Finessing the question on household settlement choice is to enquire the income/consumption expenditure distribution that either makes her better-off or worse-off. Using 430 household-level micro-data from a three-stage sampling procedure, the study ranked consumption expenditure by household attributes in Delta state, Nigeria on axiomatic poverty measure. Results showed that household heads in the widowed and 0<𝑎𝑔𝑒≤20 years categories in Delta-North first-order stochastically dominated Delta-South (𝑁≻𝑠=1𝑆), 20<𝑎𝑔𝑒≤40 years household heads in 𝑆≻𝑠=1𝐶 and 𝑁≻𝑠=1𝐶, household heads in the widowed, vocational education holder and 0<𝑎𝑔𝑒≤20 years, 20<𝑎𝑔𝑒≤40 years and 𝑎𝑔𝑒>60 years categories in 𝑁≻𝑠=1𝐶, while household heads in the vocational education holder, 0<𝑎𝑔𝑒≤20 years, 20<𝑎𝑔𝑒≤40 years and 𝑎𝑔𝑒>60 years categories in 𝑆≻𝑠=1𝐶. Household heads in the female, single, medium household-size, tertiary education holder and 0<𝑎𝑔𝑒≤20 years categories in 𝑁≻𝑠=2𝑆 and 𝑁≻𝑠=3𝑆. Household heads in the single, medium-size, 20<𝑎𝑔𝑒≤40 years and tertiary education holder categories in 𝑁≻𝑠=2𝐶 and 𝑁≻𝑠=3𝐶. Household heads in the separated spouse and small household-size categories in 𝐶≻𝑠=2𝑁 and 𝐶≻𝑠=3𝑁 while household heads that are in the single category in 𝐶≻𝑠=2𝑆 and 𝐶≻𝑠=3𝑆. There is, generally, no stochastic dominance between pairwise comparisons by district in the state, in terms of consumption expenditure, except by other household attributes.