We discuss a Johnson-Cousins V- and I-band CCD mosaic survey of the Ur
sa Minor dwarf spheroidal galaxy (dSph) to V similar to 22. We covered
UMi with 27 10'.5 x 10'.5 overlapping CCD frames, each frame consisti
ng of two 300 s exposures in each of V and I. We also observed several
regions similar to 3 degrees from UMi to obtain an estimate of contam
ination by galaxies and Galactic stars. We report the first H-R diagra
m of an entire dSph. Separation of dwarf stars from foreground stars b
y color allows a robust estimation of the structural parameters of UMi
. We examine earlier evidence of two lumps in the UMi stellar distribu
tion. We detect a statistically significant asymmetry in the stellar d
istribution of UMi along the major axis. Structure in the stellar dist
ribution of UMi might indicate a tidal origin for UMi's high observed
mass-to-light ratio. We demonstrate a technique for obtaining the abso
lute magnitude of UMi from horizontal-branch star counts compared with
M92; this method of luminosity estimation is independent of the dista
nce to UMi. We obtain M-V = -8.87 +/- sigma(Mv), where sigma(Mv) = 0.1
4 if M92 is a perfect calibrator and sigma(Mv) less than or similar to
0.35 is an upper bound on the error arising from differences in stell
ar populations. Our value for M-v is consistent with earlier measureme
nts and has a smaller uncertainty.