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19 Apr 2022, 02:00
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
66% (02:09) correct
34%
(02:12)
wrong
based on 144
sessions
History
Date
Time
Result
Not Attempted Yet
In a distribution of 8,500 different measurements of the variable X, 26.5 is the 56 percentile and 37.1 is the 78th percentile. Which of the following is closest to the number of measurements of X that are in the distribution such that 26.5 ≤ X ≤ 37.1?
A. 1,850
B. 2,200
C. 3,500
D. 4,750
E. 6,650
A. 1,850
B. 2,200
C. 3,500
D. 4,750
E. 6,650
19 Apr 2022, 02:57
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Explanation:
78-56 = 22
8500*22/100
1870
Closest Answer is A.
Posted from my mobile device
78-56 = 22
8500*22/100
1870
Closest Answer is A.
Posted from my mobile device
19 Apr 2022, 03:36
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X here is something called a "random variable" in statistics (and it's wrong to call it an ordinary "variable" as this question does), and the GMAT never tests random variables, though an MBA student will see a lot of them. We also technically can't answer the question, because we have no idea how many of the measurements are equal to each other (it says we're taking 8500 different measurements, which doesn't mean the values are different from each other, only that we measured values 8500 different times). The question surely wants us to work out that between the 56th and 78th percentile, you'll usually find 78 - 56 = 22% of your values, so the OA will be 0.22*8500 = 1870 ~ 1850, but that doesn't need to be the right answer here if values of X can be repeated.
What is the source?
What is the source?
