Question

What Is The Difference Of Median And Mean If The Difference Of Mode And Median Is 50

Answer 1

Answer:

Difference Of Median And Mean is 25

Step-by-step explanation:

3 Median = Mode + 2 Mean       ................EQUATION 1

Difference Of Mode And Median Is 50

So Mode - Median  = 50       .......equation 2

from equation 1

mode = 3 median - 2 mean    

applying this in eq.2

3 median - 2 mean - median = 50

so 2 median - 2 mean = 50

so 2 ( median - mean ) = 50

so median - mean = 50/2

= 25

Answer 2

Step-by-step explanation:

■QUESTION■

if difference of mode and median is 50,

what is the difference of median and mean

■ANSWER■

let,

median=A

mode=B

mean=C

here,

A-B =50

C-A=?

we know,

3×median = mode + 2× mean

=> 3A = B + 2C

=> 2A + A = B + 2C

=> 2A + A-B = 2C

=> 2A + 50 = 2C

=> 2C - 2A = 50

=> 2(C - A) = 50

=> C - A = 25

so the difference between median and mean is 25