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Answers for “连续均匀分布的均值公式是什么?”

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The mean of a continuous uniform distribution on the interval [a, b] is calculated using the formula μ=a+b2\mu = \frac{a + b}{2}. It represents the exact midpoint of the interval endpoints.

Conditions: The distribution is continuous and uniform on the interval [a, b].; a is the lower bound and b is the upper bound.

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The standard deviation of a continuous uniform distribution on the interval [a, b] is calculated using the formula σ=b−a12\sigma = \frac{b - a}{\sqrt{12}}. It is derived by dividing the width of the interval by the square root of 12.

Conditions: The distribution is continuous and uniform on the interval [a, b].; b is the upper bound and a is the lower bound.