Consider a measurement scale with which you are familiar that you know to be a ratio scale, say, distance. If two roads are five kilometres and three kilometres long respectively then they differ in length by two kilometres. If two other roads are nine kilometres and 7 kilometres long then they also differ in length by the same amount. Furthermore, that two kilometre distance is the same in both cases; it would take the same effort to travel that two kilometre distance on either road. This implies that distance is a ratio scale.
However, suppose persons A and B score 110 and 125 respectively on some test, a difference of 15 test points; meanwhile C and D score 75 and 90 on the test, again a difference of 15 test points. In general it would be impossible to know whether the difficulty in going from a score of 75 to 90 would be the same as going from 110 to 125. But of course the scores are ordered by difficulty. Therefore, the test scores make ordinal data.
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