What are some examples of z-scores?
Z-scores measure how many standard deviations an element is from the mean. For example, if a student's test score is 85, the mean is 75, and the standard deviation is 5, the z-score would be (85-75)/5 = 2.
Can you give me another example?
Sure! If a basketball player's free throw percentage is 80%, the mean percentage for the league is 75% with a standard deviation of 10%. The z-score would be (80-75)/10 = 0.5.
How do z-scores help in statistics?
Z-scores help in comparing scores from different distributions and identifying outliers. They standardize scores to a common scale.
What is a good z-score for a test result?
Generally, a z-score above 2 or below -2 is considered significant, indicating that the score is far from the mean.
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