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STANDARD NINE · ONE DIGIT

IQ to stanine calculator: a whole score in one punch-card column.

Stanines cut the curve into nine bands, each half a standard deviation wide. They lose detail on purpose: one digit is easy to read on a school report.

IQ (SD 15)
118→ stanine7
Stanine 7 covers IQ 111.3–118.8, about 12% of people. Formula: round(2z + 5), clipped to 1–9.
COLUMN 1 · STANINE · CLICK A ROW
Percent of people in each stanine: 4 · 7 · 12 · 17 · 20 · 17 · 12 · 7 · 4.
THE BANDS IN IQ POINTS

Each middle stanine spans 7.5 IQ points

Stanine 5 is centred on the mean (z −0.25 to +0.25). Each step out adds half an SD; stanines 1 and 9 take everything beyond ±1.75 SD.

≤73.773.8–81.381.3–88.888.8–96.396.3–103.8103.8–111.3111.3–118.8118.8–126.3≥126.3
Stanine 1Very low
Stanine 2–3Below average
Stanine 4–6Average
Stanine 7–8Above average
Stanine 9Very high

Descriptive labels as commonly used on UK school reports (e.g. CAT4-style); wording varies by publisher.

IN A CLASSROOM

How a typical class would spread out

If a class were a random draw from the national norm group, this is the expected count in each stanine. Real classes are not random: selective schools bunch at the top, and small groups wander far from the expected split.

Expected: 1×1, 2×2, 4×3, 5×4, 6×5, 5×6, 4×7, 2×8, 1×9. Outlined seats share your stanine (7).
122333344444555555666667777889
THE PRICE OF ONE DIGIT

Seven points can look identical; one point can look like a jump

Compare two pupils. Near a band edge, measurement error (a few IQ points on any test) is enough to flip a stanine either way. Read a stanine as "about here", and look at the underlying score before acting on a one-band change.

Stanine 6 vs 7Only 1 IQ point apart, well inside measurement error, yet the report shows different bands.
WHERE STANINES CAME FROM

A wartime shortcut that stayed in schools

The US Army Air Forces' official history records that aircrew test scores "were converted into stanines", a word coined from STAndard NINE. The aviation psychology programme, headed by John C. Flanagan from 1941, combined test batteries into separate pilot, navigator and bombardier stanines. From 2 July 1942 navigator trainees needed a navigator stanine of 5 or more; from 28 November 1942 pilots and bombardiers needed at least 3, and the minimums were raised as training pipelines filled in late 1943.

The popular story that one digit was chosen to fit a single punched-card column is plausible but undocumented; Robert Thorndike argued the coarse scale was useful because it discourages reading meaning into small score differences.

After the war, test publishers adopted the scale for school reports, where it remains common in the UK, Ireland, Scandinavia and New Zealand.

Stanine vs sten for IQ 118
Stanine
7
Sten
8

Stens ("standard ten", mean 5.5, SD 2) have no middle band: 5 and 6 straddle the mean. They are used on personality inventories such as the 16PF.

REFERENCES
  1. Craven, W. F., & Cate, J. L. (Eds.) (1955). The Army Air Forces in World War II, Vol. VI: Men and Planes, ch. 16. University of Chicago Press. Stanine definition and 1942 minimums.
  2. Flanagan, J. C. (Ed.) (1948). The Aviation Psychology Program in the Army Air Forces (AAF Aviation Psychology Program Research Reports, No. 1). US Government Printing Office.
  3. Canfield, A. A. (1951). The 'sten' scale: A modified C-scale. Educational and Psychological Measurement, 11(2), 295–297.
  4. GL Assessment. CAT4 (Cognitive Abilities Test, 4th ed.) score interpretation guidance: standard age scores, stanines and national percentile ranks.
  5. Cattell, R. B., Eber, H. W., & Tatsuoka, M. M. (1970). Handbook for the Sixteen Personality Factor Questionnaire. IPAT.

More than one digit

Take the full IQ test for a precise score, with the stanine alongside.

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