randRange( 65, 85 ) randRange( 2, 5 ) + randRange( 0, 1 ) * 0.5 randRangeWeighted( roundTo( 0, MEAN - STDDEV * 3 ), min( roundTo( 0, MEAN + STDDEV * 3 ), 100 ), MEAN, 0 ) roundTo( 2, ( GRADE - MEAN ) / STDDEV ) localeToFixed(ZSCORE, 2)
The grades on a course( 1 ) midterm at school( 1 ) are normally distributed with `\mu = MEAN` and `\sigma = localeToFixed(STDDEV, 1)`.
person( 1 ) scored `GRADE` on the exam.

Find the z-score for person( 1 )'s exam grade. Round to two decimal places.

(GRADE - MEAN) /STDDEV

A z-score is defined as the number of standard deviations a specific point is away from the mean.

`\large{\quad z \quad = \quad \dfrac{GRADE - \pink{MEAN}}{\green{localeToFixed(STDDEV, 1)}}}`

`\large{\quad z \quad \approx \quad SOLUTION}`

The z-score is `localeToFixed(ZSCORE, 2)`. In other words, person(1)'s score was `SOLUTION` standard deviation above the mean. In other words, person(1)'s score was `SOLUTION` standard deviation below the mean. In other words, person(1)'s score was `SOLUTION` standard deviations above the mean. In other words, person(1)'s score was `SOLUTION` standard deviations below the mean.