Question

If the sum of mode and mean of a certain data is $129$ and its median is $63$, what is its mode?

• A. $69$
• B. $63$
• C. $60$
• D. $65$

Answer 1

The correct option is A $69$

Given that sum of the mode and mean is $129$

Therefore, mode+mean=$129$

mean=$129$-mode ----(1)

Given median=$63$

We know that mode=3median-2mean

mode=3(63)-2mean

mode=$189-2(129$-mode) (from (1))

$⟹$ mode=$189-258+2$mode

$⟹$ mode=$69$