How to norm a High Range I.Q. Test

High Range I.Q. Tests are IQ tests that try to measure intelligence quotients beyond the 99.9% percentile or 149 sd16, I.Q. Stanford-Binet (16 points per s.d.)

IQ scores are calculated based on a norm group with an average score of 100 and a standard deviation of 16. The standard deviation is a measure of spread, in this case of IQ scores.

To measure intelligence quotients beyond the 99.9% percentile or 149 sd16, I.Q. Stanford-Binet (16 points per s.d.) the size of the norm group must be bigger than one thousand since IQs beyond this point are expected to be detected.

Since the purpose of High Range IQ Tests is to detect intelligence quotients beyond the 99.9999% percentile 176 sd16, I.Q. Stanford-Binet (16 points per s.d.) the size of the norm group must be one hundred thousand or bigger.

Using the Base X Distribution,

the Stanford-Binet Scale, the Base X I.Q. Scale and reasoning quotient and theoretical sample size of hundred thousand this is to calculate the accuracy and validity of High Range Tests norms.

N=100,000

Percentile

90%ile

One among Ten of the unselected population

1/10

Standard deviation above the mean

1.282

I.Q. Stanford-Binet (16 points per s.d.)

121

Above average intelligence

Reasoning Quotient (rQ 1/10)

0.1

Percentage of the world population that can achieve this score

10%

Theoretical number of individuals with this I.Q. and reasoning quotient in this sample size

10,000

Validity and accuracy of a high range test norm with this sample size

100%

Percentile

99%ile

One among One Hundred of the unselected population

1/100

Standard deviation above the mean

2.327

I.Q. Stanford-Binet (16 points per s.d.)

137

Gifted

Reasoning Quotient (rQ 1/9)

0.111111111111111

Percentage of the world population that can achieve this score

1%

Theoretical number of individuals with this I.Q. and reasoning quotient in this sample size

1,000

Validity and accuracy of a high range test norm with this sample size

100%

Percentile

99.9%ile

One among Thousand of the unselected population

1/1,000

Standard deviation above the mean

3.091

I.Q. Stanford-Binet (16 points per s.d.)

149

Intelligent

Reasoning Quotient (rQ 1/8)

0.125

Percentage of the world population that can achieve this score

0.1%

Theoretical number of individuals with this I.Q. and reasoning quotient in this sample size

100

Validity and accuracy of a high range test norm with this sample size

100%

Percentile

99.99%ile

One among One Thousand of the unselected population

1/10,000

Standard deviation above the mean

3.719

I.Q. Stanford-Binet (16 points per s.d.)

160

High intelligence

Reasoning Quotient (rQ 1/7)

0.142857142857143

Percentage of the world population that can achieve this score

0.01%

Theoretical number of individuals with this I.Q. and reasoning quotient in this sample size

10

Validity and accuracy of a high range test norm with this sample size

100%

Percentile

99.999%ile

One among Hundred Thousand of the unselected population

1/100,000

Standard deviation above the mean

4.265

I.Q. Stanford-Binet (16 points per s.d.)

168

Very high intelligence

Reasoning Quotient (rQ 1/6)

0.166666666666667

Percentage of the world population that can achieve this score

0.001%

Theoretical number of individuals with this I.Q. and reasoning quotient in this sample size

1

Validity and accuracy of a high range test norm with this sample size

100%

End Of The Bell Curve

Percentile

99.9999%ile

One among One Million of the unselected population

1/1,000,000

Standard deviation above the mean

4.75

I.Q. Stanford-Binet (16 points per s.d.)

176

Pervasive intelligence

Reasoning Quotient (rQ 1/5)

0.2

Percentage of the world population that can achieve this score

0.0001%

Theoretical number of individuals with this I.Q. and reasoning quotient in this sample size

0

Validity and accuracy of a high range test norm with this sample size

90%

Percentile

99.99999%ile

One among Ten Millions of the unselected population

1/10,000,000

Standard deviation above the mean

5.1875

I.Q. Stanford-Binet (16 points per s.d.)

183

High pervasive intelligence

Reasoning Quotient (rQ 1/4)

0.25

Percentage of the world population that can achieve this score

0.00001%

Theoretical number of individuals with this I.Q. and reasoning quotient in this sample size

0

Validity and accuracy of a high range test norm with this sample size

70%

Percentile

99.999999%ile

One among One Hundred Millions of the unselected population

1/100,000,000

Standard deviation above the mean

5.625

I.Q. Stanford-Binet (16 points per s.d.)

190

Exceptional intelligence

Reasoning Quotient (rQ 1/3)

0.333333333333333

Percentage of the world population that can achieve this score

0.000001%

Theoretical number of individuals with this I.Q. and reasoning quotient in this sample size

0

Validity and accuracy of a high range test norm with this sample size

40%

Percentile

99.9999999%ile

One among One Billion of the unselected population

1/1,000,000,000

Standard deviation above the mean

6

I.Q. Stanford-Binet (16 points per s.d.)

196

High exceptional intelligence

Reasoning Quotient (rQ 1/2)

0.5

Percentage of the world population that can achieve this score

0.0000001%

Theoretical number of individuals with this I.Q. and reasoning quotient in this sample size

0

Validity and accuracy of a high range test norm with this sample size

0%

Theoretical I.Q.

Percentile

99.99999999%ile

One among Ten Billions of the unselected population

1/10,000,000,000

Standard deviation above the mean

6.375

I.Q. Stanford-Binet (16 points per s.d.)

202

Unmeasurable intelligence

Reasoning Quotient (rQ 1/1)

1

Percentage of the world population that can achieve this score

0.00000001%

Theoretical number of individuals with this I.Q. and reasoning quotient in this sample size

0

Validity and accuracy of a high range test norm with this sample size

0%