Answer
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Step 1:: The 2SD formula is used to calculate the interval that contains a specified proportion of data in a normal distribution.
where $\mu$ is the population mean and $\sigma$ is the population standard deviation.
In this case, we want to find the interval containing 95% of the data, which is equivalent to two standard deviations (2SD) from the mean. The formula for the 2SD interval is as follows:
Step 2:: In the context of a normal distribution, 95% of the data falls within two standard deviations of the mean.
This means that the interval calculated using the 2SD formula will contain 95% of the data points.
Step 3:: It is important to note that the 2SD formula assumes that the data is normally distributed and that the population mean and standard deviation are known.
If these conditions are not met, the 2SD interval may not contain the desired proportion of data.
Final Answer
2SD \ interval = [\mu - 2\sigma, \mu + 2\sigma] where $\mu$ is the population mean and $\sigma$ is the population standard deviation.
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