Z-Scores and Z-Score Table Flashcard

Front

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 is expressed as the number of standard deviations away from the mean.

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How do you calculate a Z-Score?

Back

Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

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What does a Z-Score of 0 indicate?

Back

A Z-Score of 0 indicates that the data point is exactly at the mean.

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What does a positive Z-Score indicate?

Back

A positive Z-Score indicates that the data point is above the mean.

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What does a negative Z-Score indicate?

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A negative Z-Score indicates that the data point is below the mean.

Front

What is the purpose of a Z-Score table?

Back

A Z-Score table provides the probability of a score occurring below a specific Z-Score in a standard normal distribution.

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CCSS.HSS.ID.A.4

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How do you convert a percentile to a Z-Score?

Back

To convert a percentile to a Z-Score, find the corresponding Z-Score in the Z-Score table that matches the percentile.

Tags

CCSS.HSS.ID.A.4

Front

What is the mean and standard deviation of a normal distribution?

Back

The mean is the average of all data points, and the standard deviation measures the dispersion of the data points from the mean.

Front

What is the empirical rule in statistics?

Back

The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two, and 99.7% within three.

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CCSS.HSS.ID.A.4

Front

How do you find the raw score from a Z-Score?

Back

To find the raw score, use the formula: X = μ + (Z * σ), where Z is the Z-Score.

Tags

CCSS.HSS.ID.A.4