Q.You can put Indian cricket team players as superior, average, or poor batsman. But precise measurement can not be done as sometime they may perform differently. Explain why this is an example of ordinal level of measurement.

Ordinal Level Measurement

Imagine you are ranking students in a class by height. You line them up and say: "Ravi is tallest, then Priya, then Ankit, then Meera." You know the order — who is taller than whom — but you do not know how much taller. Ravi might be 5 cm taller than Priya, but Priya might be only 1 cm taller than Ankit. The gaps between ranks are not equal, and you have no way to measure them from the ranking alone.

That is the core intuition behind ordinal measurement: you can arrange things in a sequence, but the distances between positions are unknown or meaningless.

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The precise statement

In statistics and measurement theory, ordinal level measurement is the second of four levels (nominal, ordinal, interval, ratio). It classifies data that can be ordered or ranked, but where the differences between values are not quantifiable or consistent.

Key properties:

• Order matters. You can say "greater than" or "less than" for any two observations.
• Differences are not meaningful. You cannot say "A is twice as much as B" or "the gap between A and B equals the gap between C and D."
• Arithmetic operations (addition, subtraction, multiplication, division) are invalid. You can only compare ranks.

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Real examples

• Education: Grades (A, B, C, D, F). An A is better than a B, but the "distance" from A to B is not necessarily the same as from B to C.
• Surveys: "Rate your satisfaction: Very Unsatisfied, Unsatisfied, Neutral, Satisfied, Very Satisfied." You know the order, but not the psychological gap between categories. …