<result> <column_name>petal_length</column_name> <family>additive</family> <subtype>intensive_additive</subtype> <confidence>0.6</confidence> <requires_user_confirmation>false</requires_user_confirmation> <sum_meaningful>false</sum_meaningful> <signed>false</signed> <reducers> <primary_reducer>mean</primary_reducer> <valid_reducers>mean, min, max, median, distribution</valid_reducers> <excluded_reducers>sum (a total of per-entity petal lengths across flowers has no physical meaning), product (not a ratio)</excluded_reducers> <average_semantics>arithmetic_mean</average_semantics> </reducers> <inner_outer_measure> <inner_measure_reducer>min</inner_measure_reducer> <outer_measure_reducer>max</outer_measure_reducer> </inner_outer_measure> <multiplicative_partner_derivable>false</multiplicative_partner_derivable> <reasoning>The table is STATE with no sequence axis, so multiplicative is very implausible and no cumsum or cumprod reconstruction can be tested. The data agrees: the mean (3.76) and median (4.35) are far from 1.0, the range is 1.0 to 6.9, and log_symmetry_gain is negative. There are no ratio or rate tokens in the name. The column is a positive physical measurement (a length) recorded per entity, so the family is additive. Merging flowers calls for a mean rather than a sum, which points to intensive_additive. Real_additive is a plausible alternative because the name has no explicit intensive token and the unit is null, so confidence on the subtype is moderate.</reasoning> <table_type_conflict>false</table_type_conflict> </result>