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Solution
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Solution provided by AtoZmath.com
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Quintile 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 Quintile-4 from the following data `85,96,76,108,85,80,100,85,70,95`
Solution: Arranging Observations in the ascending order, We get : `70,76,80,85,85,85,95,96,100,108`
Here, `n=10`
`"Quintile"_4 = ((4(n+1))/5)^(th)` value of the observation
`=((4*11)/5)^(th)` value of the observation
`=(8.8)^(th)` value of the observation
`=8^(th)` observation `+0.8[9^(th)-8^(th)]`
`=96+0.8[100-96]`
`=96+0.8(4)`
`=96+3.2`
`=99.2`
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