^{page 305 note *} A balanced error occurred in the graduation and consequently the figures in Tables I and II of the Note do not compare so favourably with Mr. Spencer's as they should. It is thought unnecessary to give the corrected figures in extenso, as the characteristics of the graduations remain unchanged. A summary of the totals is, however, given in Table II of this Note, along with similar figures for formula 3 (d) of Table IV herein. Formula 3 (b) of this Note is No. 8 of the former Note.

^{page 309 note *} The correction to be made to colog p_x when graduated by formula No. 3 (6) of this Note with reference to colog p_x, O^M(5) are to be found in J.I.A., vol. 1, p. 265, where the formula is designated as formula No. 8. The values of βc^x are also given so that the corrections for any other formula in Table IV may similarly be obtained by multiplying βc^x by the error factor shown in said table for log₁₀c = ·039. The values of βc^x at ages 20 and 74 should be ·0002842 and ·0362744, respectively.