Question

Find the mode if mean and median are 4 & 5 respectively?

Answer 1

Given that ,

$\star$Mean = 4

$\star$Median = 5

We know that ,

$\large \red{ \fbox{ \fbox{ \sf \: 3 (Median) = Mode + 2 (Mean) \: \: }}}$

$\sf \implies 3(5) = Mode + 2(4) \\ \\ \sf \implies 15 = Mode + 8 \\ \\ \sf \implies Mode = 15 - 8 \\ \\ \sf \implies Mode = 7$

Hence , the required value of mode is 7