Final answer:
To determine how many people have an IQ above 134, a z-score is calculated and then used to find the proportion of the population that falls above that score. Technology such as a z-table or calculator is needed to find the probability, which is then multiplied by the population size to get the number of individuals.
Step-by-step explanation:
To find the approximate number of people in a country with an IQ higher than 134, we use the properties of the normal distribution. The mean IQ score is 100 and the standard deviation is 15. To find out how rare a score of 134 is, we calculate the z-score, which is the number of standard deviations a data point is from the mean. The z-score is calculated as (X - μ) / σ, where X is the IQ score, μ is the mean, and σ is the standard deviation. Substituting the values, we get (134 - 100) / 15 = 2.267. Using technology such as a z-table, statistical software, or a calculator with statistical functions, we can find the probability that corresponds to this z-score.
From the z-table, we find that the area to the right of a z-score of 2.267 is approximately 0.0118, which represents the proportion of people with an IQ greater than 134. If we have the population size, we can multiply this proportion by the total number of people to get the approximate number of individuals with an IQ higher than 134 in the country.