What an IQ of 112 means

An IQ of 112 is higher than about 78.8% of people: roughly 1 in 5 score 112 or more. It is in the high average range, 0.8 standard deviations above the average of 100.

Figure 1. Where an IQ of 112 sits on the bell curve

The amber band is the likely range on a retake of our test, 9 points either side. The curve is the normal distribution with a mean of 100 and a standard deviation of 15.

Is an IQ of 112 good?

Yes, it is above average: higher than about 78.8% of people, in the high average range.

What percentile is an IQ of 112?

An IQ of 112 is at the 78th percentile: it is higher than 78.8% of people on a scale with a mean of 100 and a standard deviation of 15.

Tests that use a different standard deviation give the same rarity a different number: about 113 on a 16-point scale such as older Stanford-Binet editions, and about 119 on the 24-point Cattell scale.

How rare is an IQ of 112?

About 1 in 5 people score 112 or higher. In a group of 1,000 people, about 212 would be expected to score that high or higher.

How much could a retake change it?

No test gives the same score twice. The likely range is where about 90 in 100 retakes would land, and its width depends on how reliable the test is.1

Table 1. The likely range for a score of 112
TestMargin of errorLikely range
Our test (reliability 0.87)±9103 to 121
A test with reliability 0.90±8104 to 120
A test with reliability 0.95±6106 to 118

The margin is 1.645 standard errors of measurement, which covers about 90% of retakes.

What an IQ of 112 does not tell you

A score describes how someone did on one set of reasoning tasks on one day. It does not measure what a person knows, how hard they work or what they will achieve.

An online test is for interest. For a score that counts for school, work or health, a psychologist can give a full assessment in person.

Nearby scores

Sources

  1. American Educational Research Association, American Psychological Association and National Council on Measurement in Education (2014). Standards for Educational and Psychological Testing, chapter 2: Reliability/Precision and Errors of Measurement. www.testingstandards.net/open-access-files.html

First published 13 November 2026.