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# A student scores 60 on a mathematics test that has a mean of 54 and a standard deviation of 3 , and she scores 80 on a history test with a mean of 75 and a standard deviation of 2. On which test did she perform better?

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Recall that the $z$-score, or standard score, of a value in a sample can be computed using the formula

$z =\frac{X-\bar{X}}{s} \; ;$

where $z$ is the standard score, $X$ is the value, $\bar{X}$ is the mean and $s$ is the standard deviation.

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