For a set of sample data, the mean is 33 and the median is 48. 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) → 78
The empirical relation between the three averages is Mode \(=3\times\) Median \(-\;2\times\) Mean.
Mean \(=33\), Median \(=48\)
Mode \(=3\times48-2\times33\)
\(=144-66=78\)
The mode is 78.