The standard score or a z-score of a standard normal distribution is the name given to the random variable of the distribution. The standard normal distribution is represented by the letter Z. Moreover, centred at zero, the standard normal distribution gives the degree to which a given measurement deviates from the mean. In other words, a standard normal distribution is said to occur when a distribution has a mean of 0 and a standard deviation of 1. It occurs when a normal random variable has a mean equal to zero and a standard deviation equal to one. The standard normal distribution is one of the forms of the normal distribution. What is the standard normal distribution and how is relevant in statistics? Let us find out. ![]() One of the forms of the normal distribution is the standard normal distribution. It is used to approximate other probability distributions as well. The Normal Distribution is defined by the probability density function for a continuous random variable in a system. The Normal Distribution, also called the Gaussian distribution, as we know is the most significant continuous probability distribution in statistics and probability. ![]() Interpreting the z-score using the standard normal distribution table.Standard Normal Distribution Table when Statistic is greater than Z.Standard Normal Distribution Table when Statistic is less than Z (i.e.How is Standard Normal Distribution Table formed?.
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