Cumulative Frequency Curves

Given a nondecreasing dataset representing a cumulative frequency distribution, this Demonstration fits a monotonic curve to it (sacrificing either smoothness or exactness of fit where necessary, at the user's choice). This curve can then be used interactively to estimate percentiles for the underlying distribution.

THINGS TO TRY

SNAPSHOTS

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DETAILS

Snapshot 1: median estimate (smooth monotonic fit)
Snapshot 2: median estimate (exact monotonic fit)
Snapshot 3: lower quartile estimate (smooth monotonic fit)
Snapshot 4: lower quartile estimate (exact monotonic fit)
Snapshot 5: upper quartile estimate (smooth monotonic fit)
Snapshot 6: upper quartile estimate (exact monotonic fit)
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