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quantile from quantile table calculation without original data

Dear all

I have table of quantiles, probably from lognormal distribution

 dput(temp)
temp <- structure(list(size = c(1.6, 0.9466, 0.8062, 0.6477, 0.5069,
0.3781, 0.3047, 0.2681, 0.1907), percent = c(0.01, 0.05, 0.1,
0.25, 0.5, 0.75, 0.9, 0.95, 0.99)), .Names = c("size", "percent"
), row.names = c(NA, -9L), class = "data.frame")

and I need to calculate quantile for size 0.1

plot(temp$size, temp$percent, pch=19, xlim=c(0,2))
ss <- approxfun(temp$size, temp$percent)
points((0:100)/50, ss((0:100)/50))
abline(v=.1)

If I had original data it would be quite easy with ecdf/quantile function but without it I am lost what function I could use for such task.

Please, give me some hint where to look.


Best regards

Petr
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