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Mean Median
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tapanmittal
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The table implies the following set:
7, 7, 7, 10, 10, 10, 10, 10, 11, 11, 11, 11.
Average of the set above = sum/number = 115/12 ≈ 9.5.
Median of the set above = 10.
For the average to become greater than the median, either the average must INCREASE or the median must DECREASE.
The answer choices represent the number of 8's that must be added to the set above in order for the average to become greater than the median.
Since 8 is LESS than the current average, every 8 that is added to the set will DECREASE the average.
Thus, it is not possible for the average to increase.
Implication:
The median must DECREASE.
The median will decrease only if at least six 8's are added to the set, as follows:
7, 7, 7, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 11.
Median of the resulting set = (8+10)/2 = 9.
Thus, the least possible value of n = 6.
The correct answer is E.
7, 7, 7, 10, 10, 10, 10, 10, 11, 11, 11, 11.
Average of the set above = sum/number = 115/12 ≈ 9.5.
Median of the set above = 10.
For the average to become greater than the median, either the average must INCREASE or the median must DECREASE.
The answer choices represent the number of 8's that must be added to the set above in order for the average to become greater than the median.
Since 8 is LESS than the current average, every 8 that is added to the set will DECREASE the average.
Thus, it is not possible for the average to increase.
Implication:
The median must DECREASE.
The median will decrease only if at least six 8's are added to the set, as follows:
7, 7, 7, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 11.
Median of the resulting set = (8+10)/2 = 9.
Thus, the least possible value of n = 6.
The correct answer is E.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
