<result> <column_name>Mental_Health_Index</column_name> <family>additive</family> <subtype>intensive_additive</subtype> <confidence>0.8</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 index level across entities is meaningless), product (not a compounding 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> The table is a DIMENSION with one row per entity and no sequence axis, so multiplicative is highly implausible and ordinal_additive is unlikely. Although the name contains "Index", the data does not support a ratio: the mean and median are about 80 to 82, far from 1.0, the range is 32 to 98, and the log symmetry gain is negative. The values look like a bounded score on a 0-100 scale, which is an absolute level where summing is meaningless and averaging is the natural rollup. The "index" naming token was overridden by the numeric evidence and the table-type gate. The low distinct fraction fits an integer-valued score. </reasoning> <table_type_conflict>false</table_type_conflict> </result>