Haggerty: Study in Arithmetic 



505 



Indiana Standard Chart 



In Figure 49 is presented a chart that should prove of great 

 value as an administrative device. In this figure the individual 

 medians of the 8,712 children reported by the twenty cities are rep- 

 resented by short horizontal lines across the page so drawn as to 

 appear at mid-section of the vertical dimension. These lines are 

 called the Indiana Standards. Each vertical line represents the 

 scale for the test in question. The first, third, fifth, etc., lines 

 represent the number of problems attempted in the several tests 

 in the several grades. The second, fourth, sixth, etc., lines in a 

 corresponding manner scale the examples right. The portion of 

 each line below the Indiana Standard is proportional to the dif- 

 ference between the zero and the median score. It is accordingly 

 scaled into the proportional number of parts. The part of the 

 line above the Indiana Standard is similarly scaled. Each vertical 

 line is therefore a different scale from every other vertical line, 

 since the median is different in every case. 



It is possible on this form to graph the results from any class, 

 school, or city and to see quickly its relative standing. To do 

 this you locate the proper score on its appropriate vertical line. 

 If you join the points so located on the attempts scale by a solid 

 line with the similar point on the rights scale, you have repre- 

 sented the dependability of the work. If the line so drami is 

 parallel to the Indiana Standard the per cent of dependability is 

 the same as the Indiana Standard. If the line slants upward to the 

 right, the dependability is greater. If the line slants downward to 

 the right, the dependability is less. 



Figures 50 and 51 show the results for two cities which are not 

 represented in previous figures. The results from Anderson appear 

 in the table but were not received in time to be included in the 

 data from which the first graphs were made. The Bloomington 

 returns do not appear in the tables. They are given here for their 

 intrinsic interest. Both of these cities appear clearly above the 

 Indiana Standard although each falls short in a few instances. 

 This superiority is true also of their ranks in dependability as 

 is sho^^Tl by the general upward slant of the dependability lines. 



The causes for this evident superiority are not certain, but from 

 the writer 's somewhat intimate knowledge of the situation in both 

 of these cities he is mlling to hazard a guess. In the latter case 

 the Courtis tests have been used at frequent intervals during the 

 past three or four years. As a result the teachers have become 



