# Find z, given the following. (Give your answer correct to two decimal places.) x = 233, mu = 223, sigma = 12.2 z = ?

Question
Decimals
Find z, given the following. (Give your answer correct to two decimal places.)
$$x = 233,\ \mu = 223,\ \sigma = 12.2$$
$$z = ?$$

2020-12-26
Step 1
Solution
Given:
Raw score $$(X) = 233$$
Population mean $$(\mu) = 223$$
Population standard deviation $$(\sigma) = 12.2$$
Step 2
Formula: $$z=\ \frac{x\ -\ \mu}{\sigma}$$
Plug in all the given values in the formula, we get
$$z=\ \frac{233\ -\ 223}{12.2}$$
$$z = 0.819672131$$
Round to two decimals
$$\therefore\ z=0.82$$

### Relevant Questions

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