It is noticeable that when _r_’s approach the limit which the unreliability of the test allows them, they drop down again. This is probably due to continued increase of SQ’s over IQ. Of course, for some SQ’s to be greater than IQ out of proportion to the general amount lowers the correlation as much as for some to lag behind. When the SQ’s of the children of lower intelligence reach their IQ they continue above. This, of course, is due to errors in establishment of the age norms. The norms are not limits of pushing, though an attempt was made by correction for truncation to get them as nearly so as possible. It is to be noted, however, that these norms are up the growth curve, that is, reading age of 10 means a score such that the average age of those getting it is 10, not the average score of children whose mental age is 10. The average reading achievement of children all ten years old chronologically is _higher_ than that of a group all mentally ten, since many of the mentally advanced have not been pushed in product. The group used here to establish norms gives more nearly pushed norms than the others would. The tendency of the low IQ’s to go over unity in their SR’s is apparent in Table 1 and in Table 12 and also in the negative correlation between AccR and IQ. In both years some second grade children were advanced to Grade III during the year. This accounts for the low _r_’s in June, 1919, but in 1919-1920 the Grade III correlations are raised and the means raised toward the M_{IQ}, even though some second grade children were put in this group during the year. TABLE 9 SUMMARY OF PROGRESS IN ARITHMETIC BY INCREASE IN _r_, DECREASE IN M_{IQ}-M_{AQ} AND DECREASE IN DIFFERENCE OF STANDARD DEVIATIONS IRRESPECTIVE OF DIRECTION Average Intelligence Difference of GRADE _r_ Quotient Minus Standard Deviations Average Arithmetic Irrespective of Quotient Sign (of IQ and Arith. Q) Nov. June Nov. June Nov. June III .413 .709 19.25 8.16 6.27 6.63 ±.16 ±.08 ±2.87 ±2.05 ±2.04 ±1.45 IV .426 .725 7.41 0.46 2.39 0.47 ±.10 ±.06 ±1.84 ±1.50 ±1.29 ±1.02 V .698 .713 16.14 0.54 7.14 2.06 ±.07 ±.07 ±1.93 ±1.84 ±1.37 ±1.30 VI 5.33 .805 11.00 3.00 0.19 1.63 ±.13 ±.06 ±2.01 ±1.19 ±1.42 ±0.85 VII .740 .795 7.27 0.62 14.03 8.15 ±.09 ±.07 ±3.58 ±2.33 ±2.53 ±1.63