Statistics Examples

μ = 16

$μ = 16$ ,

σ = 0.5

$σ = 0.5$ ,

x = 14.5

$x = 14.5$

Step 1

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

\frac{x - μ}{σ}

$\frac{x - μ}{σ}$

Step 2

Find the z-score.

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Step 2.1

Fill in the known values.

\frac{14.5 - (16)}{0.5}

$\frac{14.5 - (16)}{0.5}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Simplify the numerator.

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Step 2.2.1.1

Multiply

- 1

$- 1$ by

16

$16$ .

\frac{14.5 - 16}{0.5}

$\frac{14.5 - 16}{0.5}$

Step 2.2.1.2

Subtract

16

$16$ from

14.5

$14.5$ .

\frac{- 1.5}{0.5}

$\frac{- 1.5}{0.5}$

\frac{- 1.5}{0.5}

$\frac{- 1.5}{0.5}$

Step 2.2.2

Divide

- 1.5

$- 1.5$ by

0.5

$0.5$ .

- 3

$- 3$

- 3

$- 3$

- 3

$- 3$

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