studies in Arithmetic, 1916-1917 



35 



firmative, particularly in the ranking for speed. City 5 ranks 

 only one point lower, and City 13 five points lower, while the 

 other three rank as high or higher. The relation is fairly 

 good in variability and accuracy except for Cities 12 and 19 

 in accuracy. 



TABLE XII — CoMPAEisoN of Rankings of Best Five Cities in All 

 Points, with Their Rankings in Speed, Variability, and Accuracy 



City 



Rank 



Rank in Speed 



Rank in Varubility 



Rank tn Acctjeacy 



25 



1 



1 



6 



3 



5 



2 



3 



2 



6 



13 



3 



8 



8 



5 



12 



4 



2 



8 



16 



19 



5 



5 



3 



15 



Another general condition is noticeable in Figure 5. 

 A mere glance is sufficient to show how Indiana achievement 

 keeps falling farther below the Courtis Standard and other 

 state standards as the lines move from left to right. Com- 

 pare Figure 5 with 6, 7, and 8, and it will be seen at once 

 that accuracy is much lower in addition than in subtraction, 

 multiplication, and division. The same condition is presented 

 in Figures 1 to 4 for the state as a whole. 



Comparison of the Achievements of Population Groups. 



The cities and towns that gave the arithmetic test in 1917 

 have been divided into four groups: (1) those cities and 

 towns with a population of less than 1,000, of which group 

 there were 16 school systems; (2) from 1,000 to 3,000, of 

 which there were 6; (3) 3,000 to 10,000, of which there were 

 3; (4) 10,000 and above, of which there were 2 (see Tables 

 II to VI), In connection with these four groups comparison 

 has been made in regard to the number of examples done cor- 

 rectly. The median scores for each of the four groups are 

 represented in Figures 9 to 12. 



, In the addition test, results show that in number of ex- 

 amples attempted in Group III (3,000 to 10,000) the achieve- 

 ment is above the Indiana median in all points. Group 1 

 (less than 1,000) is below in all grades except sixth and 

 seventh; Group II (1,000 to 3,000) is above in seventh and 

 eighth grades, equal to in the sixth, and below in the other 



