Statistics Examples

The z-score converts a non-standard distribution to a standard distribution in order to find the probability of an event.

The z-score converts a non-standard distribution to a standard distribution in order to find the probability of an event.

Find the value in a look up table of the probability of a z-score of less than ${\displaystyle 0.0796902}$.

${\displaystyle z=-0.20103092}$ has an area under the curve ${\displaystyle 0.0796902}$

Find the value in a look up table of the probability of a z-score of less than ${\displaystyle 0.05333842}$.

${\displaystyle z=0.13402061}$ has an area under the curve ${\displaystyle 0.05333842}$

To find the area between the two z-scores, subtract the smaller z-score value from the larger one. For any negative z-score, change the sign of the result to negative.