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Cumulative Frequency Curves

Given a non-decreasing 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.

Contributed by: Phil Ramsden

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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)

Cumulative Frequency (Wolfram MathWorld)

"Cumulative Frequency Curves" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CumulativeFrequencyCurves/

Contributed by: Phil Ramsden

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