reading a table for standard normal distribution z scores

There can be two types of z score tables - positive and negative.

A z score table is a mathematical table that is used to display the percentage of values that fall below a particular z score.

If the probability P(z ≥ 0.57) needs to be determined, this is given as follows: This value is 0.71566 which is the required answer.

Now find the intersection of the row of the first two digits and the column of the second decimal value in the z score table.This value is 0.07 and it is the 8 th entry in the first row.

Next, take the second digit after the decimal and map it in the first row.Here, 0.5 is taken and it is the 6 th entry in the first column. Take the first two digits of the z score and find them in the first column of the z table.As the z score in the example is positive, the positive z table is used. The steps to use the z score table are as follows: Suppose a z score is given as P(z ≤ 0.57) and the area to the left of this value needs to be determined. Thus, it is necessary to choose the correct z table in order to accurately map the z score. This implies that the raw score is either to the left of the mean or to the right respectively. between negative infinity and Z).The value of the z score can either be negative or positive. This table gives a probability that a statistic is less than Z (i.e. Note that for z = 1, 2, 3, one obtains (after multiplying by 2 to account for the interval) the results f ( z) = 0.6827, 0.9545, 0.9974, If X is a random variable from a normal distribution with mean μ and standard deviation σ, its Z-score may be calculated from X by subtracting μ and dividing by the standard deviation: The standard normal distribution, represented by Z, is the normal distribution having a mean of 0 and a standard deviation of 1. Normal distributions are symmetrical, bell-shaped distributions that are useful in describing real-world data. Since probability tables cannot be printed for every normal distribution, as there are an infinite variety of normal distributions, it is common practice to convert a normal to a standard normal (known as a z-score) and then use the standard normal table to find probabilities.

It is used to find the probability that a statistic is observed below, above, or between values on the standard normal distribution, and by extension, any normal distribution. In statistics, a standard normal table, also called the unit normal table or Z table, is a mathematical table for the values of Φ, the cumulative distribution function of the normal distribution. Table of probabilities related to the normal distribution

Reading a table for standard normal distribution z scores