By Lucretiu Stoica
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Statistical Models for Engineering, John Wiley and Sons, New York. Reprinted in 1994 as a Wiley Classic in the engineering series. Recommended as a reference book for understanding the basics of statistical applications in engineering. Hand, D. , F. Daly, A. D. Lunn, K. J. McConway, and E. Ostrowski (1994). A Handbook of Small Data Sets, Chapman and Hall, London. Diverse data sets. Hines, W. , and D. C. Montgomery (1990). , John Wiley and Sons, New York. Comprehensive book of 700 pages, 300 examples, and 626 problems.
A practical example of the harmonic mean is the determination of the mean velocity of a stream based on measurements of travel times over a given reach of the stream using a floating device. 19 m/s. 16)] The geometric mean is used in averaging values that represent a rate of change. Here the variable follows an exponential, that is, a logarithmic law. For a sample of observations, x1 , x2 , . . , xn , the geometric mean is the positive nth root of the product of the n values. This is the same as the antilog of the mean of the logarithms: x¯ g = (x1 x2 .
46 N/mm2 if the zero value is excluded). 21. Concrete test. By using Eq. 02 N/mm2 , respectively. 8) This is usually expressed as a percentage. The coefficient of variation is useful in comparing different data sets with respect to central location and dispersion. 22. Comparison of timber and concrete strength data. 0% without the value of zero). 24%, respectively. The higher variation in the timber strength data is a reflection of the variability of the natural material, whereas the low variation in the density of the concrete is evidence of a uniform quality in the constituents and a high standard of workmanship, including care taken in mixing.
