Distribution of sample mean

Hi. I want to get a distribution of sample mean. But I just can get sample mean itself, not the distribution.

e.g.

a = rand(5,1)
abar = mean(a)

You know, in that case, abar shows just one number.

How do I get a distribution of it?

[Walter Roberson]

What output would you be looking for? The mean and standard deviaton? The string 'uniform' since it is a uniform distribution?

Answer 1

[Image Analyst]

Try this:

clc;    % Clear the command window.
close all;  % Close all figures (except those of imtool.)
clear;  % Erase all existing variables. Or clearvars if you want.
workspace;  % Make sure the workspace panel is showing.
format long g;
format compact;
fontSize = 20;

numberOfExperiments = 100000;
for k = 1 : numberOfExperiments
  % Get 5 random numbers.
  a = rand(5,1);
  % Save the mean for this experiment.
  abar(k) = mean(a);
end
% All done, so get a distribution of the means
histogram(abar);
grid on
title('Distribution of means', 'FontSize', fontSize);
xlabel('Mean Value', 'FontSize', fontSize);
ylabel('Count', 'FontSize', fontSize);

% Set up figure properties:
% Enlarge figure to full screen.
set(gcf, 'Units', 'Normalized', 'OuterPosition', [0 0 1 1]);
% Get rid of tool bar and pulldown menus that are along top of figure.
set(gcf, 'Toolbar', 'none', 'Menu', 'none');
% Give a name to the title bar.
set(gcf, 'Name', 'Demo by ImageAnalyst', 'NumberTitle', 'Off')