Question 7 of 29
If a normal distribution has a mean of 104 and a standard deviation of 4 , what is the $z$-score for a value of 110 ?
A. 0.5
B. 2
C. 1
D. 1.5

Answer

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Answer

$\boxed{z = 1.5}$

Steps

Step 1 ：Given a normal distribution with mean $\mu = 104$ and standard deviation $\sigma = 4$, we want to find the z-score for a value of $x = 110$.

Step 2 ：Use the z-score formula: $z = \frac{x - \mu}{\sigma}$

Step 3 ：Plug in the values: $z = \frac{110 - 104}{4}$

Step 4 ：Calculate the z-score: $z = \frac{6}{4} = 1.5$

Step 5 ：$\boxed{z = 1.5}$