Respuesta :
Answer:
95% of adults with scores between 70 and 130.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 15
We are given that the distribution of IQ score is a bell shaped distribution that is a normal distribution.
Empirical Formula:
- According to this rule approximately all the data lies within three standard deviations of mean for a normal distribution.
- About 65% of data lies within one standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within three standard deviation of mean.
We have to o find the percentage of adults with scores between 70 and 130.
[tex]70 = \mu - 2\sigma = 100 - 2(15)\\130 = \mu + 2\sigma = 100 + 2(15)[/tex]
Thus, by Empirical rule, 95% of data lies within two standard deviation of mean, thus, 95% of adults with scores between 70 and 130.
