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17 Jan 2021, 14:34
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
79% (01:33) correct
21%
(01:47)
wrong
based on 117
sessions
History
Date
Time
Result
Not Attempted Yet
List L: 3, 4, 8, 15, x
Is the median of list L greater than 5?
(1) The mode of list L is greater than 3.
(2) The average (arithmetic mean) of the numbers in list L is greater than 7.
Is the median of list L greater than 5?
(1) The mode of list L is greater than 3.
(2) The average (arithmetic mean) of the numbers in list L is greater than 7.
17 Jan 2021, 14:47
Kudos
Bookmarks
List L: 3, 4, 8, 15, x
Is the median of list L greater than 5?
(1) The mode of list L is greater than 3.
The mode is the number that occurs the most frequently in a data set. So, if the mode is greater than 3, then x is 4, 8, or 15. (x cannot be any other number, because if x is any other number, then every number in the set occurs an equal number of times, and such sets do not have the mode.)
Now, if x is 4, then the median is 4, so less than 5 but of x is 8 or 15, then the median is 8, so more than 5. Not sufficient.
(2) The average (arithmetic mean) of the numbers in list L is greater than 7.
The average = (3 + 4 + 8 + 15 + x)/5 > 7;
x > 5.
Now, if x > 5, then the median of the list L will be x (which is more than 5), if 5 < x < 8 and 8, if x >= 8. So, in any case the median will be more than 5. Sufficient.
Answer: B.
Is the median of list L greater than 5?
(1) The mode of list L is greater than 3.
The mode is the number that occurs the most frequently in a data set. So, if the mode is greater than 3, then x is 4, 8, or 15. (x cannot be any other number, because if x is any other number, then every number in the set occurs an equal number of times, and such sets do not have the mode.)
Now, if x is 4, then the median is 4, so less than 5 but of x is 8 or 15, then the median is 8, so more than 5. Not sufficient.
(2) The average (arithmetic mean) of the numbers in list L is greater than 7.
The average = (3 + 4 + 8 + 15 + x)/5 > 7;
x > 5.
Now, if x > 5, then the median of the list L will be x (which is more than 5), if 5 < x < 8 and 8, if x >= 8. So, in any case the median will be more than 5. Sufficient.
Answer: B.
18 Jan 2021, 11:02
Kudos
Bookmarks
Given: List L: 3, 4, 8, 15, x
Asked: Is the median of list L greater than 5?
(1) The mode of list L is greater than 3.
If mode = 4
Median = 4
But if mode=8
Median = 8
NOT SUFFICIENT
(2) The average (arithmetic mean) of the numbers in list L is greater than 7.
3+4+8+15+x > 35
x > 5
Least value of x = 6
Median of list L > 5
SUFFICIENT
IMO B
Asked: Is the median of list L greater than 5?
(1) The mode of list L is greater than 3.
If mode = 4
Median = 4
But if mode=8
Median = 8
NOT SUFFICIENT
(2) The average (arithmetic mean) of the numbers in list L is greater than 7.
3+4+8+15+x > 35
x > 5
Least value of x = 6
Median of list L > 5
SUFFICIENT
IMO B
