Question

In a normal distribution, x = –5 and z = –3.14. This tells you that x = –5 is ____ standard deviations to the ____ (right or left) of the mean.

Short answer

In a normal distribution,$x=–5$and $z=–3.14$. This tells you that $x=–5$is localid="1648799448201" $3.14$standard deviations to the left of the mean.

Step-by-step solution

Given Information

Given in the question that, $x=–5andz=–3.14$

We have to fill the blanks with correct answer.

Explanation 

A $z-$score means a numerical size that represents a value's association to the mean of a set of values.

By using the $z-$score it can be calculate that how many standard deviations, the value of $x$will lie below (left) or above (right) the mean of the distribution.

From the information given in the question, we observe that $x=–5andz=–3.14$.