Question

if the median of the series exceeds the mean by 3 find by what number the mode exceeds its mean

Answer 1

Hey

Here is your 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

Hope it helps you!

Answer 2

mode = mean+9

it is given that meadian = mean +3

by the formula, mode= 3 meadian -2mean

put first equation in place of meadian

mode = 3 ( mean+3) -2 mean

= 3 mean +9 -2 mean

therefore mode =mean +9