'arbitrarily-assessed' originates from the combination of 'arbitrary' and 'assess'. 'Arbitrary' comes from Latin 'arbitrarius', meaning 'dependent on the will or judgment of another', and 'assess' comes from Latin 'assidere', meaning 'to sit beside'.

'arbitrarily-assessed' evolved from the combination of 'arbitrary', which was used in Middle English as 'arbitrarie', and 'assess', which was used in Middle English as 'assessen'.

Initially, 'arbitrary' meant 'dependent on the will of another', and 'assess' meant 'to sit beside'. Over time, 'arbitrarily-assessed' evolved to mean 'evaluated based on personal whim'.