A simple formalism has been employed to average data on neutron fluence-to-directional dose equivalent conversion factors, h'(10;En,a), as given by three different research groups. h'(10;En,a) is numerically represented as the product of the neutron fluence-to-ambient dose equivalent conversion factor, h* and a simple expansion using only 15 pairs of coefficients for describing the angular dependence in the neutron energy region from thermal up to En = 20 MeV. Good agreement between the fit, the inputed data and more recent data which were not included in the evaluation has been obtained. The ICRU sphere may serve as the defining phantom for operational quantities for individual radiation protection, restricted, however, to irradiation from the frontal half-space.