The standard score is simply the score a student will receive from taking a standardized test. The student will receive the standard score they received for taking the test and will only receive their individual score. The standard distribution is found when all of the scores for the standardized test are graphed on a histogram to obtain the mean, median, mode. Z-scores are different from the standard scores because they are the scores taken when standards test scores are calculated to determine a percentile or to determine student averages. The standard score relates to normal distribution because it enables the calculation of the probability of a score within the normal distribution and allows for comparison of two scores that are from different normal distributions (Laerde Sttisics, 2013). Normal distributions are the expected range of scores by students taking the IQ test. The Z-score calculates the probability of a score occurring within a normal distribution.
Laerde Statistics. (2013). Standard Score. Retrieved October 27, 2014 from https://statistics.laerd.com/statistical-guides/standard-score.php