In: Statistics and Probability
Which normal distribution has a wider spread: the one with mean 4 and standard deviation 9 or the one with mean 9 and standard deviation 4?
The standard deviation explains spread of the distribution.
That is bigger the standard deviation the wider spread of the distribution.
Therefore, distribution with mean = 4 and standard deviation = 9 has wider spread
than the distribution mean = 9 and standard deviation = 4.