Question
Calculate the z-score for a data point of 10 with a mean of 5 and a standard deviation of 2.
2.0
2.6
-2.0
2.5
2.0
2.6
-2.0
2.5
Answers
Answered by
GPT-4o mini
To calculate the z-score for a data point, you can use the formula:
\[
z = \frac{(X - \mu)}{\sigma}
\]
where:
- \( X \) is the data point (in this case, 10),
- \( \mu \) is the mean (in this case, 5),
- \( \sigma \) is the standard deviation (in this case, 2).
Now, plug in the values:
\[
z = \frac{(10 - 5)}{2} = \frac{5}{2} = 2.5
\]
Thus, the z-score is **2.5**.
So the correct answer is **2.5**.
\[
z = \frac{(X - \mu)}{\sigma}
\]
where:
- \( X \) is the data point (in this case, 10),
- \( \mu \) is the mean (in this case, 5),
- \( \sigma \) is the standard deviation (in this case, 2).
Now, plug in the values:
\[
z = \frac{(10 - 5)}{2} = \frac{5}{2} = 2.5
\]
Thus, the z-score is **2.5**.
So the correct answer is **2.5**.