Z scores using standard normal table1/27/2024 ![]() ![]() ![]() Īlternatively, online normal distribution calculators like this one give you the option to specify which probability you need calculated based on a specific mean and standard deviations. This needs to be taken into account when calculating probabilities. Note that since the normal distribution is symmetric (i.e., the left side, below the mean, is exactly the same as the right side, above the mean), such tables usually only list probabilities between the mean and the z-score and above the z-score. You can find the z-values’ probabilities listed in a Normal Distribution Table, e.g., this one. Now that we know the normal curve has a bell shape reflecting probabilities (the higher the curve at any point, the bigger the probability), any point on the horizontal axis can be seen as a z-value associated with a specific probability - or rather, the probability below and the probability above the z-value. Recall from Section 5.1.2 (here: ) that any value/score can be converted into a z-value, which tells us how far the value is from the mean in terms of standard deviations. Chapter 5 The Normal Distribution and Some Basics of Probability ![]()
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