The lower and upper 5, 2.5, 1.0 and 0.5% points of tho distribution of non-central x are given for degrees of freedom v=1(1) 12, 15, 20 and non-centrality parameter √λ=0.0(0.2)6.0, 8.0, 10.0. Approximations which may be used outside the limits of the tables are discussed as well as methods of interpolation for √λ and v within these limits. Some examples of the use of the tables are givben and an examination is made of the accuracy of the approximation to the distribution of multiple R suggested by R.A. Fisher.