Question

The arithmetic mean and mode of a data are $24$ and $12$ respectively, Then the median of the data is

• A. $20$
• B. $18$
• C. $21$
• D. $22$

Answer 1

The correct option is A $20$

Given:

Mean$=24$ and Mode$=12$

Apply the relation between mean, median and mode.

Mode $=3$ Median$-$ $2$ Mean

Put the respective values.

$12=3$ Median$-2\times 24$

$3$ Median $=60$

Median $=20$