```xml <result> <column_name>Region: West</column_name> <family>additive</family> <subtype>intensive_additive</subtype> <confidence>0.85</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 (summing percentages across entities is meaningless), product (not a ratio measure)</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> Table-type gate: DIMENSION with no sequence axis makes multiplicative highly implausible. The column contains percentage values (0.93% to 1.55%) representing regional distribution shares—these are intensive levels (proportions) at entity grain, not ratios that compound. The dtype is object (formatted strings with %), and the values represent fixed allocation percentages per entity. Summing these across entities is meaningless (you cannot add "1.29% West" + "1.44% West"), but averaging them to find a typical regional share is valid. This is a classic intensive_additive measure: an absolute level that aggregates via mean, not sum. </reasoning> <table_type_conflict>false</table_type_conflict> </result> ```