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Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
17 Jan 2022, 03:15
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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:
60% (02:13) correct
40%
(02:20)
wrong
based on 140
sessions
History
Date
Time
Result
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The median and mean of lit S = {3, 8, -1, 7, 4} can be made equal by including which of the following numbers to S?
A. 12
B. 9
C. 3
D. -2
E. -3
Are You Up For the Challenge: 700 Level Questions
A. 12
B. 9
C. 3
D. -2
E. -3
Are You Up For the Challenge: 700 Level Questions
23 Jan 2022, 09:24
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Asked: The median and mean of lit S = {3, 8, -1, 7, 4} can be made equal by including which of the following numbers to S?
A. 12; S = {-1,3, 4,7,8,12} ; Mean = 33/6 = 5.5; Median = 11/2 = 5.5; Mean = Median; Correct
B. 9; S = {-1,3, 4,7,8,9} ; Mean = 30/6 = 5; Median = 11/2 = 5.5; Mean <> Median; Incorrect
C. 3; S = {-1,3, 3,4,7,8} ; Mean = 24/6 = 4; Median = 7/2 = 3.5; Mean <> Median; Incorrect
D. -2; S = {-2,-1,3, 4,7,8} ; Mean = 19/6 = 3 1/6; Median = 7/2 = 3.5; Mean <> Median; Incorrect
E. -3; S = {-3,-1,3, 4,7,8} ; Mean = 18/6 = 3; Median = 7/2 = 3.5; Mean <> Median; Incorrect
IMO A
A. 12; S = {-1,3, 4,7,8,12} ; Mean = 33/6 = 5.5; Median = 11/2 = 5.5; Mean = Median; Correct
B. 9; S = {-1,3, 4,7,8,9} ; Mean = 30/6 = 5; Median = 11/2 = 5.5; Mean <> Median; Incorrect
C. 3; S = {-1,3, 3,4,7,8} ; Mean = 24/6 = 4; Median = 7/2 = 3.5; Mean <> Median; Incorrect
D. -2; S = {-2,-1,3, 4,7,8} ; Mean = 19/6 = 3 1/6; Median = 7/2 = 3.5; Mean <> Median; Incorrect
E. -3; S = {-3,-1,3, 4,7,8} ; Mean = 18/6 = 3; Median = 7/2 = 3.5; Mean <> Median; Incorrect
IMO A
23 Jan 2022, 09:47
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Bunuel
S={-1,3,4,7,8}....Sum = 21
(1) Use choices ( fastest and safest )
A. 12.........
New Set = {-1,3,4,7,8,12}....
Sum = 21+12 = 33.....Mean = 33/6 = 5.5
Median = 5.5
A is correct.
(2) Algebra and options
S={-1,3,4,7,8}....Sum = 21
Choices A and B are the highest and would make the median = (4+7)/2=5.5
So, 21+x = 6*5.5 = 33......x=12
The remaining options will make (3+4)/2 or 3.5 the median
So, 21+x = 6*3.5 = 21......x=0
Only 12 is in the options
(3) Pure Algebra without using options.
S={-1,3,4,7,8}....Sum = 21
The 3 possible scenarios of different medians.
(i) When x>7, then median will always be (4+7)/2 = 5.5
So, 21+x = 6*5.5 = 33......x=12
(ii) When 4<x<7, then median will be dependent on x = (4+x)/2
So, 21+x = 6*(4+x)/2 .........21+x=12+3x............2x=9........x=4.5
(iii) When x<4, then median will always be (4+3)/2 = 3.5
So, 21+x = 6*3.5 = 21......x=0
Thus, the number can be 12, 4.5 or 0
Only 12 is in the options
A
