Interpreting z-scores

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What is a z-score?

Back

A z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. It indicates how many standard deviations an element is from the mean.

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How is a z-score calculated?

Back

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What does a positive z-score indicate?

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A positive z-score indicates that the value is above the mean of the dataset.

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What does a negative z-score indicate?

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A negative z-score indicates that the value is below the mean of the dataset.

Front

If a data set has a mean of 50 and a standard deviation of 10, what is the z-score for a value of 60?

Back

Front

What is the purpose of z-scores in statistics?

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Z-scores are used to describe the exact location of a score within a distribution, allowing for comparison between different datasets.

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True or False: Z-scores can be used to compare scores from different distributions.

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True. Z-scores standardize scores, making it possible to compare them across different distributions.

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Calculate the z-score for a value of 30 in a dataset with a mean of 25 and a standard deviation of 5.

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What is the z-score for a value that is exactly at the mean?

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The z-score for a value at the mean is 0.

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If a z-score is 2, what does this imply about the value?

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A z-score of 2 implies that the value is 2 standard deviations above the mean.