Question

the equation shown is used in statistics to relate ( z ), the ( z )-score of a data element, to ( x ), the value of the data element, ( m ), the mean of the data set, and ( d ), the standard deviation of the data.

( z=\frac{x - m}{d} )

solve the formula for ( m ), the mean of the data set.

enter your answer in the box

( m=square )

Explanation:

Step1: Multiply both sides by \(d\)

$$ z\times d=\frac{x - m}{d}\times d $$

$$ zd=x - m $$

Step2: Isolate \(m\)

Add \(m\) to both sides:

$$ zd+m=x - m+m $$

$$ zd+m=x $$

Subtract \(zd\) from both sides:

$$ m=x - zd $$

Answer:

\(m=x - zd\)