91Ó°ÊÓ

We need to fill up blanks.

A standardized variable for normal variable X is

$Z=(x-\mathrm{μ})/\mathrm{σ}$

will be normal with mean =$0$ and sigma = $1$

Hence the answers would be: A standardized variable always has a mean of localid="1650969241601" $\underline{0}$and a standard deviation of localid="1650969235618" $\underline{1}$.

We need to fill in blanks.

In statistics, $Z$-score is a numerical measurement of a value's relationship to the mean (average) of a collection of values, expressed in standard deviations from the mean.

$Z=(x-\mathrm{μ})/\mathrm{σ}$

Hence answer would be, The localid="1651207203447" $Z$-score corresponding to an observed value of a variable tells you standard normal score

We need to fill in blanks.

We know formula of $Z$-score is $Z=(x-\mathrm{μ})/\mathrm{σ}$

Hence answer is

A positive $Z$-score indicates that the observation is to right of the mean, whereas a negative $Z$-score indicates that the observation is to the left of the mean