Respuesta :
Answer:
Step-by-step explanation:
The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
The distribution of the IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 15.
Therefore, the range of IQ scores that many (68%) people have is between
100 - 15 and 100 + 15
It becomes
85 to 115
The range of IQ scores for 68% of the people varies from 85 to 115
Given that the distribution of IQ (Intelligence Quotient) is approximately normal in shape
[tex]\rm Mean\; IQ =\mu = 100 \\Standard\; deviation = \sigma = 15[/tex]
According to the empirical relation for normal curve 68% of the data lies in the range
[tex]\rm \mu + \sigma\; to \; \mu - \sigma[/tex]
So the lower limit of the range of the normal distribution of IQ score = 100 -15 = 85
The upper limit of the range of the normal distribution of IQ score = 100 + 15 = 115
So we can conclude that the range of IQ scores for 68% of the people varies from 85 to 115
For more information please refer to the link given below
https://brainly.com/question/5729585
