The changes in rates of progress are expressed in summaries by subject matter in Tables 9, 10, and 11. Approach of Arithmetic Quotient to Intelligence Quotient is measured in Table 9 by: 1. Comparison of _r_ in June with _r_ in November. 2. Comparison of M_{IQ}-M_{AQ} in June and M_{IQ}-M_{AQ} in November. 3. Comparison of S.D.’s of Arithmetic and Intelligence Quotients in June and November. The P.E.’s of each of these differences were obtained by P.E._{diff}² = P.E.₁² + P.E.₂² - 2 _r_₁₂ P.E.₁ P.E.₂ The only M_{IQ}-M_{SQ} in Table 9 which does not show a decrease at least two times as large as the P.E. of either of the elements involved, is the 8th grade; and this is due to the limits of the test used. As mentioned before, the 8th grade did not register its true abilities in June since a perfect, or nearly perfect, score in the test was too easy to obtain. The small arithmetic S.D.’s in Grade 8 and consequent great S.D._{IQ}-S.D._{SQ} is due to the same cause. Tables 10 and 11 present the summary of facts with regard to Thorndike Reading Quotients, the first and second years respectively. THE RATIOS The discussion which follows concerns _Ratios_, not _Quotients_. TABLE 12 INTELLIGENCE QUOTIENTS AND SUBJECT RATIOS FOR ALL PERIODS GROUPED BY CHILD. THE ORDER OF ENTRIES IS JUST AS IN TABLE 1 GRADE III Intelligence Arithmetic Vocabulary Reading Completion Quotient Ratio Ratio Ratio Ratio _a_ 101 _b_ _c_ 63 57 43 _d_ 105 87 92 _a_ 128 _b_ _c_ 62 80 63 _d_ 119 97 120 _a_ 116 _b_ _c_ 48 78 * 42 _d_ 81 82 66 77 _a_ 87 _b_ _c_ 103 46 40 62 _d_ 83 85 70 60 _a_ 112 _b_ _c_ 80 122 119 100 _d_ 100 101 108 117 _a_ 101 _b_ _c_ 84 93 37 55 _d_ 90 110 98 92 _a_ 90 _b_ _c_ 76 58 72 89 _d_ 68 121 77 102 _a_ 105 _b_ _c_ 60 43 * 57 _d_ 104 95 83 66