Z-Scores (Leaving Cert Mathematics): Quizzes

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Z-Scores
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What does a ZZ-score measure?

How many standard deviations a value is from the mean

In the formula Z=X−μσZ = \frac{X - \mu}{\sigma}, what does XX represent?

The data value

In the formula Z=X−μσZ = \frac{X - \mu}{\sigma}, what does μ\mu represent?

The mean of the dataset

In the formula Z=X−μσZ = \frac{X - \mu}{\sigma}, what does σ\sigma represent?

The standard deviation

What does a ZZ-score of 0 indicate?

The data point equals the mean

What does a positive ZZ-score indicate?

A value above the mean

What does a negative ZZ-score indicate?

A value below the mean

Which ZZ-scores typically indicate outliers?

Less than -3 or greater than 3

If mean = 75, standard deviation = 10, and XX = 85, what is the ZZ-score?

1

What is one key application of ZZ-scores?

Comparing data from different distributions

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Empirical Rule

Standard Deviation

Normal Distributions/Z-Scores

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Empirical Rule

Standard Deviation

Normal Distributions/Z-Scores

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Empirical Rule

Standard Deviation

Normal Distributions/Z-Scores

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Empirical Rule

Standard Deviation

Normal Distributions/Z-Scores

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