Here is a sample data set that appears to be nearly normal (as suggested by the histogram). 25.8 28.6 33.5 40.3 32.2| 46.8 33.7 32.7 37.3 25.3 22.7 30.4 16.8 42.8 42.4 18.4 46.4 30.2 42.4 25.8 29.2 36.2 20.2 34.2 21.4 11.4 29.8 32.4 21 29.6 33.7 34 19.7 27.8 40.7 37.7 26.3 22.4 26.9 28 | 38.3 38.6 31 33.5 23.5 36.2 27.3 29 16 33.3 33.5 33.3 16.8 28.6 23.5 11.9 34.4 28.6 23.5 26.5 26.7 33.7 27.8 31.2|| 25.1 ||32.9 || 39.8 38 35.1| 41.8
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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