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Unformatted text preview: 134 Standard Deviation The Gaussian is asymptotic to the axis (infinitely wide). We need a method to specify the relative widths of the curves. The standard deviation, s x or , is a measure of the width of the curves. The horizontal line shows the standard deviation (from the center to where the line crosses the curve.) We can represent the curve by a shaded box. It is darkest in the middle where most measurements occur, and fades out to zero as we go away from the center. Approximately 2/3 of the measurements lie within 1 standard deviation of the center. If we go two standard deviations out, 95% of the measurements are accounted for. 0 1 2 3 4 5 6 Comparing numbers. Suppose we have four measurements: A (3.8 0.5) cm, B (5.1 0.5) cm, C (3.8 0.2) cm, D (5.1 0.3) cm. These are shown in the diagram to the right. If we dont have the standard deviations we can only say that the measurements are close....
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This note was uploaded on 11/26/2011 for the course PHY 2053 taught by Professor Lind during the Fall '09 term at FSU.
- Fall '09