Further confirmation of how the increase of failures accompanies the pupils who stay longer in school is offered in the facts of [Table IV]. Here are indicated the number of pupils who before graduating fail 1, 2, 3, etc., times, in semesters 1, 2, 3, etc., up to 10. Of all the occurrences of only one failure per pupil in a semester, 50 per cent are distributed after the fourth semester. In this same period (after the fourth semester) are found 53.2 per cent of those with two failures in a semester; 67.6 per cent of those with three failures in a semester; 71.6 per cent of those having four; 78.6 per cent of those having five; and all of those having six failures in a single semester. One could almost say that the longer they stay the more they fail.

The statements presented herein regarding the relative increase of failures for at least the first three years in school are likely to arouse some surprise among that portion of the people in the profession, with whom the converse of this situation has been quite generally accepted as true. Such an impression has indeed not seemed unwarranted according to some reports, but the responsibility for it must be due in part to the manner of presenting the data, so that at times it actually serves to misstate or to conceal certain important features of the situation. Since the dropping out is heaviest in the early semesters, and since the school undertakes the expense of providing for all who enter, it does not seem to be a correct presentation of the facts to compute the percentage of failure on only the pupils who finish the whole semester. Such a practice tends to assign an undue percentage of failures to the earlier semesters, one that is considerably too high in comparison with that of the later semesters where the dropping out becomes relatively light. It is not sufficient to report merely what part of our final product is imperfect, instead of reporting, as do most institutions outside of the educational field, what part of all that is taken in becomes waste product. This situation is sufficiently grievous to demand further comment.

In his study of the New Jersey high schools, Bliss states[28] that one of the striking facts found is the "steady decrease of failure from the freshman to the senior year." If we bear in mind that Bliss used only the promotion sheets for his data, and took no account of the drop-outs preceding promotion, and if we then estimate that an average of 10 per cent may drop out before the end of the first semester (the percentage is 13.2 for our eight schools), then the percentages of failure recorded for the first year will be reduced by one-eleventh of their own respective amounts for each school reported by Bliss, as we translate the percentages to the total enrollment basis. As a consequence of such a procedure, Bliss' percentages, as reported for the second year, will be as high as or higher than those for the first year in six of the ten schools concerned, and nearly equal in two more of the schools. It is also evident that his percentages of failure as reported for the junior and senior years are not very different from each other in six of the ten schools, although there is no inclusion of the drop-outs in the percentages stated. The only pronounced or actual decrease in the percentages of failures as Bliss reports them, occurs between the sophomore and junior years, and it is doubtless a significant fact that this decided drop appears at the time and place where the opportunity for elective subjects is first offered in many schools. Yet apparently it has not seemed worth while to most persons who report the facts of failure to compute separately from the other subjects the percentages for the 3- and 4-year required subjects.

A rather small decline is shown in the percentages of failure for the successive semesters, as quoted below for 2,481 high school pupils of Paterson[29] (the average of two semesters), although these percentages are based upon the number of pupils examined at the completion of the semester. It may further be noted that these percentages do not follow the same pupils by semesters, but state the facts for successive classes of pupils. The same criticisms may be offered for the percentages as quoted from Wood[30] for 435 pupils.

PERCENTAGES OF PUPILS FAILING, BY SEMESTERS

SEMESTERS
12345678
Paterson17.818.416.715.015.611.69.47.4
Wood24.514.529.530.031.07.916.2. .
OBrien ([p. 41])11.513.914.515.114.515.312.19.9

The above series of percentages tend to agree at least in showing little or no decline in the percentages of failure for the first five or six semesters in school.

Another tendency to conceal important features in relation to the facts of school failures may be found in the grouping together of non-continuous and continuous subjects, the latter of which are generally required. F.W. Johnson found in the University of Chicago High School[31] that the percentage of failures by successive years indicated little or no decrease for mathematics and for English (which were 3- and 4-year subjects respectively). The figures were based on the records for a period of two years. In regard to St. Paul, it was possible to compute similar information from the data which were available.[32] The percentages of failure are presented separately in each case for Latin, German, and French, not more than two years of which are required in the schools referred to above. A contrast is thus presented that is both interesting and suggestive.

PERCENTAGES OF PUPILS FAILING, BY YEARS. (Johnson, F.W.)

YEARS
1234
English18.19.518.414.4
Math12.912.913.65.6
Latin14.19.02.9. .
German12.47.4. .. .
French14.39.63.1. .