FA-6222 / Statistics / Member archive
Harmonic mean rational · case 02
The arithmetic mean replaces a reciprocal-domain mean.
Case contract
Integer finite observations and equal lengths for paired samples. Counts and weights are nonnegative. Rational results use reduced Fraction strings. Empty or undefined statistics return None where shown. Harmonic mean rational. Exact operational definition: str(Fraction(len(values),1)/sum(Fraction(1,v) for v in values)) if values and all(v>0 for v in values) else None
Why this case matters
Small exact fixtures expose this error without platform timing, external services, or probabilistic observations. Statistical estimators results depend on the stated convention.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| fixture 1: ([2, 6],) | "4" | "3" | Failed |
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