Measurements of Some Achievements in Arithmetic

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Let us begin yvith the individual who was unable to solve a single problem correctly and count the two individuals who solved two problems, the three who solved three problems, and so on till we come to the steps that includes the 26th indi- vidual. Now if we are to indicate the exact point in the achieve- ment of the pupils where there are just as many pupils who solve a greater number of problems as where there are those who solve a less number, it is .necessary to count 5 of the 6 individual...s who solved 10 problems correctly. Thus on the assumption that the individuals are distributed over any step at equal distances from one another, the median point is 5/6 of the distance through this step. Hence: the median achieve- ment of this class, i.e., the median number of problems solved, is 10.8 problems correctly solved.
Similarly there are 37 pupils in Class II. The middle case is the 19th pupil, who is the fifth pupil in step 4. There are 18 pupils who solve a greater number of problems and 18 who solve a less pumber of problems.


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