A qualitative variable is a variable that has categorized values and the difference cannot be measured.
A quantitative variable is a variable that consist of ordinary values and the difference can be measured.
Depending on the type of class rank it can be both qualitative as quantitative.
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Sales rank is a quantitative variable. The underlying value is sales, obviously a quantitative value. The median, minimum, maximum and percentile values are all quantitative statistics based on the ranking of data.
Fran's rank score is for 1 test. Kelly's rank is the CLASS rank. That means that Kelly is # 60 in a class of 500. Or, if you simplify, she is #12 in a class of 100. Fran's percentile rank on the exam was 85%, or 85 out of 100. Therefore, there are 15 percentile points that other people got higher than Fran's score. But there are only 11 people ahead of Kelly. Therefore, Kelly is ranked higher.
Actually, it can be and is frequently treated as either. If the data is collected as a numerical value (for example, $35,500), then it is continuous. However, it is often simpler and more useful, especially in surveys, to collect the data as a set of ranges (20,000 - 29,999; 30,000 - 39,999; etc.). In this case, it would be an ordinal variable. Ordinal variables are discreet categories that still have a rank order.
the different of status rank
Spearman's rank correlation coefficient