```xml <result> <column_name>food</column_name> <family>additive</family> <subtype>intensive_additive</subtype> <confidence>0.72</confidence> <requires_user_confirmation>true</requires_user_confirmation> <sum_meaningful>false</sum_meaningful> <signed>false</signed> <reducers> <primary_reducer>mean</primary_reducer> <valid_reducers>mean, min, max, median, mode, distribution</valid_reducers> <excluded_reducers>sum (ordinal/rating scale - summing ratings 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 priors against multiplicative. The column "food" with integer values 0-10, high zero fraction (64%), and median of 0 suggests an ordinal rating or categorical score. The bounded range [0,10] and discrete integer nature indicate this is likely a rating scale (e.g., food quality rating, food availability score). Such ordinal scales are intensive levels where averaging is meaningful but summing is not (you don't add ratings together). Classified as intensive_additive rather than ordinal_additive because there's no sequence axis to normalize along. Moderate confidence due to ambiguity between a true intensive measure versus a count-like quantity; user confirmation recommended. </reasoning> <table_type_conflict>false</table_type_conflict> </result> ```