Calculate the mean of the data, and then calculate the deviations for each of the 6 scores. Using that information, calculate the variance and standard deviation of the data set, and then calculate a Z-Score for each of the 6 scores in the data set. 6, 10, 9, 13, 14, 11
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.
- Calculate the
mean of the data, and then calculate the deviations for each of the 6 scores. Using that information, calculate the variance and standard deviation of the data set, and then calculate a Z-Score for each of the 6 scores in the data set.
6, 10, 9, 13, 14, 11
1.
The mean of the data is,
Thus, the mean of the data is 10.5.
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