Suppose that a normal distribution has a mean of 11 and a standard deviation of 4. What percentage of data differs from the mean by more than one standard deviation?

Answer 1

1-68 = 32% differ from the mean by more than one standard deviation using the empirical rule

That's the same percentage regardless of what the mean or standard deviation are.

But given mean = 11 and SD = 4, that means 32% of the data are less than 7 or more than 15

x < 7 or x> 15, 32% of the time

7 < x < 15 68% of the time