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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.
Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.
Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.
Quantity B: The median of the annual salaries of the teachers at School X.
- 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 'A'. Can you explain this answer?
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Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Given:
- The sum of the annual salaries of the 21 teachers at School X is $781,200.
- Twelve of the 21 teachers have an annual salary that is less than $37,000.
To find:
Compare the average (Quantity A) and the median (Quantity B) of the annual salaries of the teachers at School X.
Solution:
Let's break down the problem step by step:
Step 1: Calculate the total sum of the annual salaries of the 21 teachers.
- Given that the sum is $781,200.
Step 2: Calculate the sum of the annual salaries of the 9 teachers whose salary is equal to or greater than $37,000.
- Subtract the sum of the salaries of the 12 teachers whose salary is less than $37,000 from the total sum of salaries.
- Total sum of salaries - Sum of salaries of 12 teachers = Sum of salaries of 9 teachers.
- Let's denote this sum as S.
Step 3: Calculate the average (arithmetic mean) of the annual salaries of the teachers at School X.
- Divide the sum S by the total number of teachers (21).
- Average = S / 21.
Step 4: Calculate the median of the annual salaries of the teachers at School X.
- Arrange the annual salaries of the teachers in ascending order.
- The median is the middle value when the salaries are arranged in ascending order. If there are two middle values, the median is the average of the two.
- In this case, since the number of teachers is odd (21), the median will be the value at the 11th position when the salaries are arranged in ascending order.
Step 5: Compare Quantity A (average) and Quantity B (median).
- If Quantity A (average) is greater than Quantity B (median), select choice A.
- If Quantity B (median) is greater than Quantity A (average), select choice B.
- If Quantity A (average) is equal to Quantity B (median), select choice C.
Conclusion:
In this problem, we have calculated the average (Quantity A) and the median (Quantity B) of the annual salaries of the teachers at School X. Since the average of the annual salaries is greater than the median, Quantity A is greater than Quantity B. Therefore, the correct answer is choice A.
- The sum of the annual salaries of the 21 teachers at School X is $781,200.
- Twelve of the 21 teachers have an annual salary that is less than $37,000.
To find:
Compare the average (Quantity A) and the median (Quantity B) of the annual salaries of the teachers at School X.
Solution:
Let's break down the problem step by step:
Step 1: Calculate the total sum of the annual salaries of the 21 teachers.
- Given that the sum is $781,200.
Step 2: Calculate the sum of the annual salaries of the 9 teachers whose salary is equal to or greater than $37,000.
- Subtract the sum of the salaries of the 12 teachers whose salary is less than $37,000 from the total sum of salaries.
- Total sum of salaries - Sum of salaries of 12 teachers = Sum of salaries of 9 teachers.
- Let's denote this sum as S.
Step 3: Calculate the average (arithmetic mean) of the annual salaries of the teachers at School X.
- Divide the sum S by the total number of teachers (21).
- Average = S / 21.
Step 4: Calculate the median of the annual salaries of the teachers at School X.
- Arrange the annual salaries of the teachers in ascending order.
- The median is the middle value when the salaries are arranged in ascending order. If there are two middle values, the median is the average of the two.
- In this case, since the number of teachers is odd (21), the median will be the value at the 11th position when the salaries are arranged in ascending order.
Step 5: Compare Quantity A (average) and Quantity B (median).
- If Quantity A (average) is greater than Quantity B (median), select choice A.
- If Quantity B (median) is greater than Quantity A (average), select choice B.
- If Quantity A (average) is equal to Quantity B (median), select choice C.
Conclusion:
In this problem, we have calculated the average (Quantity A) and the median (Quantity B) of the annual salaries of the teachers at School X. Since the average of the annual salaries is greater than the median, Quantity A is greater than Quantity B. Therefore, the correct answer is choice A.
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Community Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
The average of the annual salaries of the 21 teachers is $781,200 / 21, or $37,000. By definition, the median of the 21 annual salaries is the 11th salary when the 21 salaries are listed in increasing order. Note that in the question you are given that 12 of the 21 salaries are less than $37,000. Thus, when the 21 salaries are listed in increasing order, the first 12 salaries in the list are less than $37,000. Thus the median of the salaries, which is the 11th salary in the list, is less than $37,000, which is less than the average salary of $37,200. The correct answer is Choice A.
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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.Quantity B: The median of the annual salaries of the teachers at School X.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 'A'. Can you explain this answer?
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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.Quantity B: The median of the annual salaries of the teachers at School X.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 'A'. 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: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.Quantity B: The median of the annual salaries of the teachers at School X.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 'A'. 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: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.Quantity B: The median of the annual salaries of the teachers at School X.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 'A'. Can you explain this answer?.
Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.Quantity B: The median of the annual salaries of the teachers at School X.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 'A'. 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: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.Quantity B: The median of the annual salaries of the teachers at School X.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 'A'. 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: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.Quantity B: The median of the annual salaries of the teachers at School X.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 'A'. Can you explain this answer?.
Solutions for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.Quantity B: The median of the annual salaries of the teachers at School X.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 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.Quantity B: The median of the annual salaries of the teachers at School X.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 'A'. Can you explain this answer?, a detailed solution for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.Quantity B: The median of the annual salaries of the teachers at School X.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 'A'. Can you explain this answer? has been provided alongside types of Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.Quantity B: The median of the annual salaries of the teachers at School X.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 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than $37,000.Quantity A: The average (arithmetic mean) of the annual salaries of the teachers at School X.Quantity B: The median of the annual salaries of the teachers at School X.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 'A'. Can you explain this answer? tests, examples and also practice GRE tests.
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