The following are X values from a distribution that has a mean of 25 and a standard deviation of 3. Calculate Z-scores for the following X scores: X score Z-Score 21 18 28 25.25 20.5
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.
The following are X values from a distribution that has a mean of 25 and a standard deviation of 3. Calculate Z-scores for the following X scores:
|
X score |
Z-Score |
|
21 |
|
|
18 |
|
|
28 |
|
|
25.25 |
|
|
20.5 |
|
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