Haggerty: Study in Arithmetic 



441 



In Table XXXY these medians are ranked. Rank 1 is given 

 to the city having the highest median, rank 2 means second highest 

 median, and so on. Reading down colnmn 2, fifth grade addition 

 attempts, we find city 1 has rank 5, city 2 rank 16, and so on to city 

 20 with rank 12. Inasmnch as the several cities do not maintain 

 the same rank in all points, a composite rank is made by adding 

 across the table the ranks made in the thirty-two points. On this 

 basis a new ranking is made which may be regarded as showing 

 the relative standing of each city in the entire set of tests so 

 far as such relative standing is shown by median scores. The 

 figures indicating this composite ranking are found in the first 

 column to the left of the table. 



It is interesting to note that cities do not maintain the same 

 rank in all the measures. Thus city 10, which has first place in 

 seventh grade multiplication rights and which ranks 3 in the 

 entire set of tests, falls to rank 13 in fifth grade division rights. 

 City 13, ranking first in the entire set and having first in eleven 

 of the separate tests, falls to rank 10 in seventh grade subtraction 

 rights and 10.5 in eighth grade addition attempts. In the latter 

 point it is no better than city 15 whose composite rank is 12. City 

 1 is interesting as ranking first in all eighth grade points except 

 two, and ranking second in these, but falling to fourteenth place 

 in fifth grade division rights and not rising above third place in 

 any fifth grade measure. If the relative achievement of a school 

 system is a valid measure of its work then it ought not be difficult 

 for any one of the school cities here concerned to locate its strengths 

 and weaknesses. The sore spots are indicated by the high numbers 

 and wherever the number is greater than ten that city is below 

 the average. Numbers less than ten mean better than the average. 

 These ranks indicate therefore where attention should be giveu. 

 City 1 and city 9 should look to their fifth grades, city 15 is better 

 everywhere than in its eighth grade, and city 13 is poorer in 

 addition in three grades than in any of the other processes. In 

 the seventh it is weakest in subtraction. 



There is consolation in this table, however, for every city. 

 There is not a case where a city does not do better than the average 

 in at least one thing. City 2, with composite rank 20, ranks 9 

 in seventh grade subtraction rights, and in several other points it 

 approximates the average. In only five cases is it really the 

 lowest ; in every other case some one of the other cities is lower 

 than city 2, 



