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---
id: Z-score
aliases:
- Z-score - An example
tags: []
---
### Z-score - An example
- John gets a mark of 64 in a physics test, where the mean is 50 and the
standard deviation is 8.
- Jane gets a mark of 74 in a chemistry test, where the mean is 58 and the
standard deviation is 10
Who has a better class performance?
- John's z = (64 - 50) / 8 = 1.75
- Jane's z = (74 - 58) / 10 = 1.6
- Although Jane's score is higher, John's score is further above the mean, and
it might be concluded that John has achieved greater success.
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