Z-Scores (Leaving Cert Mathematics): Quizzes

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Z-Scores
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11 questions from this quiz

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What does a z-score measure?

How many standard deviations a point is from mean

What is the formula for calculating a z-score?

z=x−μσz = \frac{x - \mu}{\sigma}

In the z-score formula, what does μ\mu represent?

The mean of the data set

In the z-score formula, what does σ\sigma represent?

The standard deviation

What does a positive z-score indicate?

The data point is above the mean

What does a negative z-score indicate?

The data point is below the mean

What does a z-score of 00 indicate?

The data point is exactly at the mean

Data points with z-scores beyond what value are often considered outliers?

±3\pm 3

What are the mean and standard deviation of a standard normal distribution created by z-scores?

Mean 00, standard deviation 11

Heights have mean 170170 cm, standard deviation 1010 cm. What is the z-score for 185185 cm?

1.51.5

Alice's z-score is 11, Bob's is 0.50.5. Who performed better relative to their test?

Alice

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