Statistics Examples

$μ = 7$ , $σ = 1.69$ , $x < 7.23$

The z-score for a value $x$ of a random variable is the number of standard deviations that $x$ falls from the mean $µ$ .

$z-score = number of standard deviations from the mean$

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

$\frac{x - μ}{σ}$

Find the z-score.

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Fill in the known values.

$\frac{7.23 - (7)}{1.69}$

Simplify the expression.

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Simplify the numerator.

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Multiply $- 1$ by $7$ .

$\frac{7.23 - 7}{1.69}$

Subtract $7$ from $7.23$ .

$\frac{0.23}{1.69}$

Divide $0.23$ by $1.69$ .

$0.13609467$

Since $0.13609467 > 0.13609467$ , there are no solutions.

No solution

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