![]() ![]() 5) A raw score that is the same as the mean has a z value of 0.4) A raw score that is one SD above the mean has a z score of +1 and a raw score that is one SD below the mean has a z score of -1.3) All raw score that fall below the mean have some z value that is negative all raw scores that fall above the mean has positive z scores.2) A z-score distribution always has a mean of 0 and a standard deviation of 1.1) A z-score distribution is obtained by transforming every raw score to a z score.56 standard deviations above (+) the mean For a population distribution with µ = 4.80 and σ = 2.14, what is the z score of a raw score of 6? Z=X-µ σ Z = 6 – 4.8 = +.56 2.14 The raw score of 6 has a standard score z = +.56 Which means that the score 6 is.Where X = the raw score to be transformed X = the mean of the sample s = the sample SD µ = the mean of the population σ = the population SD How to convert a raw score to a z score? Population Standard Normal Distribution Frequency / Probability / Percentage The standard normal distribution has a mean of 0 and a SD of 1. What z score will be assigned to a score of 16? (Ans: z = -1)Ī z score is also called a standard unit or standard score When all the raw scores of a normal distribution have been transformed to z scores, the resulting distribution is called standard normal distribution.As such the score 24 would be a 1z score above the mean (z = +1) Suppose a normal distribution has a mean of 20 and a standard deviation (SD) of 4, the score 24 is one SD above the mean.A z score is a measure of how many standard deviations a raw score is from the mean of the distribution. ![]() Mean Median Mod 50% of the scores are found on each side of the mean 68.26% of the scores are found between 1 standard deviation from the mean Normal Distribution Frequency / Probability / Percentage
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