Question

select the correct choices that complete the sentences below.
a) a data value that has a negative z-score is dropdown the mean.
b) a data value that has a positive z-score is dropdown

dropdown options:
below
far from
close to
above

Explanation:

Analyze negative z-score

Using the Z-score Definition and Standard Score Interpretation knowledge points

$$ z = \frac{x - \mu}{\sigma} $$

$$ z < 0 \implies x - \mu < 0 \implies x < \mu $$

Analyze positive z-score

Using the Z-score Definition and Standard Score Interpretation knowledge points

$$ z = \frac{x - \mu}{\sigma} $$

$$ z > 0 \implies x - \mu > 0 \implies x > \mu $$

Answer:

Question 1

a) A data value that has a negative z-score is <blank>below</blank> the mean.

Question 2

b) A data value that has a positive z-score is <blank>above</blank> the mean.