  Using the KEDR detector at the VEPP-4M $e^+e^-$ collider, we have measured
the values of $R_{\text{uds}}$ and $R$ at seven points of the center-of-mass
energy between 3.12 and 3.72 GeV. The total achieved accuracy is about or
better than $3.3\%$ at most of energy points with a systematic uncertainty of
about $2.1\%$. At the moment it is the most accurate measurement of $R(s)$ in
this energy range.
