Select all of the true statements about the standard deviation of a quantitative variable. Standard deviation is never negative. O Standard deviation is resistive to unusual values. The standard deviation of a set of values is equal to 0 if and only if all of the values are the same. O Standard deviation represents how far a group of values are from the mean of those values, on average. O If a set of values has a mean of 0 and a standard deviation that is not 0, then adding a new data point with a value of 0 will have no cffect on the standard deviation. O Changing the units of a set of values (e.g., converting from inches to feet) does not affect its standard deviation.
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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