Which of the following fitness scores is the highest relative score? a score of 38 on a test with a mean of 31 and a standard deviation of 5.8 a score of 1124 on a test with a mean of 1080 and a standard deviation of 67.7 a score of 4709 on a test with a mean of 3960 and a standard deviation of 557.1 All scores are relatively equal

Answer:Step-by-step explanation:To compare different scores with different means and std deviation, we convert each score into equivalent Z score.Then comparisons would be easier.Z = [tex]\frac{x-\mu }{\sigma}[/tex] is the conversion factora) a score of 38 on a test with a mean of 31 and a standard deviation of 5.8Z score = [tex]\frac{38-31}{5.8} \\=0.00638[/tex]b) a score of 1124 on a test with a mean of 1080 and a standard deviation of 67.7Z score = 0.65c) a score of 4709 on a test with a mean of 3960 and a standard deviation of 557.1 Z score = 1.34Hence we get highest relative score isa score of 4709 on a test with a mean of 3960 and a standard deviation of 557.1