Final answer:
Standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. Z-scores are used to compare scores from different data sets with different means and standard deviations.
Step-by-step explanation:
Standardized Tests and Z-scores
Standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. Let A represent the score on a randomly selected exam for subject A and let B represent the score on a randomly selected exam for subject B. The distributions of scores for each subject’s standardized tests are displayed in the table and the histograms.
A z-score indicates the number of standard deviations a score falls above or below the mean. It allows for comparison of scores from different data sets with different means and standard deviations. A z-score can be calculated using the formula z = (x - µ) / σ, where x is the score, µ is the mean, and σ is the standard deviation.