Question
Find \( z \) when \( x=80, m=70 \), and \( s=5 \) using the formula \( z=\frac{x-m}{s} \) (statistics formula for finding the \( z \)-score). \( z=\square \) (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.)
Ask by Schmidt May. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( z = 2 \)
Solution
To find the \( z \)-score using the formula:
\[
z = \frac{x - m}{s}
\]
Given:
- \( x = 80 \)
- \( m = 70 \)
- \( s = 5 \)
Plugging in the values:
\[
z = \frac{80 - 70}{5} = \frac{10}{5} = 2
\]
So,
\[
z = 2
\]
**Answer:**
\( z = 2 \)
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Simplify this solution Beyond the Answer
To find \( z \), we can plug the given values into the formula: \[ z = \frac{x - m}{s} \] Substituting the values: \[ z = \frac{80 - 70}{5} = \frac{10}{5} = 2 \] Thus, \( z = 2.00 \).
