fruitful of such results in the upper years.  This does not seem to be the usual or accepted conviction.  Certain of the school principals have expressed the assurance that it would be found otherwise.  Such deception is easily explainable, for the number of failures show a marked reduction, and the rise of percentages is consequently easily overlooked.  It is quite possible, too, that in some individual schools there is not such a rise of the percentages of failure for the graduates in any of the school subjects.  In a single one of the eight schools reported here neither Latin nor mathematics showed a higher percentage of failure for the graduate pupils over the non-graduates.  In the other seven schools the graduates had the higher percentage in one or both of these subjects.

6.  THE TIME PERIOD AND THE NUMBER OF FAILURES

The statement that the number of failures will be greater for the failing pupils who remain in school the longer time may seem rather commonplace.  But it will not seem trite to state that the percentage of the total failures on the total subject enrollments increases by school semesters up to the seventh; that the percentage of possible failures for all graduating pupils increases likewise; or that the failures per pupil in each single semester tend to increase as the time period extends to the later semesters.  Yet radical as these statements may sound, they are actually substantiated by the facts to be presented.

  PERCENTAGE OF THE TOTAL FAILURES ON THE TOTAL SUBJECT ENROLLMENT,
  BY SEMESTERS

  Semester 1 2 3 4 5 6 7 8 9 10

  Per Cent 11.5 13.9 14.5 15.1 14.5 15.3 12.1 9.9 10.9 6.2

The 808 pupils who received no marks, and many of whom dropped out early in the first semester, are not included in the subject enrollment for the above percentages.  Otherwise the enrollments taken are for the beginning of each semester and inclusive of all the pupils.  These percentages rise from 11.5 in the first semester to 15.3 in the sixth semester.  Then the percentages drop off, doubtless due to the increasing effect by this time of the non-failing graduates on the total enrollment.  The graduates alone are next considered in this respect.

  PERCENTAGES OF THE TOTAL FAILURES FOR THE GRADUATES ON THE TOTAL
  SUBJECT ENROLLMENT FOR GRADUATES, BY SEMESTERS

  Semester 1 2 3 4 5 6 7 8 9 10

  Per Cent 5.9 6.6 7.8 9.1 9.2 10.5 9.1 7.3 8.8 5.2

These percentages are based on the total possibility of failure, and reach their highest point in the sixth semester, where the percentage of failure is nearly twice that for the first semester.  These same facts may be effectively presented also by the percentages of such failures for the graduates on the total subject enrollment for only the failing graduates in each semester.