The dot plot below shows the sizes for five classes with a mean of 44 and standard deviation of 8. The dynamic equation shows the mathematical conversion to z-scores in real time.

Drag the vertical line to see the corresponding z-score for each possible class size.

\large z = {x_i - \bar x \over s } = {{36 - 44 \over 8} = -1.00 }z=?s??x?i????x?????=?8??36?44??=?1.00

32424654-1.50-0.250.251.25x = 36z = -1.00xzmean x = 44mean z = 0

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