A statistical analysis of the INTERBALL/Tail Probe observations of the plasma sheet in the Earth's magnetosphere during 1995-1998 allowed a series of results to be obtained, which describe the physical processes occurring during magnetically quiet time on different spatio-temporal scales: (1) the asymmetry of a global plasma-sheet position as a function of the B-y component of the interplanetary magnetic field and the velocity field in the plasma sheet; (2) the localization of the medium-scale bursty bulk flows (BBF); (3) certain estimates of the plasma turbulence parameters: and (4) distinctions between the fast fluctuations of the V-y and V-z components of ion velocity. A comparison of the results with those of the previous ISEE-2, AMPTE/IRM, and GEOTAIL observations allows certain objectives to be planned for studying the plasma sheet within the INTERBALL project.