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What are some examples of z-scores?

An example of an AI chatbot conversation about z-scores and their applications.

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You

What are some examples of z-scores?

MagicBuddy
MagicBuddy

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.

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You

Can you give me another example?

MagicBuddy
MagicBuddy

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.

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You

How do z-scores help in statistics?

MagicBuddy
MagicBuddy

Z-scores help in comparing scores from different distributions and identifying outliers. They standardize scores to a common scale.

😀
You

What is a good z-score for a test result?

MagicBuddy
MagicBuddy

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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