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19 Jun 2023, 08:00
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C
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Difficulty:
25%
(medium)
Question Stats:
78% (00:57) correct
22%
(00:55)
wrong
based on 79
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What is the median of the 9 numbers?
(1) The smallest 5 numbers of them are less than or equal to 10.
(2) The largest 5 numbers of them are more than or equal to 10.
(1) The smallest 5 numbers of them are less than or equal to 10.
(2) The largest 5 numbers of them are more than or equal to 10.
19 Jun 2023, 08:14
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Since there are 9 numbers, the median of the set will be the 5th number when arranged chronologically.
(1)
Possibility 1: 2 2 2 2 3 x x x x
Possibility 2: 1 2 3 4 10 x x x x
Results in 2 different medians. Not Sufficient.
(2)
Possibility 1: x x x x 10 12 12 13 14
Possibility 2: x x x x 13 15 16 17 18
Results in 2 different medians. Not Sufficient.
(1+ 2)
Statement 1 says that the smallest 5 numbers are smaller than or equal to 10 (let this be subset A)
Statement 2 says that the largest 5 numbers are larger than or equal to 10 (let this be subset B)
Considering that there are 9 numbers in the set, the largest number of subset A and the smallest number of subset B must be the same number.Taking into account the question stem, we know that '10' is the only number which could be common in both Subset A and Subset B.
10 would be the largest possible number in Subset A and the smallest possible number in Subset B. Therefore Median = 10. Ans C.
(1)
Possibility 1: 2 2 2 2 3 x x x x
Possibility 2: 1 2 3 4 10 x x x x
Results in 2 different medians. Not Sufficient.
(2)
Possibility 1: x x x x 10 12 12 13 14
Possibility 2: x x x x 13 15 16 17 18
Results in 2 different medians. Not Sufficient.
(1+ 2)
Statement 1 says that the smallest 5 numbers are smaller than or equal to 10 (let this be subset A)
Statement 2 says that the largest 5 numbers are larger than or equal to 10 (let this be subset B)
Considering that there are 9 numbers in the set, the largest number of subset A and the smallest number of subset B must be the same number.Taking into account the question stem, we know that '10' is the only number which could be common in both Subset A and Subset B.
10 would be the largest possible number in Subset A and the smallest possible number in Subset B. Therefore Median = 10. Ans C.
16 Aug 2024, 01:23
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What is the median of the 9 numbers?
(1) The smallest 5 numbers of them are less than or equal to 10.
(2) The largest 5 numbers of them are more than or equal to 10.
Answer mentioned is C.
But the set can also be
Possibility 1: { 1,2,3,4,5, 13,14,15,16,17}
Possibility 2: { 5,6,7,8,9, 21,22,23,24,25}
No definite answer, so option E.
Can someone please help here.
(1) The smallest 5 numbers of them are less than or equal to 10.
(2) The largest 5 numbers of them are more than or equal to 10.
Answer mentioned is C.
But the set can also be
Possibility 1: { 1,2,3,4,5, 13,14,15,16,17}
Possibility 2: { 5,6,7,8,9, 21,22,23,24,25}
No definite answer, so option E.
Can someone please help here.
