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IQ scores for adults are normally distributed with mean 100 and standa
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07 Nov 2021, 16:07
07 Nov 2021, 16:07
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IQ scores for adults are normally distributed with mean 100 and standard deviation 15.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
An IQ score of 115 |
An IQ score of 50th percentile |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: IQ scores for adults are normally distributed with mean 100 and standa
[#permalink]
07 Nov 2021, 17:42
07 Nov 2021, 17:42
1
Carcass wrote:
IQ scores for adults are normally distributed with mean 100 and standard deviation 15.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
An IQ score of 115 |
An IQ score of 50th percentile |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Key property: The normal distribution is symmetric about the mean
Since the mean IQ is 100, we know that 50% of the adults have an IQ less than 100, and 50% of the adults have an IQ greater than 100.
Another words, an IQ of 100 is in the 50th percentile (aka Quantity B), which means we have:
QUANTITY A: 115
QUANTITY B: 100
Answer: A
gmatclubot
Re: IQ scores for adults are normally distributed with mean 100 and standa [#permalink]
07 Nov 2021, 17:42
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