If the mode of a data exceeds its mean by 12.6, then the mode exceeds the median by _____.
(Use empirical formula.)
Given:
Mode exceeds the Mean by 12.6
Concept Used:
Empirical Formula: Mode = 3 × Median – 2 × Mean
Solution:
Let Mean = M
Then, Mode = M + 12.6
Using the formula:
M + 12.6 = 3 × Median – 2M
=> 3 × Median = 3M + 12.6
=> Median = M + 4.2
So, Mode – Median = (M + 12.6) – (M + 4.2) = 8.4
Mode exceeds the Median by 8.4
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