1-sigma error from data

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I have several thousand datapoints that follow a normal distribution (not zero centered and values ranging roughly from -500 to 500).
How can I get the interval from mean-1-sigma to mean+1-sigma?

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Chunru
Chunru 2022-7-21
x = 500*randn(10000, 1) + 200; % some data
mx = mean(x);
sx = std(x);
plot(x, 'o'); hold on; grid on;
yline(mx+[-1 0 1]*sx, 'r');

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