Question

The mean of the data is 2.27 more than the median of the data. What is the relationship between mode and median of the data?

Answer 1

Dear Student,
We know that Mode = 3 median - 2 mean
$$\begin{gathered} \mathrm{Also}\mathrm{mean}=2.27+\mathrm{median} \\ \mathrm{So}\mathrm{mode}=3\mathrm{median}-2\times \left(2.27+\mathrm{median}\right) \\ \mathrm{mode}=3\mathrm{median}-4.54-2\mathrm{median} \\ \mathrm{So},\mathrm{mode}=\mathrm{median}-4.54 \\ \mathrm{Regards} \end{gathered}$$