The mean (or expected value) of a uniform distribution can be calculated using the formula:

\[
\mu = \frac{a + b}{2}
\]

where:
- \(a\) is the lower bound of the distribution,
- \(b\) is the upper bound of the distribution.

Given that \(a = 0\) and \(b = 50\):

\[
\mu = \frac{0 + 50}{2} = \frac{50}{2} = 25
\]

### Final Answer
The mean of the uniform distribution from 0 to 50 is \(25\).

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Would you like more details or have any questions? Here are five related questions you might find interesting:

1. What is the variance of this uniform distribution?
2. How would the mean change if the distribution was from 10 to 60 instead?
3. What does the mean tell us about the distribution?
4. How is the mean of a uniform distribution related to its median?
5. Can you calculate the standard deviation of this distribution?

**Tip:** The mean of a uniform distribution is always at the midpoint of the interval \([a, b]\).

Explore how to calculate the mean of a uniform distribution from 0 to 50 using the formula mu = (a + b) / 2. This problem covers key probability concepts and calculations, ideal for advanced high school students.

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