The mean and the median of a certain data are 13.3 and 13.5 respectively. Find the mode.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 13.9
For a moderately skewed distribution, the mean, median and mode are linked by the empirical relation Mode = 3 Median − 2 Mean.
Three times the median: \(3\times13.5=40.5\)
Twice the mean: \(2\times13.3=26.6\)
Mode: \(40.5-26.6=13.9\)
Tip: The relation is easiest to recall as Mean − Mode = 3 (Mean − Median): here \(13.3-\text{Mode}=3\times(-0.2)=-0.6\), so the mode is 13.9.