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? Between 85 and 115 Between 70 and 130 Between 55 and 145 Less than 85 or more than 115 Above 100
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? Between 85 and 115 Between 70 and 130 Between 55 and 145 Less than 85 or more than 115 Above 100
Solution
According to the standard deviation rule, approximately 68% of people fall 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 of IQ scores that many (68%) people have, we can calculate the values that are one standard deviation below and above the mean.
One standard deviation below the mean is calculated by subtracting 15 from 100, which gives us 85.
One standard deviation above the mean is calculated by adding 15 to 100, which gives us 115.
Therefore, the range of IQ scores that many (68%) people have is between 85 and 115.
Similar Questions
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.
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.
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
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:
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)
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