LAB - overall skewness. If there is an obvious peak, the...

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Josephine Do Chris Behn Physics Lab /56930 09-08-11 Physics Lab Report 1 1] By use of a calculator, the values for mean and standard deviation are the following respectively: 195.9 and 54.5 . Audio Frequency Table Audio Interval Tally Frequency 100-120 III 3 121-140 IIIII II 7 141-160 IIIII IIIII II 12 161-180 IIIII IIIII IIIII IIIII 20 181-200 IIIII IIIII IIII 14 201-220 IIIII IIIII I 11 221-240 IIIII IIIII I 11 241-260 IIIII III 8 261-280 IIIII I 6 281-300 II 2 301-320 II 2 321-340 II 2 341-360 I 1 361-380 0 381-400 0 401-420 I 1 2]
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e) I approximate that about 72% of the measurements fall between x bar + s and x bar - s, and about 94% that fall between two standard deviations of the mean or x bar + 2s and x bar – 2s. The mean is a measure of the center of the distribution, also known as a weighted average with relative frequencies as the weight factors. To approximate, one would find the balance point in the histogram splitting the graph in two equal sections mass distribution-wise, taking in consideration of the
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Unformatted text preview: overall skewness. If there is an obvious peak, the probability of the mean lying in that limited range is great. Depending on how spread out the values is, the first standard deviations could be estimated by x bar +/- s from the mean. If the range was narrow rather than large, the standard deviation would be minimal since greater precision could implied with such close numerical values. The same stands true vice versa. Measured Value Deviation Square of Deviation 229 33.09 1094.95 171-24.91 620.51 215 19.09 364.43 159-36.91 1362.35 158-37.91 1437.17 225 29.09 846.23 143-52.91 2799.47 160-35.91 1289.53 165-30.91 955.43 191-4.91 24.11 184-11.91 141.85 184-11.91 141.85 168-27.91 778.97 159-36.91 1362.35 357 161.09 25949.99 208 12.09 146.17 178-17.91 320.77 293 97.09 9426.47 175-20.91 437.23 318 122.09 14905.97 64405.76 Mean= 195.91 Standard Deviation = 58.22 5]...
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This note was uploaded on 04/04/2012 for the course ECO 304K taught by Professor Hickenbottom during the Spring '10 term at University of Texas.

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LAB - overall skewness. If there is an obvious peak, the...

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