For a set of data, the mean is 11 and the median is 27. Using the empirical relation between mean, median and mode, what is the mode?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 59
The empirical relation between the three averages is Mode \(=3\times\) Median \(-\;2\times\) Mean.
Mean \(=11\), Median \(=27\)
Mode \(=3\times27-2\times11\)
\(=81-22=59\)
The mode is 59.