Question

If your score on your next statistics test is converted to a z​ score, which of these z scores would you​ prefer: minus−​2.00, minus−​1.00, ​0, 1.00,​ 2.00? why?
a. the z score of minus−2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores.
b. the z score of 1.00 is most preferable because it is 1.00 standard deviation above the mean and would correspond to an above average test score.
c. the z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores.
d. the z score of minus−1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average test score.
e. the z score of 0 is most preferable because it corresponds to a test score equal to the mean.

Answer 1

The answer is z score of 2.00 is most desirable because it is 2.00 standard deviations beyond the mean and would agree to the highest of the five diverse likely test scores. In addition, the number of standard deviations that a given value x is above or below the mean is the z score or as called as standardized value. The negative z score agrees to an x value less than the mean while a positive z score agrees to an x value larger than the mean. The more negative the z score the more the x value is under the mean and the further positive the z score the more the x value is below the mean.