File:Deviation from Mean of a Random Distribution.jpg

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Summary

Description
English: See below for Matlab code.

% Generate some random data x = 1:25; y = 20*rand(1,25)+10;

% Calculate the mean and standard deviation of y y_mean = mean (y); y_std = std (y);

% Plot y versus x with a line plot(x,y,'b', 'LineWidth', 2); hold on

% Plot the mean of y as a dashed line plot plot(x,y_mean*ones(size(x)), 'k--'); % plot(x,median(y)*ones(size(x)),'r--')

% Plot the error bars for y using one standard deviation % errorbar(x,y,y_std*ones (size (y)), 'b', 'LineStyle', 'none');

% Plot the shaded area for y using one standard deviation y_upper = y_mean + y_std; y_lower = y_mean - y_std; x_fill = [x, fliplr(x)]; y_fill = [y_upper, fliplr(y_lower)]; fill([min(x_fill), max(x_fill), max(x_fill), min(x_fill)],[y_fill(2), y_fill(2), y_fill(1), y_fill(1)], 'r', 'FaceAlpha', 0.2, 'EdgeColor', 'none'); % fill (x_fill, y_fill, 'b', 'FaceAlpha', 0.2, 'EdgeColor', 'none');

% Add some labels and legends xlabel ('Data Observation'); ylabel ('Y'); grid on; title('Deviation from Mean in Random Distribution') legend ('Data', 'Mean', 'Standard Deviation', 'Location', 'best');

ylim([10 40]); hold off
Date
Source Own work
Author Grw66

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Captions

A random distribution plotted along with mean and standard deviation.

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19 November 2023

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Date/TimeThumbnailDimensionsUserComment
current22:21, 19 November 2023Thumbnail for version as of 22:21, 19 November 2023560 × 420 (39 KB)Grw66Uploaded own work with UploadWizard
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