How much does a data set's mode exceed the median if the mode exceeds its mean by 9?
6
8
9
10
option (A) 6
It is given that the mode of a data exceeds its mean by 9.
We know that by the empirical relationship formula of distribution,
............(1)
Let’s assume that the median of a data is M, the mode is m, and its mean is z.
According to the question, we have,
.......(2)
Now, using equation (2) in equation (1), we get,
So, mode exceeds median by 6.
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