Z-Scores (Leaving Cert Mathematics): Flashcards

📚Flashcards
Z-Scores
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12 cards from this deck

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What is a z-score?

How many standard deviations a data point is from the mean

Z-score formula

z=x−μσz = \frac{x - \mu}{\sigma}

What does xx represent in the z-score formula?

The data point

What does μ\mu represent in the z-score formula?

The mean of the data set

What does σ\sigma represent in the z-score formula?

The standard deviation of the data set

Meaning of positive z-score

Data point is above the mean

Meaning of negative z-score

Data point is below the mean

Meaning of z-score = 0

Data point is exactly at the mean

Z-score threshold for outliers

Beyond ±3\pm 3

Mean of standardised z-score distribution

00

Std dev of standardised z-score distribution

11

What are z-scores used for?

Compare scores across distributions and standardise data

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