Choose the correct formula for computing a standard score below. The standard score for a particular data value is given by A. $$ z=\frac{ ext { data value - mean }}{ ext { standard deviation }} $$. The standard score for a particular data value is given by B. $$ z=\frac{ ext { data value }}{ ext { standard deviation }} $$. The standard score for a particular data value is given by C. $$ z=\frac{ ext { standard deviation }}{ ext { mean - data value }} $$. The standard score for a particular data value is given by D. $$ z=\frac{ ext { standard deviation }}{ ext { data value }} $$.

Question

Choose the correct formula for computing a standard score below. The standard score for a particular data value is given by A. $$ z=\frac{	ext { data value - mean }}{	ext { standard deviation }} $$. The standard score for a particular data value is given by B. $$ z=\frac{	ext { data value }}{	ext { standard deviation }} $$. The standard score for a particular data value is given by C. $$ z=\frac{	ext { standard deviation }}{	ext { mean - data value }} $$. The standard score for a particular data value is given by D. $$ z=\frac{	ext { standard deviation }}{	ext { data value }} $$.

UpStudy AI · Accepted Answer

The correct formula for computing a **standard score (z-score)** is:

$$
z = \frac{\text{data value} - \text{mean}}{\text{standard deviation}}
$$

This formula calculates how many standard deviations a particular data value is from the mean of the dataset.

**Correct Answer:**

**A.** $$ z=\frac{\text{data value - mean}}{\text{standard deviation}} $$.
The correct formula for a standard score is $$ z = \frac{\text{data value} - \text{mean}}{\text{standard deviation}} $$.

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