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Z Score For Normal Distribution. The formula to convert a sample mean X to a z -score is. 4 comments 23 votes. Table Values Represent AREA to the LEFT of the Z score. Values above the mean have positive z-scores while values below the mean have negative z-scores.
To calculate a z-score for normally distributed data normal distributions we use the. -175 220 165 -095 Calculate z-scores for the following raw scores taken from a population with a mean of 100 and standard deviation of 16. Values above the mean have positive z-scores while values below the mean have negative z-scores. Z Score -1639 Here is the next Z Score we looked up in our Normal Distribution Tables. A standard normal distribution SND. For example if the distribution of raw scores if normally distributed so is the distribution of z-scores.
It is possible to transform every normal random variable X into a z score using the following formula.
Transform the following z-scores into a distribution with a mean of 10 and standard deviation of 2. The standard normal distributions mean is always 0. Z 00 01 02 03 04 05 06 07 08 09 00 50000 50399 50798. The standard normal distribution is a normal distribution with a standard deviation on 1 and a mean of 0. A standard normal distribution SND. The use of Z is because the normal distribution is also known as the Z distribution.