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The table above shows the distribution of the distance, rounded to the nearest integer, run by 20 athletes in a marathon. Which of the
following cannot be the approximate average (arithmetic mean) distance run (in kilometres) by the athletes in the marathon?
  • a)
    18
  • b)
    21
  • c)
    24
  • d)
    26
  • e)
    28
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
The table above shows the distribution of the distance, rounded to the...
Given:
  • Number of athletes = 20
  • Table showing range of distances, rounded to the nearest integers, run by the athletes
To Find: The option that cannot be the average distance run by the athl
Approach:
  1. We need to look for a value that is outside the range of the average distance run by the 20 athletes.
  2. We know that the average distance would lie between the minimum possible average distance ran by the athletes and maximum possible average distance ran by the athletes
    • So, for finding the range of the distances run, we need to find the maximum and minimum average distances run by the athletes.
    • Once we know the maximum and minimum distance run, we can find the range of average distance run by dividing by the number of athletes.
  3. Maximum Average Distance
    • The average distance ran by the athletes will be maximum when each athlete runs the maximum distance in a given range
      • For example: In the range 1- 10 kilometers, each athlete should run 10 kilometers
      • Maximum distance run = Sum of (maximum distance run in the range * number of athletes in the range)
      • Maximum Average distance run = 
Working out:
  1. Minimum distance run = (4*1) + (5*11) +(6*21) + (3*31) +(2*41) = 4 + 55 +126 +93 +82 = 360
    • Average of minimum distance run = 
  2. Maximum distance run = (4 * 10) + ( 5 *20) +(6*30) + (3*40) +(2*42) = 40 + 100 + 180 +120 + 84 = 524 kilometres
    • a. Average of maximum distance run =  
  3. Hence the range of average distance run by the athletes can be from 18 to 26.2
  4. The only option that is outside the range is option E, 28 kilometres
Answer : E
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The table above shows the distribution of the distance, rounded to the nearest integer, run by 20 athletes in a marathon. Which of thefollowing cannot be the approximate average (arithmetic mean) distance run (in kilometres) by the athletes in the marathon?a)18b)21c)24d)26e)28Correct answer is option 'E'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The table above shows the distribution of the distance, rounded to the nearest integer, run by 20 athletes in a marathon. Which of thefollowing cannot be the approximate average (arithmetic mean) distance run (in kilometres) by the athletes in the marathon?a)18b)21c)24d)26e)28Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The table above shows the distribution of the distance, rounded to the nearest integer, run by 20 athletes in a marathon. Which of thefollowing cannot be the approximate average (arithmetic mean) distance run (in kilometres) by the athletes in the marathon?a)18b)21c)24d)26e)28Correct answer is option 'E'. Can you explain this answer?.
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