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Question

If your score on your next statistics test is converted to a z score, which is these z score would you prefer. -2.00, -1.00, 0, 1.00, 2.00? Why

Answer 1

Hi Brandy! I would prefer that my next statistics test converted to a z-score would be 2.00. Based on the range of z-scores for the normal distribution, a z-score of 2.00 indicates that my test score is 2.00 standard deviations above the mean test score for all tests taken (the mean score has a z-score of 0). Looking at the Empirical Rule, approximately 95% of all students had test scores with z-scores between -2.00 and 2.00, therefore only 5% of the students scored below -2.00 and above 2.00. Dividing this percentage in half, I can determine that only 2.5% of all scores were higher than mine, so I scored very high on the test! Yay!!! :)