A population has a mean of 50 and a standard deviation of 20. Would a score of X= 70 be considered an extreme value in this population? If the standard deviation were 5, would a score of X= 70 be considered an extreme value?
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.
A population has a mean of 50 and a standard deviation of 20. Would a score of X= 70 be considered an extreme value in this population?
If the standard deviation were 5, would a score of X= 70 be considered an extreme value?
If the score X is greater than Q3 + 1.5 (IQR) or lower than Q1 - 1.5 (IQR) then score X is said to be extreme value.
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