,70,95
2. 3,13,11,11,5,4,2
3. 3,23,13,11,15,3,5,4,2
4. 69,66,67,69,64,63,65,68,72
5. 4,14,12,16,6,3,1,2,3
6. 73,70,71,73,68,67,69,72,76,71
7. 10,50,30,20,10,20,70,30
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Example1. Calculate Percentiles-20 from the following data
`10,50,30,20,10,20,70,30`
Solution:
Arranging Observations in the ascending order, We get :
`10,10,20,20,30,30,50,70`
Here, `n = 8`
`P_20 = ((20(n+1))/100)^(th)` value of the observation
`=((20*9)/100)^(th)` value of the observation
`=(1.8)^(th)` value of the observation
`=1^(st)` observation ` + 0.8 [2^(nd) - 1^(st)]`
`=10 + 0.8 [10 - 10]`
`=10 + 0.8 (0)`
`=10 + 0`
`=10`
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