[GMAT math practice question]
A data set contains 5 values: 11, 13, 15, 19, and x. What is the value of x?
1) The median of the 5 values is 15
2) The range of the data set is 8
A data set contains 5 values: 11, 13, 15, 19, and x. What is
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- Max@Math Revolution
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Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
Since we have 1 variable (x) and 0 equations, D is most likely to be the answer. So, we should consider each of the conditions on their own first.
Note: if the question doesn't include the phrase, "in increasing order", then x could be any number. In particular, it could be greater than or less than 19.
Condition 1):
Since the median is 15, we only know that x ≥ 15.
Condition 1) is not sufficient.
Condition 2):
Since the range of the values is 8, we have 11 ≤ x ≤ 19.
Condition 2) is not sufficient.
Conditions 1) & 2):
Both conditions 1) & 2) together yield 15 ≤ x ≤ 19. But this does not tell us the exact value of x. We do not have a unique solution.
Thus, both conditions together are not sufficient.
Therefore, E is the answer.
Answer: E
Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
Since we have 1 variable (x) and 0 equations, D is most likely to be the answer. So, we should consider each of the conditions on their own first.
Note: if the question doesn't include the phrase, "in increasing order", then x could be any number. In particular, it could be greater than or less than 19.
Condition 1):
Since the median is 15, we only know that x ≥ 15.
Condition 1) is not sufficient.
Condition 2):
Since the range of the values is 8, we have 11 ≤ x ≤ 19.
Condition 2) is not sufficient.
Conditions 1) & 2):
Both conditions 1) & 2) together yield 15 ≤ x ≤ 19. But this does not tell us the exact value of x. We do not have a unique solution.
Thus, both conditions together are not sufficient.
Therefore, E is the answer.
Answer: E
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]