For a set of data, the mean is 23 and the median is 43. Using the empirical relation between mean, median and mode, what is the mode?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 83
The empirical relation between the three averages is Mode \(=3\times\) Median \(-\;2\times\) Mean.
Mean \(=23\), Median \(=43\)
Mode \(=3\times43-2\times23\)
\(=129-46=83\)
The mode is 83.