A sample of 12 measurements has a mean of 40 and a standard deviation of 2.25. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 40 each. A. Find the mean of the sample of 14 measurements. Mean = B. Find the standard deviation of the sample of 14 measurements. Standard Deviation =

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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.