In a standard normal distribution, the range of values of z is from
In a standard normal distribution, the range of values of z extends from negative infinity to positive infinity
In a standard normal distribution, the range of values of z extends from negative infinity to positive infinity. The standard normal distribution, also known as the Z distribution, is a specific type of normal distribution with a mean of 0 and a standard deviation of 1. The variable z represents the number of standard deviations an observation or data point is from the mean.
In this distribution, the z-scores or values of z are used to standardize the data and allow for comparison and analysis across different normal distributions. A z-score denotes the number of standard deviations a particular value is away from the mean of the distribution.
For example, if a data point has a z-score of 1, it is one standard deviation above the mean. If a data point has a z-score of -2, it is two standard deviations below the mean.
The standard normal distribution is often used in statistics and probability theory to calculate probabilities and quantify the likelihood of different events occurring. The range of values of z extending from negative infinity to positive infinity allows for comprehensive analysis and evaluation of the data within this distribution.
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