Statistics Examples

μ = 46

$μ = 46$ ,

σ = 2

$σ = 2$ ,

x = 47

$x = 47$

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{47 - (46)}{2}

$\frac{47 - (46)}{2}$

Step 2.2

Simplify the numerator.

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Step 2.2.1

Multiply

- 1

$- 1$ by

46

$46$ .

\frac{47 - 46}{2}

$\frac{47 - 46}{2}$

Step 2.2.2

Subtract

46

$46$ from

47

$47$ .

\frac{1}{2}

$\frac{1}{2}$

\frac{1}{2}

$\frac{1}{2}$

\frac{1}{2}

$\frac{1}{2}$

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