The Hill of Tara in Ireland is a place of great archaeological importance. This

Question

The Hill of Tara in Ireland is a place of great archaeological importance. This region has been occupied by people for more than 4,000 years. Geomagnetic surveys detect subsurface anomalies in the earth's magnetic field. These surveys have led to many significant archaeological discoveries. After collecting data, the next step is to begin a statistical study. The following data measure magnetic susceptibility (centimeter-gram-second * 10^-6) on two of the main grids of the Hill of Tara Compute sigma x, sigma x^2, sigma y, sigma y^2. Use the results of part (a) to compute the sample mean, variance, and standard deviation for x and for y. Compute a 75% Chebyshev interval around the mean for x values and also for y values. Use the intervals to compare the magnetic susceptibility on the two grids. Higher numbers indicate higher magnetic susceptibiity. However, extreme values, high or low, could mean an anomaly and possiible archaeological treasure. Grid H shows a wider 25% range of values. Grid E shows a wider 75% range of values. Grid E shows a wider 25% range of values. Grid H shows wider 75% range of values. Compute the sample coefficient of variation for each grid.

Explanation / Answer

d) Coefficint of variation

CV=sd(x)/mean(x) *100

CV=53.95%

CV for Y =49.63%

X Y XY X^2 Y^2 21.57 56.06 1209.214 465.2649 3142.724 10.81 29.27 316.4087 116.8561 856.7329 8.96 38.67 346.4832 80.2816 1495.369 27.09 13.76 372.7584 733.8681 189.3376 24.13 20.34 490.8042 582.2569 413.7156 36.19 53.24 1926.756 1309.716 2834.498 10.81 25.98 280.8438 116.8561 674.9604 10.44 12.35 128.934 108.9936 152.5225 6.37 42.43 270.2791 40.5769 1800.305 24.5 44.31 1085.595 600.25 1963.376 16.73 39.61 662.6753 279.8929 1568.952 7.48 14.23 106.4404 55.9504 202.4929 28.94 17.05 493.427 837.5236 290.7025 35.6 18.93 673.908 1267.36 358.3449 sum 269.62 426.23 8364.527 6595.647 15944.03 means 19.25857 30.445 597.4662 471.1177 1138.859 variance 107.9347 228.2662 251709.3 192214.4 1016963 standard 10.38916 15.10848 501.7064 438.4226 1008.446

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