ecall that Chebyshev's Theorem states that for any set of data and for any constant k greater than 1, the roportion of the data that must lie within k standard deviations on either side of the mean is at least 1- herefore, for sample data with mean x and standard deviation s, at least 1- of data must fall between ks and x+ ks. When k 2, we have the following. 1. or Therefore, for any set of data, at least 75% of the data must fall between x- 2s and x + ( or, in other words, within standard deviations of the mean.
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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