Compute ∑?,∑?2, ∑?, ???∑?2. (b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for both x and y. (c) Compute a 75% Chebyshev interval around the mean for values and also for y values. Use the intervals to compare the magnetic susceptibility of the two grids. (d) Interpretation: Compute the coefficient of variation for each fund. Use the coefficient of variation to compare the two grids. Why is a large CV be better, or at least exciting?

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#18. Archaeology: Ireland The Hill of Tara in Ireland is a place of great archaeological importance. This region has been occupied by people for more than 5000 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 begain a statistical study. The following data measure magnetic susceptibility (centimeter-gram-second ) on two of the main grids of the Hill of Tara.?10―6

Grid E: x variable 13.20 5.60 19.80 15.05 21.4017.25 27.45 16.95 23.90 32.40 40.75 5.10 17.75 28.35

Grid H: y variable 11.85 15.25 21.30 17.30 27.50 10.35 14.90 48.70 25.40 25.95 57.60 34.35 38.80 41.00 31.25

(a) Compute ∑?,∑?2, ∑?, ???∑?2.

(b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for both x and y.

(c) Compute a 75% Chebyshev interval around the mean for values and also for y values. Use the intervals to compare the magnetic susceptibility of the two grids.

(d) Interpretation: Compute the coefficient of variation for each fund. Use the coefficient of variation to compare the two grids. Why is a large CV be better, or at least exciting?

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