Standard Deviation for continuous uniform distribution formula (be able to calculate given values)
The standard deviation for a continuous uniform distribution can be calculated using the following formula:
Standard Deviation = (b – a) / √12
where:
a = lower bound of the distribution
b = upper bound of the distribution
To calculate the standard deviation, you need to know the values of a and b
The standard deviation for a continuous uniform distribution can be calculated using the following formula:
Standard Deviation = (b – a) / √12
where:
a = lower bound of the distribution
b = upper bound of the distribution
To calculate the standard deviation, you need to know the values of a and b.
Let’s consider an example:
Suppose we have a continuous uniform distribution with a lower bound (a) of 3 and an upper bound (b) of 9.
To calculate the standard deviation, we can use the formula:
Standard Deviation = (b – a) / √12
Plugging in the values, we have:
Standard Deviation = (9 – 3) / √12
= 6 / √12
≈ 1.732
Therefore, the standard deviation for this continuous uniform distribution is approximately 1.732.
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