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Question

What is a normal IQ range?

Short answer

A normal IQ range is usually given as 85 to 115, which holds about 68% of people: everyone within one standard deviation of the average of 100. The WAIS-IV uses a narrower label, calling 90 to 109 Average. Both are correct; they answer slightly different questions.

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7085100115130

The statistical range: 85 to 115

Modern IQ tests are scaled so the mean is 100 and the standard deviation is 15 (Wikipedia: Intelligence quotient). Because scores follow a normal curve by construction, about 68% of people fall within one standard deviation of the mean, 85 to 115, and about 95% within two, 70 to 130 (the 68-95-99.7 rule). When people say “normal range”, they usually mean the first of these.

Try one · Logical Reasoning

Which tile completes the second pair?

Tap the option you think is right, or show the answer.

Show the answer

The missing panel shows a small solid triangle pointing up, with small solid shapes: a diamond at the top-right corner and a diamond at the top-left corner (option 2).

How to solve it

  1. Compare the first two panels and name exactly what changed.
  2. The main shape and the small shapes swap forms: the main shape takes the form of the small ones, and the small ones take the form of the main shape.
  3. Nothing else changes.
  4. Apply the same change to the third panel: a small solid diamond, with small solid shapes: a triangle at the top-right corner and a triangle at the top-left corner.
  5. So the missing panel shows a small solid triangle pointing up, with small solid shapes: a diamond at the top-right corner and a diamond at the top-left corner.

That was 1 puzzle. The full test has 25.

The label range: 90 to 109

The WAIS-IV classification calls 90 to 109 Average (Wikipedia: IQ classification). From the normal curve, about 49.5% of people score in that band. Just above it is High Average (110 to 119), and just below is Low Average (80 to 89). So a score of 112 is inside the statistical normal range but carries the High Average label.

Which one should you use?

If you want to know how typical a score is, use the standard deviation: 85 to 115 is where most people land. If you want the wording a psychologist's report might use, use the WAIS-IV labels. The guide to IQ classification lists all seven bands, and the IQ score chart gives the percentile for every score.

One caution: these ranges assume a standard deviation of 15. On a test that uses 16 or 24, the same share of people covers wider numbers. Read why IQ scores differ between tests before comparing numbers from different tests.

Sources

  1. 68-95-99.7 rule. Wikipedia. en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule
  2. IQ classification. Wikipedia. en.wikipedia.org/wiki/IQ_classification
  3. Intelligence quotient. Wikipedia. en.wikipedia.org/wiki/Intelligence_quotient

3 questions

Questions

Is 85 a normal IQ?

85 sits exactly one standard deviation below the mean, at the bottom edge of the 85 to 115 range. It is higher than about 15.9% of people and is labeled Low Average on the WAIS-IV.

Is 115 a normal IQ?

115 is at the top edge of the 85 to 115 range and higher than about 84.1% of people. The WAIS-IV labels it High Average.

What percentage of people have an IQ between 70 and 130?

About 95%. That is the range within two standard deviations of the mean on a scale with standard deviation 15.

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