how to find z score using standard normal distribution table

In many situations, it is useful to have a way to describe the location of an individual score within its distribution.

Moving forward, we now turn our attention to how scores within a distribution are related to one another, how to precisely describe a score’s location within the distribution, and how to compare scores from different distributions. These simple tools, and the principles behind them, will help you interpret information presented to you and understand the basics of a variable. Likewise, N(2.09) = 0.9817.We now understand how to describe and present our data visually and numerically. From the table below, you can see that N(0.46) = 0.6772. Where the row and column intersect is the value for 0.46.

For instance, to find the N(Z) value for Z = 0.46, first locate the row of 0.4. Each column further refines the Z-score to the hundredths digit. First you find the values of N(2.09) and N(0.46) from the table, then you subtract the two values to obtain the probability.Įach row of the Z-score table shows the Z-scores up to the tenths digit. How to Read a Z-Score TableFor the sake of example, suppose Z is a normally distributed random variable and you want to compute P(0.46 < Z < 2.09). Once you have a set of scaled or standardized data, you can use a Z-Score table or normal distribution probability calculator to compute the probability that the random variable Z is between two values. Here X is the unscaled data value, μ is the population mean, σ is the population standard deviation, and Z is the corresponding scaled value. If you have a set of normally distributed data with a different mean and standard distribution, you can transform it into standard form with the scaling equation (X-μ)/σ = Z. Z-score tables are based on a normal distribution that has a mean of 0 and a standard deviation of 1. Many variable traits in nature are distributed normally, for instance, human height, shoe size, and scores on certain kinds of intelligence tests. In statistics, the Gaussian or Normal Distribution is one of the most frequently encountered probability density functions. How to Read a Z-Score Table to Compute Probability

How to find z score using standard normal distribution table