Meascore repestion us distance theada vd ses flom the mean in terms of the number of standard deviations. Population z-Score - z = Sample z-Score 2=l x-x Consider a test on which the mean is * =68 and the standard deviation is 5 = 8. A test score * = 76 is 8 points above the mean. (76-68 = 8) Since one standard deviation is 8, this grade is 1 standard deviation above the mean (2=8=1) x_ 76-68 8 ==1 8 The z-score that corresponds to a test score * = 76 is 1, and this means the test score x = 76 is 1 standard deviation above the mean. a) Now, consider a test score * = 48. Find the z-score and explain what it means