Levels of measurement
Every variable you collect sits at one of four levels of measurement — nominal, ordinal, interval, ratio — and the level isn’t a technicality: it decides which statistics you’re allowed to use. Compute a mean on the wrong level and you get a number that looks precise and means nothing. Decide the level for each variable as you design your instrument, not after the data is in.
The four levels
| Level | What it adds | Example | Centre |
|---|---|---|---|
| Nominal | Unordered categories | Blood type, country | Mode |
| Ordinal | + order (unequal gaps) | Pain: mild/moderate/severe | Median |
| Interval | + equal gaps (no true zero) | Temperature (°C) | Mean |
| Ratio | + true zero | Weight, reaction time | Mean |
Each level adds a property to the one before it — order, then equal spacing, then a meaningful zero — so it’s a ladder, not four unrelated boxes.
Interval vs ratio: the true zero
The only difference is a meaningful zero. 0 kg means “no weight,” so 20 kg is genuinely twice 10 kg — that’s ratio. 0 °C does not mean “no temperature,” so 20 °C is not twice as hot as 10 °C — that’s interval. The true zero is what licenses “twice as much” statements.
Why it decides your statistics
The level caps what’s legitimate: you can count and find the mode at any level; the median needs order (ordinal+); the mean needs equal intervals (interval+); ratios (“twice as much”) need a true zero (ratio). This is exactly why a single Likert item (ordinal) should be summarised by a median, while a multi-item Likert scale (≈interval) can take a mean. It’s also the first question the statistical-test guide asks when choosing a test.
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Frequently asked questions
What are the four levels?
Nominal (unordered categories), ordinal (ordered, unequal gaps), interval (equal gaps, no true zero), ratio (equal gaps + true zero).
Why do they matter?
The level caps which statistics are valid — e.g. a mean needs interval or ratio data. Wrong level → meaningless numbers.
Interval vs ratio?
Ratio has a meaningful zero (20 kg is twice 10 kg); interval doesn’t (20°C isn’t twice 10°C).
What level is a Likert scale?
A single item is ordinal; a multi-item scale is treated as approximately interval.