Academic Subjects
Math
Algebra
Algebraic Equations
Mean - Median Of 7 Consecutive Numbers Adding Up To 147

Seven consecutive whole numbers add up to 147.
What is the result when their mean is subtracted from their median



Let's start by setting up our equation
with seven consecutive numbers
and then solve for x

x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6) = 147

7x + 21 = 147

      7x = 147 - 21
7x = 126
   x =
126 / 7
 

 x = 18

so the numbers we were looking for are

18 + (18 + 1) + (18 + 2) + (18 + 3) + (18 + 4) + (18 + 5) + (18 + 6)

18, 19, 20, 21, 22, 23, 24

the median, i.e. the middle number is 21

the mean =  
147 / 7
  = 21

median - mean

21 - 21 = 0

The answer to this question is zero