Question

If the median of a series exceeds the mean by 3 , find by what number the mode exceeds its mean .

Answer 1

Answer:

3(median) = 2(mean) + mode

Let the mean be 'x'

So, median will be x + 3

Then, according to the question

3(x+3) = 2(x) + mode

3x + 9 = 2x + mode

3x - 2x + 9 - mode

x+9 = mode

Now, mode - mean

⇒ x+9 - x

= 9  

So, mode exceeds the mean by 9.  Answer