Asshme that adults have IQ scores that are normally distributed with a mean of 103.1 and a standard deviation 15.6. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%.(Draw a graph) The first quartile is______(round one decimal as needed) 2)Assume that adults have IQ scores that are normally distributed with a mean of 99.2 and a standard deviation of 21.9. Find the probability that a randomly selected adult has an IQ greater than 136.3.(Draw a graph) The probability that a randomly selected adult from this group has an IQ greater than 136.3 is_____(Round to 4 decimal places as needed)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
1) Asshme that adults have IQ scores that are
The first quartile is______(round one decimal as needed)
2)Assume that adults have IQ scores that are normally distributed with a mean of 99.2 and a standard deviation of 21.9. Find the probability that a randomly selected adult has an IQ greater than 136.3.(Draw a graph)
The probability that a randomly selected adult from this group has an IQ greater than 136.3 is_____(Round to 4 decimal places as needed)
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