Measurement of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>B</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mrow><mml:mo>ℓ</mml:mo></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mo>ℓ</mml:mo></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>Branching Fraction and Search for Direct<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>Violation from a Sum of Exclusive Final States

We measure the total branching fraction of the flavor-changing neutral-current process $B\ensuremath{\rightarrow}{X}_{s}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$, along with partial branching fractions in bins of dilepton and hadronic system (${X}_{s}$) mass, using a sample of $471\ifmmode\times\else\texttimes\fi{}1{0}^{6}$ $\mathrm{\ensuremath{\Upsilon}}(4S)\ensuremath{\rightarrow}B\overline{B}$ events recorded with the BABAR detector. The admixture of charged and neutral $B$ mesons produced at PEP-II2 are reconstructed by combining a dilepton pair with 10 different ${X}_{s}$ final states. Extrapolating from a sum over these exclusive modes, we measure a lepton-flavor-averaged inclusive branching fraction $\mathcal{B}(B\ensuremath{\rightarrow}{X}_{s}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}})=[6.7{3}_{\ensuremath{-}0.64}^{+0.70}(\text{stat}{)}_{\ensuremath{-}0.25}^{+0.34}(\text{exp syst})\ifmmode\pm\else\textpm\fi{}0.50(\text{model syst})]\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}6}$ for ${m}_{{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}}^{2}&gt;0.1\text{ }\text{ }{\mathrm{GeV}}^{2}/{c}^{4}$. Restricting our analysis exclusively to final states from which a decaying $B$ meson's flavor can be inferred, we additionally report measurements of the direct $CP$ asymmetry ${A}_{CP}$ in bins of dilepton mass; over the full dilepton mass range, we find ${A}_{CP}=0.04\ifmmode\pm\else\textpm\fi{}0.11\ifmmode\pm\else\textpm\fi{}0.01$ for a lepton-flavor-averaged sample.