Question

If the sum of the mode and mean of the certain frequency distribution in $129$ and the median of the observations is $63$, mode and mean are respectively

• A. $69$ and $60$
• B. $65$ and $64$
• C. $68$ and $61$
• D. none of these

Answer 1

The correct option is A $69$ and $60$

Given, Mode$+$ Mean $=$ 129 .....(1)
and Median $=63$,
Also we know, Mode $=$ 3. Median $-$ 2. Mean
$\Rightarrow$ Mode$=3\times 63-2.$ Mean $=189-2.$Mean ..(2)
Solving (1) and (2) we get, Mean$=60$ and Mode $=69$.