Question Help Is a measure of 25 inches​ "far away" from a mean of 19 ​inches? As someone with knowledge of​ statistics, you answer​ "it depends" and request the standard deviation of the underlying data.​(a) Suppose the data come from a sample whose standard deviation is 2 inches. How many standard deviations is 25 inches from 19 ​inches?​(b) Is 25 inches far away from a mean of 19 ​inches?​(c) Suppose the standard deviation of the underlying data is 4 inches. Is 25 inches far away from a mean of 19 ​inches?

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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.