Z-Scores (HSC SSCE Mathematics Standard): Quizzes

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Z-Scores
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What does a z-score measure?

How far a score is from mean in SDs

When is a z-score negative?

When the score is below the mean

What is the formula for calculating a z-score?

z=x−xˉsz = \frac{x - \bar{x}}{s}

What does a z-score of 2 mean?

Score is 2 SDs above the mean

In the z-score formula, what does xx represent?

The individual score being examined

For a normally distributed dataset, z-scores always have which property?

Mean of 0 and SD of 1

Given mean = 62, SD = 11, score = 84. What is the z-score?

z=2z = 2

What does a larger absolute z-score indicate?

The score is further from the centre

If height mean = 160 cm, SD = 8 cm, what is the z-score for 172 cm?

z=1.5z = 1.5

What is the z-score for a score that equals the mean?

z=0z = 0

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