Categories &

Functions List

Function Reference: normpdf

statistics: y = normpdf (x)
statistics: y = normpdf (x, mu)
statistics: y = normpdf (x, mu, sigma)

Normal probability density function (PDF).

For each element of x, compute the probability density function (PDF) of the normal distribution with mean mu and standard deviation sigma. The size of y is the common size of p, mu and sigma. A scalar input functions as a constant matrix of the same size as the other inputs.

Default values are mu = 0, sigma = 1.

Further information about the normal distribution can be found at https://en.wikipedia.org/wiki/Normal_distribution

Input arguments must be double or single; integer, logical, and character arrays are rejected. MATLAB accepts a character array and evaluates it at the character codes, which Octave deliberately does not, since a character array is an integer type and integers are refused too.

See also: normcdf, norminv, normrnd, normfit, normlike, normstat

Source Code: normpdf

Plot various PDFs from the normal distribution

 x = -5:0.01:5;
 y1 = normpdf (x, 0, 0.5);
 y2 = normpdf (x, 0, 1);
 y3 = normpdf (x, 0, 2);
 y4 = normpdf (x, -2, 0.8);
 plot (x, y1, '-b', x, y2, '-g', x, y3, '-r', x, y4, '-c')
 grid on
 xlim ([-5, 5])
 ylim ([0, 0.9])
 legend ({'μ = 0, σ = 0.5', 'μ = 0, σ = 1', ...
          'μ = 0, σ = 2', 'μ = -2, σ = 0.8'}, 'location', 'northeast')
 title ('Normal PDF')
 xlabel ('values in x')
 ylabel ('density')
plotted figure