Effect of normal parameters on distribution
Distributions from the normal family have different locations and spreads, but other aspects of their shape are the same. Indeed, if the scales on the horizontal and vertical axes are suitably chosen,...
All normal distributions have the same shape
The diagram below repeats an earlier diagram which showed the range of possible shapes for normal distributions.
The next diagram is similar, but the axes are rescaled when the parameters are adjusted.
Note that the basic 'shape' of the curve is the same for all parameter values.