```xml <result> <column_name>avg_place_rating</column_name> <family>additive</family> <subtype>intensive_additive</subtype> <confidence>0.92</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 an average rating is meaningless), 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> DIMENSION table with no sequence axis strongly precludes multiplicative. The column name "avg_place_rating" explicitly signals an average (intensive level), not an extensive quantity. Center-of-mass at 81.3 (range 8-100) is far from both 0 and 1, consistent with a bounded rating scale. This is an already-averaged intensity measure where summing across entities is meaningless; only re-averaging (mean) or taking bounds (min/max) makes sense for rollup. High confidence in intensive_additive. </reasoning> <table_type_conflict>false</table_type_conflict> </result> ```