The distribution of the IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 15. According to the standard deviation rule, what range of IQ scores do many (68%) people have?
Question
The distribution of the IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 15. According to the standard deviation rule, what range of IQ scores do many (68%) people have?
Solution
To determine the range of IQ scores that many people have, we can use the standard deviation rule. According to this rule, for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean.
In this case, the mean IQ score is 100 and the standard deviation is 15. To find the range, we can calculate the upper and lower limits.
The upper limit can be found by adding one standard deviation (15) to the mean (100): Upper limit = 100 + 15 = 115
The lower limit can be found by subtracting one standard deviation (15) from the mean (100): Lower limit = 100 - 15 = 85
Therefore, the range of IQ scores that many people have is from 85 to 115.
Similar Questions
According to the normal distribution of IQ scores (with a mean of 100 and standard deviation of 15), what percentage of the test takers will get scores between 85 and 115? 16 32 34 68
Suppose that IQ scores in one region are normally distributed with a standard deviation of 16. Suppose also that exactly 52% of the individuals from this region have IQ scores of greater than 100 (and that 48% do not). What is the mean IQ score for this region? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
If someone has an IQ of 130, this means that they are Group of answer choicesOne standard deviation below the mean of people of the same age.Two standard deviations above the mean of people of the same age.Average for their age.Able to answer 130 questions on the IQ test.Borderline impaired.
IQ scores are normally distributed with mean 100 and standard deviation 15.1. (b) What proportion of the population would have IQ above 115? (express as a decimal, to 3 decimal places)
A psychologist is interested in the mean IQ score of a given group of children. It is known that the IQ scores of the group have a standard deviation of 16. The psychologist randomly selects 80 children from this group and finds that their mean IQ score is 110. Based on this sample, find a 90% confidence interval for the true mean IQ score for all children of this group. Then give its lower limit and upper limit.Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)Lower limit: Upper limit:
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