382,392 views
44 votes
44 votes
A normal distribution has a mean of 60 and a standard deviation of 2. Determine the z-score for the data value of 22.

User Shpigford
by
2.6k points

1 Answer

9 votes
9 votes

Solution

The formula for the z-score is given as:


\begin{gathered} Z=(X-\mu)/(\sigma) \\ where, \\ \mu\text{ is the Mean} \\ \sigma\text{ is the Standard Deviation} \\ X\text{ is the value whose z-score we want to calculate} \end{gathered}

- Thus, we can find the z-score as follows:


\begin{gathered} X=22, \\ \\ Z=(22-60)/(2) \\ \\ Z=-19 \end{gathered}

User Kwill
by
2.9k points