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Scores & Scales Explained

What a specific number means on a specific scale, why every score needs a confidence range, and how the scales convert.

27 storiesSources listed on every story
27 stories published
What Is the Average IQ for a Teenager? What the Norms Say by Age
Scores & Scales Explained

What Is the Average IQ for a Teenager? What the Norms Say by Age

The average IQ of a teenager is 100 at every age, because IQ tests compare each teen with others of the same age. In one study of 33 teenagers retested about 3.6 years later, the group average barely moved (112 to 113) while individual scores shifted by up to 21 points.

4 min read
Cognitive Assessment System (CAS2) Scores Explained: PASS Scales
Scores & Scales Explained

Cognitive Assessment System (CAS2) Scores Explained: PASS Scales

The CAS2 reports standard scores with a mean of 100 and a standard deviation of 15, like the Wechsler tests, but builds them from four PASS scales instead of five indexes. Its publishers do not print the score labels online, so here is what the numbers mean in percentiles.

5 min read
WIAT-4 Scores Explained: Score Ranges, Descriptors and What Is New
Scores & Scales Explained

WIAT-4 Scores Explained: Score Ranges, Descriptors and What Is New

The WIAT-4 is Pearson's achievement test, given with the WISC-V. Standard scores centre on 100, 90 to 109 reads as average, and Pearson's reports use seven descriptor names. It has 20 subtests and is not an IQ test.

7 min read
RIAS-2 Scores Explained: Indexes, Score Ranges, Labels and the Normative Update
Scores & Scales Explained

RIAS-2 Scores Explained: Indexes, Score Ranges, Labels and the Normative Update

The RIAS-2 reports five index scores with a mean of 100 and a standard deviation of 15, led by the Composite Intelligence Index (CIX), and subtest T scores with a mean of 50. PAR now sells a 2023-norm Normative Update that cannot be hand-scored, and it does not publish its classification table.

8 min read
Leiter-3 Scores Explained: Nonverbal IQ, Composites and Classification Ranges
Scores & Scales Explained

Leiter-3 Scores Explained: Nonverbal IQ, Composites and Classification Ranges

The Leiter-3 gives a Nonverbal IQ from 30 to 170 (mean 100, SD 15) built from four subtests, with no spoken instructions. Four scaled scores of 10 produce 98, not 100. Its labels are not Wechsler's, and its memory and speed composites are, in the manual's words, not equated with IQ.

9 min read
DAS-II Scores Explained: GCA, Cluster Scores, T Scores and Classification Ranges
Scores & Scales Explained

DAS-II Scores Explained: GCA, Cluster Scores, T Scores and Classification Ranges

The DAS-II reports a General Conceptual Ability (GCA) score with a mean of 100 and a standard deviation of 15, and subtest T scores with a mean of 50 and a standard deviation of 10. There is no DAS-3: the newest edition is the 2023 Normative Update for ages 7 to 17, and Pearson prints two different score ranges.

8 min read
GMAT Score to IQ: The Focus Percentile Chart and Why It Is Not an IQ
Scores & Scales Explained

GMAT Score to IQ: The Focus Percentile Chart and Why It Is Not an IQ

There is no official GMAT-to-IQ conversion: GMAC says its scores have not been equated with other tests. What it publishes is a percentile among GMAT test takers, 97.5 for a Focus total of 705, a self-selected pool of 93,196 exams in a year.

6 min read
MCAT Score to IQ: What the AAMC Percentile Can and Cannot Tell You
Scores & Scales Explained

MCAT Score to IQ: What the AAMC Percentile Can and Cannot Tell You

Online calculators turn a 500 into an IQ of 100. The AAMC says its percentiles only compare you with other test takers, a group already filtered by college and ambition. No study has calibrated the modern MCAT against an intelligence test, so here is the 2026-27 percentile table and the arithmetic that shows why.

8 min read
ACT Score to IQ: What the 2026-27 National Ranks Do and Do Not Say
Scores & Scales Explained

ACT Score to IQ: What the 2026-27 National Ranks Do and Do Not Say

ACT's new national ranks put a composite of 27 at the 89th percentile of ACT-tested graduates. That is not the 89th percentile of everyone, and by ACT's own table the headline average fell mostly because of who sits the test.

9 min read
HSPT Scores Explained: Percentiles, Composites and the Cognitive Skills Quotient
Scores & Scales Explained

HSPT Scores Explained: Percentiles, Composites and the Cognitive Skills Quotient

The HSPT gives each of five subtests a 200 to 800 standard score and a national percentile, adds three composites, and reports a Cognitive Skills Quotient on an IQ-style scale. Its publisher sets no pass mark and says the quotient is not limited to innate ability.

9 min read
Is There a WISC-6 Release Date? What Pearson Has Said and What Is Still Unknown
Scores & Scales Explained

Is There a WISC-6 Release Date? What Pearson Has Said and What Is Still Unknown

Pearson has still published no release date for the WISC-6, the sixth edition of the Wechsler children's scale. Its pages show a project in a final push with eight studies marked complete, but its own notices still disagree on timing.

8 min read
ISEB Common Pre-Test Scores Explained: SAS, Percentiles and IQ
Scores & Scales Explained

ISEB Common Pre-Test Scores Explained: SAS, Percentiles and IQ

The ISEB Pre-Tests report a Standardised Age Score with an average of 100, but the comparison group is independent-school applicants, there is no pass mark, and ISEB does not send results to parents. An SAS is not an IQ, and ISEB publishes no conversion.

7 min read
Stanford-Binet 5 (SB5) Scores Explained: Ranges, Subtests and Age Range
Scores & Scales Explained

Stanford-Binet 5 (SB5) Scores Explained: Ranges, Subtests and Age Range

The Stanford-Binet 5 reports IQ scores from 40 to 160 on a mean-100, SD-15 scale from ten subtests, for ages 2 to 85 and older. An Extended IQ reaches 225, the short form uses two subtests, and no sixth edition has been announced.

8 min read
WPPSI-IV Scores Explained: Score Ranges, Composites and IQ
Scores & Scales Explained

WPPSI-IV Scores Explained: Score Ranges, Composites and IQ

Pearson's WPPSI-IV covers ages 2:6 to 7:7 and reports composites on the familiar 100-and-15 scale. Its sample report shows a Full Scale IQ of 99 built from indexes that run from 63 to 126, and no public table says what score is gifted.

7 min read
WAIS-5 vs WAIS-IV: Index Scores, Subtests and Score Ranges Explained
Scores & Scales Explained

WAIS-5 vs WAIS-IV: Index Scores, Subtests and Score Ranges Explained

The WAIS-IV gives four index scores and a Full Scale IQ built from 10 subtests. The WAIS-5 gives five indexes, 15 ancillary ones and an FSIQ built from just seven subtests. Here is what changed, what each number means, and what the score descriptions can and cannot tell you.

12 min read
Specific Abilities vs g: What New Reviews Actually Weigh
Scores & Scales Explained

Specific Abilities vs g: What New Reviews Actually Weigh

Does a subtest or index score on an IQ test tell you anything beyond the single full-scale number? Recent reviews reach different answers, largely because they ask the question with different statistical methods.

5 min read
IQ Z-Score: Formula, Table and Worked Examples
Scores & Scales Explained

IQ Z-Score: Formula, Table and Worked Examples

An IQ z-score counts how many standard deviations a score sits from 100, which is what lets you compare scores from different tests. Here are the formula, worked answers for an IQ of 75 and 120, a z-table, a percentile for every IQ from 70 to 145, and the point where the table stops being data.

13 min read
Low IQ and Disability Benefits: What the Score Rules Actually Say
Scores & Scales Explained

Low IQ and Disability Benefits: What the Score Rules Actually Say

No IQ number qualifies anyone for US disability benefits on its own. Social Security writes 70 and 75 into its intellectual-disorder listing, but each sits inside a three-part test, and a rule many pages still describe was removed in 2017.

7 min read
Is IQ Linear or Logarithmic? The Scale Is Linear, the Rarity Is Not
Scores & Scales Explained

Is IQ Linear or Logarithmic? The Scale Is Linear, the Rarity Is Not

IQ scores sit on a straight-line scale: 100 plus 15 points for each standard deviation. The curve people sense is rarity, which thins out fast above 130.

3 min read
Chart: an IQ of 110 on the bell curve at the 74.8th percentile, on the line between the Average and High Average bands, with a 95% band of 104 to 116
Scores & Scales Explained

What a 110 IQ Means: Percentile, Rarity and Is It Good?

A 110 IQ is the 74.8th percentile: about 1 person in 4 scores this high. The WISC-V and Stanford-Binet 5 call it High Average, the Woodcock-Johnson IV still calls it Average, and the margin of error runs straight across the line between them.

11 min read
Deviation IQ vs. Ratio IQ: Why the Old Formula Was Replaced
Scores & Scales Explained

Deviation IQ vs. Ratio IQ: Why the Old Formula Was Replaced

The first IQ scores came from dividing mental age by chronological age. The formula worked reasonably well for children and produced nonsense for adults — which is exactly why every major test replaced it.

7 min read
Scores & Scales Explained

The Ceiling on an IQ Test: Why Scores Stop Near 160

A score of 160 is four standard deviations above average — about one person in 31,560. The sample the score is measured against holds roughly 2,200 people, which is why the top of the table is calculated rather than observed.

8 min read
Scores & Scales Explained

Full-Scale IQ vs. Index Scores: What's the Real Difference

A Full-Scale IQ is an average of several narrower index scores, and when those indexes disagree by enough, the average describes none of them well.

6 min read
Scores & Scales Explained

An IQ Score Is a Range, Not a Number: The Margin of Error

Every properly built test publishes a standard error of measurement alongside the score. On a mean-100, standard-deviation-15 scale it is large enough that a reported 104 and a reported 111 are not reliably different results.

6 min read
Scores & Scales Explained

IQ Standard Deviation 15 vs 16: Why One Percentile Has Three Numbers

Wechsler scales use a standard deviation of 15, older Stanford-Binet forms used 16, and the Cattell scales use 24. One standing prints as three different numbers — and one printed 140 is a one-in-260 result on one of those scales and a one-in-21 result on another.

11 min read
Mensa IQ Requirement: The Score You Need on Each Accepted Test
Scores & Scales Explained

Mensa IQ Requirement: The Score You Need on Each Accepted Test

Mensa admits at the 98th percentile of a supervised, properly normed test. American Mensa's own table turns that into 130 on the Wechsler scales, 132 on the CogAT, OLSAT and NNAT2, and 148 on the Cattell. Old SAT and ACT scores can still count; newer ones cannot.

8 min read
Scores & Scales Explained

What an IQ of 120 Means, and What It Does Not

On the scale most modern tests use, 120 sits around the 91st percentile. Change the scale and the same number moves. Add the measurement error every test carries and it stops being a point at all.

6 min read
How we report

Written to be checked, not just clicked

Every number carries its scale

An IQ figure is meaningless without the scale it was measured on and the range around it. Every story here reports all three, or says plainly that the source did not.

Sources are listed, not implied

Each story ends with the studies, datasets and documents it draws on, named and attributed, so you can go and read them yourself.

We correct in public

Spotted an error? Write to corrections@iqmetrics.org. Corrections are made on the story and noted at the bottom of it — never quietly.

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