```xml <result> <column_name>lost_A</column_name> <family>additive</family> <subtype>real_additive</subtype> <confidence>0.85</confidence> <requires_user_confirmation>false</requires_user_confirmation> <sum_meaningful>true</sum_meaningful> <signed>false</signed> <reducers> <primary_reducer>sum</primary_reducer> <valid_reducers>sum, min, max, mean, median, count, distribution</valid_reducers> <excluded_reducers>product (not a ratio), geomean (not a ratio)</excluded_reducers> <average_semantics>arithmetic_mean</average_semantics> </reducers> <inner_outer_measure> <inner_measure_reducer>sum</inner_measure_reducer> <outer_measure_reducer>sum</outer_measure_reducer> </inner_outer_measure> <multiplicative_partner_derivable>false</multiplicative_partner_derivable> <reasoning> Table is DIMENSION with no sequence axis, making multiplicative highly implausible per the gate prior. Column name "lost_A" suggests a count or quantity of items lost (extensive quantity). The data is strictly non-negative with zeros excluded from the sample but range [0.0, 208.0] indicates count-like behavior with large unbounded magnitude, far from center-of-mass near 1.0. No multiplicative naming tokens present. All signals point to real_additive: an extensive count that accumulates under volume union via sum. </reasoning> <table_type_conflict>false</table_type_conflict> </result> ```