Question

The arithmetic mean and mode of a data is 24 and 12 respectively then the median of the data is

• A. $25$
• B. $18$
• C. $20$
• D. $22$

Answer 1

Answer: (C)

$20$

Given: Mean = $24$ and Mode = $12$
Since, Mode = 3 Median - 2 Mean
$\Rightarrow 12=3$ Median - $2\times 24$
$\Rightarrow 12=3$ Median - $48$
$\Rightarrow 3$ Median = $60$
$\Rightarrow$ Median = $20$
$\therefore$ Option C is correct.