6. A population has a mean of u = 80 and a standard deviation of o = 20. a. Would a score of X= 70 be considered an extreme value (out in the tail) in this sample? Why? %3D b. If the standard deviation were o = 5, would a score of X = 70 be considered an extreme value? Why? %3D 18. Calculate SS, variance, and standard deviation for the following sample of n= 4. Scores: 7, 4, 2, 1 Use the computational formula (for SS) with all appropriate notation for all calculations. %3D
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.
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Given,
Mean==80
Standard deviation==20
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