studies in Arithmetic, 1916-1917 



TABLE XIII— Continued 



39 





Git\DE 7 



CtH-\de S 





Addi- 

 tion 



Sub- 

 trac- 

 tion 



Muki- 

 plica- 

 tion 



Divi- ■ 

 si on 



Addi- 

 tion 



Sub- 

 trac- 

 tion 



Midti- 

 plica- 

 tion 



Di\-i- 

 sion 



City 





































>» 









>> 



-1 

















-S 







g. 



i 



"S. 







Q 





2 















a 









i 



r 







i: 



E 





f 



'£ 





z 







S 



5 









£ 





i 



E 



- 



b 







3 







0- 







1 



15 



24 



16 



20 



20 



25 



- 



17 



29 



15 



18 



12 



11 



15 



19 



29 



22 



2 



14 









21 



16 



oO 



22 



24 



25 



15 



17 



21 



15 



19 



22 



q 



o 



14 





IS 



17 



17 



16 



33 



oo ' 



13 



17 



12 



16 



12 



00 



00 



22 



4 



12 



o - 



17 



In 



M 



15 



10 



oo 



17 



24 



10 



10 



15 



21 



33 



21 



0 



17 



14 



15 



Oj:- 



10 



13 



21 



15 



15 



10 



12 



11 



12 



14 



32 



23 



0 



IP 



17 



24 



12 



31 



IS 



13 



13 



15 



21 



07 



17 



11 



0 



20 





/ 



14 



2i^> 





10 



25 



17 



26 



20 



23 



14 



6 





21 



00 



30 



17 



Q 



O 



24 





13 



13 



13 



15 



17 



15 



25 



23 



20 



13 



15 





00 



13 



o 



16 





14 



23 



11 



24 



15 



19 



21 



24 



16 



17 



14 



'14 



00 



14 



in 





21 



o- 



1^ 



17 



2i-; 



24 



22 



40 



19 



33 



14 



15 



19 



20 



14 



16 



li 



19 



21 



li^ 



20 



oo 



42 



20 



17 



23 



18 



19 



20 



07 



29 



15 



1 o 



iZ 



35 



20 



15 



2i;i 



14 



17 



oo 



13 



14 



17 



22 



18 



30 



15 



Is 



15 



1 Q 





14 



1" 



17 



22 



16 



31 



IS 



21 



oo 



Is 



16 



23 



16 



23 



9 



1 ± 



i-± 



32 



ly 



10 



10 



10 



31 



2S 



11 



15 



20 



15 



19 



10 



10 



31 



15 



1 ^ 





20 









17 



13 



21 



20 



17 



36 



18 



14 



12 



14 



23 



13 



ID 



27 



14 



12 





20 





11 



10 



19 



11 



16 



15 



15 



31 



1 7 



16 



33 



15 



24 



In 



14 



13 



IS 



20 



oo 



16 



19 



12 



IS 



16 





1 c 



lo 



18 



23 



16 



21 



17 



24 





IS 



1.' 



10 



11 



17 



11 



20 



16 



14 



ly 



15 



13 



16 



12 



1' 





21 



17 



17 



oo 



17 



14 



10 



15 



23 



12 



on 



14 



20 





10 











In 



IS 



13 



14 



10 



11 



00 





21 



17 



19 



13 



24 



]_ S 



oi 



10 



10 



In 



In 



15 



25 



15 



21 



24 



'23 





21 



21 



oiJ 







15 



3''i 



12 







11 



20 



IS 



IS 



23 



17 



23 



24 



oo 





21 



21 



oo 







Is 



15 



15 



15 



1 



13 



21 





24 



18 



20 



Is 



Is 





24 



o - 



24 







1^ 



10 



15 



24 



26 



'19 



25 



18 



20 



2ij 



13 



10 



20 



1^ 



13 



13 



21 



12 



14 



13 



15 



10 



15 



26 



20 



21 



I'J 



21 









26 



17 



19 



17 



IS 





25 



31 



21 



27 



21 





17 





0" 





21 



■^n 



r.' 



IS 



16 



13 



I 



19 



26 



12 



Indh'idiial 



r;' 



o- 





2i 1 





21 



29 



23 



17 



25 



IS 



18 



IS 



19 



07 



21 



Citv 



17 



21 



17 



Is 



In 



10 



24 



19 



1 """^ 



0| 



15 



16 



17 



17 



24 



14 



in City 22 and 37 in City 11. In tlie same table, in the col- 

 imni for accuracy in eigiitli grade addition, it ranges from 17 

 in Cities 8 and 12 to 33 in City 10, and 36 in City 15. 



According to "\Ir. Courtis' standard, Indiana still has much 

 to accomplish. He believes variabilities of 12 per cent to 15 

 p^r cent represent good voork under present conditions. Out 

 of the 816 possible per cents of variability there are 124 that 

 range from 12 to 15, 11 are 11 per cent, 3 are 9 per cent, and 

 1 is 6 per cent. In several cases the per cent is zero, but the 

 distributions for these cases are so small that they are not 

 generally reliable. Haggerty in his 1914 study places the 



