Question

3. The accompanying table shows a set of scores for seven students on an examination and the rank ordering of these students on the basis of their performance. Using students 4, 5, and 6,illustrate the nature of the information lost when one resorts to ordinal scales (i.e., rank- ings) rather than interval (or ratio) scales of measurement. Rauk 7 6 Score 79 52 46 Student 4 3 2 4 25 24 21

Answer 1

If using students 4, 5 and 6 only

By ordinal scale like rank ordering

Then we lose the information of their actual performance

We can say that student 4 has performed the best among the three students

But we have no information on how better has that student performed actually

Where in reality student 4 has also performed very poor and actually failed

But we can not know this crucial information from ordinal scaling based on students 4,5 and 6

Where all these 3 students have failed and got bad marks