Question

In a normal distribution, x = 5 and z = –1.25. This tells you that x = 5 is ____ standard deviations to the ____ (right or left) of the mean.

Short answer

In a normal distribution,$x=5$androle="math" localid="1648273503773" $z=-1.25$. This tells you that$x=5$is$1.25$standard deviations to the left of the mean.

Step-by-step solution

Given Information 

Given in the question that, in a normal distribution, x = 5 and z = –1.25.

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 the value of $x=5$and $z=-1.25$.