It is used to find the area between z = 0 and any positive value, and reference the area to the right-hand side of the standard deviation curve. Although there are a number of types of z-tables, the right-tail z-table is commonly what is meant when a z-table is referenced. A standardized normal distribution has a mean of zero and a standard deviation of 1. Z-tableДЄ z-table, also known as a standard normal table or unit normal table, is a table that consists of standardized values that are used to determine the probability that a given statistic is below, above, or between the standard normal distribution. The z-score has numerous applications and can be used to perform a z-test, calculate prediction intervals, process control applications, comparison of scores on different scales, and more. Where x is the raw score, Ој is the population mean, and Пѓ is the population standard deviation. The z-score can be calculated by subtracting the population mean from the raw score, or data point in question (a test score, height, age, etc.), then dividing the difference by the population standard deviation: z = When the normal probability distribution is assumed, the standard normal probability tables can be used to determine these boundaries. Values above the mean have positive z-scores, while values below the mean have negative z-scores. The z-score, also referred to as standard score, z-value, and normal score, among other things, is a dimensionless quantity that is used to indicate the signed, fractional, number of standard deviations by which an event is above the mean value being measured. Use this calculator to find the probability (area P in the diagram) between two z-scores. For Z3.50, Z 3.50, the probability is less than or equal to 0.0002. For additional details about working with the normal distribution and the normal probability table, see Section 4.1. To find the area to the right, calculate 1 minus the area to the left. This is the equivalent of referencing a z-table. The normal probability table always lists percentiles. The area to the RIGHT of a z-score 1 the area to the LEFT of the z-score. Note that the probabilities given in this table represent the area to the LEFT of the z-score. Please provide any one value to convert between z-score and probability. The following table presents the standard normal distribution. Table of Standard Normal Probabilities for Negative Z-scores. Use this calculator to compute the z-score of a normal distribution. Home / math / z-score calculator Z-score Calculator

Normal distribution table