```xml <result> <column_name>Avg Monthly Long Distance Charges</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 an average 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> Table type is DIMENSION with no sequence axis, making multiplicative highly implausible. The column name "Avg Monthly Long Distance Charges" explicitly indicates this is already an averaged intensive quantity (average charge per entity). The range [0.0, 49.99] with values like 1.01, 1.02, 1.03 shows absolute monetary amounts, not ratios near 1.0. Summing pre-averaged values across entities is meaningless; the correct rollup is to re-average (mean). This is a classic intensive_additive measure representing a level/intensity rather than an extensive accumulation. </reasoning> <table_type_conflict>false</table_type_conflict> </result> ```