The actual value of the standard deviation can be zero or a positive number, why value can never be a negative number?
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 actual value of the standard deviation can be zero or a positive number, why value can never be a negative number?
Measures of Dispersion: The word dispersion is used to denote the degree of heterogeneity in the data. It is an important characteristic indicating the extent to which observations vary among themselves. The dispersion of a given set of observations will be zero, only when all of them are equal. The wider the discrepancy from one observation to another, the larger will be the dispersion.
A measure of dispersion is designed to state numerically the extent to which individual observations vary on the average. There are several measures of dispersion like range, quartile deviation, mean deviation, standard deviation or variance, coefficient of variation etc.
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