Normal Distribution Tables

A Normal Distribution table is a collection of values which allow us to figure out the percentage of values below a given Z-Score.

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Example:

To read $P(Z<0.82)$:

1. Verify the direction of the table (usually less than), if it is different you must convert your Z-Score Probability to match:

2. Read along the $x$ column until you see the matching value, e.g $0.82$
3. Read the output $\varphi (x)$ column

$P(Z<0.82)=0.7939$