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Directions: Select one of the following answer choices.
Q. The graph below shows the frequency distribution of 50 integer values varying from 1 to 6.
Quantity A: The average (arithmetic mean) of the 50 values
Quantity B: The median of the 50 values
  • a)
    Quantity A is greater.
  • b)
    Quantity B is greater.
  • c)
    The two quantities are equal.
  • d)
    The relationship cannot be determined from the information given.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Directions: Select one of the following answer choices.Q. The graph b...
In this question, you are given a graph of the frequency distribution of 50 integer values and are asked to compare the average (arithmetic mean) with the median of the distribution.
In general, the median of a group of n values, where n is even, is obtained by ordering the values from least to greatest and then calculating the average (arithmetic mean) of the two middle values. So, for the 50 values shown in the graph, the median is the average of the 25th and 26th values, both of which are equal to 5. Therefore, the median of the 50 values is 5.
Once you know that the median of the 50 values is 5, the comparison simplifies to comparing the average of the 50 values with 5. You can make this comparison without actually calculating the average by noting from the graph that of the 50 values,
11 values are 1 unit above 5,
16 values are equal to 5,
10 values are 1 unit below 5, and
13 values are more than 1 unit below 5.
Since the part of the distribution that is below 5 contains 23 values -13 of which are more than 1 unit below 5 - and the part of the distribution that is above 5 contains 11 values - none of which is more than 1 unit above 5 - the average (arithmetic mean) of the 50 values must be less than 5. The correct answer is Choice B.
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Directions: Select one of the following answer choices.Q. The graph below shows the frequency distribution of 50 integer values varying from 1 to 6.Quantity A: The average (arithmetic mean) of the 50 valuesQuantity B: The median of the 50 valuesa)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer?
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Directions: Select one of the following answer choices.Q. The graph below shows the frequency distribution of 50 integer values varying from 1 to 6.Quantity A: The average (arithmetic mean) of the 50 valuesQuantity B: The median of the 50 valuesa)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Select one of the following answer choices.Q. The graph below shows the frequency distribution of 50 integer values varying from 1 to 6.Quantity A: The average (arithmetic mean) of the 50 valuesQuantity B: The median of the 50 valuesa)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Select one of the following answer choices.Q. The graph below shows the frequency distribution of 50 integer values varying from 1 to 6.Quantity A: The average (arithmetic mean) of the 50 valuesQuantity B: The median of the 50 valuesa)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer?.
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