M4 Unit 7 Review

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What is a Z-score?

Back

A Z-score indicates how many standard deviations an element is from the mean. It is calculated using the formula: Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

How do you calculate a Z-score?

Back

To calculate a Z-score, use the formula: Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What does a Z-score of +2.26 indicate?

Back

A Z-score of +2.26 indicates that the value is 2.26 standard deviations above the mean.

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What is the mean in a normal distribution?

Back

The mean is the average of all data points in a distribution and is the center point of a normal distribution.

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What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation means that the values tend to be close to the mean.

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What is a normal distribution?

Back

A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

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What percentage of data falls within one standard deviation of the mean in a normal distribution?

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Approximately 68% of the data falls within one standard deviation of the mean in a normal distribution.

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What is a probability distribution?

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A probability distribution is a function that describes the likelihood of obtaining the possible values that a random variable can take.

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What does it mean if a distribution is not a probability distribution?

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If a distribution is not a probability distribution, it means that the total probability of all outcomes does not equal 1 or that it does not meet the criteria for a valid distribution.

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How do you interpret a Z-score of +1.09?

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A Z-score of +1.09 indicates that the value is 1.09 standard deviations above the mean.