Using Z-Scores to Compare Data (HSC SSCE Mathematics Standard): Flashcards

📚Flashcards
Using Z-Scores to Compare Data
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What z-scores measure

How many standard deviations a value is from the mean

Z-score formula

z=xxˉsz = \frac{x - \bar{x}}{s}

xx in z-score formula

The individual data value

xˉ\bar{x} in z-score formula

The mean of the dataset

ss in z-score formula

The standard deviation of the dataset

Meaning of positive z-score

Value is above average

Meaning of negative z-score

Value is below average

What larger absolute z-score indicates

Value is further from the mean

Best z-score for race times (lower time is better)

More negative z-score

Best z-score for exam scores (higher mark is better)

Higher z-score

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