The red distribution has a standard deviation of \(10\); the blue distribution has a standard deviation of \(5\). Note that about two thirds of the area of the distributions is within one standard dev...The red distribution has a standard deviation of \(10\); the blue distribution has a standard deviation of \(5\). Note that about two thirds of the area of the distributions is within one standard deviation of the mean. For the red distribution, this is between \(40\) and \(60\); for the blue distribution, this is between \(45\) and \(55\). You can change the means and standard deviations of the distributions and see the results visually.
