Data (Abstract) Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Classify each variable: (a) blood type (A, B, AB, O), (b) temperature in Celsius, (c) jersey number, (d) number of goals scored.

Solution

  1. 1
    (a) Blood type: categorical โ€” no numeric meaning to letters
  2. 2
    (b) Temperature in Celsius: quantitative continuous โ€” arithmetic is valid
  3. 3
    (c) Jersey number: categorical โ€” identifies a player, arithmetic meaningless
  4. 4
    (d) Goals scored: quantitative discrete โ€” countable whole numbers with arithmetic meaning

Answer

Categorical: blood type, jersey number. Quantitative: temperature (continuous), goals scored (discrete).
Even if a variable appears as a number (jersey numbers), context determines its type. Always ask: 'Is arithmetic on this variable meaningful?' If averaging jersey numbers is nonsensical, the variable is categorical.

About Data (Abstract)

Data is a collection of recorded observations or measurements used to describe, analyze, or make inferences about a phenomenon or population.

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