About 68% of scores fall within one z score of the mean. About 96% of scores fall within two z scores of the mean. Nearly all scores fall within three z scores of the mean. Raw scores, z scores, and percentages all mean the same thing. We can determine the percentage associated with a given z statistic by: Step 01: convert a raw score into a z-score. Step 02: look up a given z-score on the z-table to find the percentage of scores between the mean and that z score. The z table and distributions of means. Remember that the z-statistic for means is the same as the regular z-score except with the mean and standard deviation of the means, not the scores. These same procedures outlined above can be conducted on a sample mean instead of on a score.