Question

the difference between mean and mode is k times difference between median and mean find k

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{difference}\mathrm{between}\mathrm{median}\mathrm{and}\mathrm{mean}\mathrm{is}\mathrm{x}. \\ \mathrm{Then},\mathrm{Difference}\mathrm{between}\mathrm{mode}\mathrm{and}\mathrm{mean}\mathrm{is}\mathrm{kx}. \\ \mathrm{We}\mathrm{know}, \\ \mathrm{mode}=3\mathrm{median}-2\mathrm{mean} \\ \mathrm{mode}-\mathrm{mean}=3\mathrm{median}-3\mathrm{mean} \\ \mathrm{kx}=3\left(\mathrm{median}-\mathrm{mean}\right) \\ \mathrm{kx}=3\mathrm{x} \\ \mathrm{So},\mathrm{k}=3.\mathrm{ANS}... \end{gathered}$$