The mean of a data set is 40 and the median is 35. Find the mode using the empirical relation.
25
The empirical relation between mean, median and mode is \(\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}\).
Substitute Mean = 40 and Median = 35: \(\text{Mode} = 3 \times 35 - 2 \times 40\).
\(= 105 - 80 = 25\).
Hence, the mode of the data set is 25.
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