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 cross product 10-6) on two of the main grids of the Hill of Tara (Reference: Tara: An Archaeological Survey by Conor Newman, Royal Irish Academy, Dublin).
Grid E: x variable
7.85 8.59 13.77 33.01 33.75 31.16 29.68
7.85 30.05 11.55 33.38 33.75 18.58 19.32
Grid H: y variable
24.10 30.21 55.12 52.30 56.06 29.74 21.75
42.43 37.26 33.97 38.20 17.05 48.07 18.46
(a) Compute Σx, Σx2, Σy, Σy2. (Enter your answers to 2 decimal places.)
(b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x and for y. (Enter your answers to 2 decimal places.)
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