For a set of sample data, the mean is 27 and the median is 34. 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) → 48
The empirical relation between the three averages is Mode \(=3\times\) Median \(-\;2\times\) Mean.
Mean \(=27\), Median \(=34\)
Mode \(=3\times34-2\times27\)
\(=102-54=48\)
The mode is 48.