text: ## The mean of twenty-five consecutive positive integers numbers is what percent of the total?
  
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  ### The mean of twenty-five consecutive positive integers numbers is what percent of the total?
  
  by BTGmoderatorLU » Thu Feb 24, 2022 10:33 am
  
  00:00
  
  A
  
  B
  
  C
  
  D
  
  E
  
  ## Global Stats
  
  Source: Magoosh
  
  The mean of twenty-five consecutive positive integers numbers is what percent of the total?
  
  A. 4%
  B. 5%
  C. 20%
  D. 25%
  E. Cannot be determined by the information provided.
  
  The OA is A
  
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  ### Re: The mean of twenty-five consecutive positive integers numbers is what percent of the total?
  
  by Brent@GMATPrepNow » Thu Feb 24, 2022 12:11 pm
  BTGmoderatorLU wrote:
  Thu Feb 24, 2022 10:33 am
  Source: Magoosh
  
  The mean of twenty-five consecutive positive integers numbers is what percent of the total?
  
  A. 4%
  B. 5%
  C. 20%
  D. 25%
  E. Cannot be determined by the information provided.
  
  The OA is A
  ----------ASIDE----------------------
  There's a nice rule that says, "In a set where the numbers are equally spaced, the mean will equal the median."
  For example, in each of the following sets, the mean and median are equal:
  {7, 9, 11, 13, 15}
  {-1, 4, 9, 14}
  {3, 4, 5, 6}
  ------------------
  For this question, let x = first value
  So, x+1 = second value
  x+2 = third value
  .
  .
  .
  x+24 = last value
  
  This means x+12 is the median AND the mode
  
  Since x+12 = the mean of the 25 numbers, we can conclude that (25)(x+12 ) = the SUM of the 25 numbers
  
  The mean of twenty-five consecutive positive integers numbers is what percent of the total?
  We must convert (x+12)/(25)(x+12) to a PERCENT
  (x+12)/(25)(x+12) = 1/25
  = 4/100
  = 4%
  Brent Hanneson - Creator of GMATPrepNow.com
  
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  ### Re: The mean of twenty-five consecutive positive integers numbers is what percent of the total?
  
  by regor60 » Fri Feb 25, 2022 3:56 pm
  Call the sum of the 25 integers S.
  
  So the mean of the integers is:
  
  S/25
  
  The mean is what percent of S ?
  
  (S/25)/S = 1/25 = 4/100 =[spoiler]4%,A[/spoiler]
  
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