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If S = {0, 4, 5, 2, 11, 8}, how much greater than the median of the numbers in S is the mean of the numbers in S?

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by BTGModeratorVI » Wed Dec 16, 2020 12:39 pm

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If S = {0, 4, 5, 2, 11, 8}, how much greater than the median of the numbers in S is the mean of the numbers in S?

(A) 0.5
(B) 1.0
(C) 1.5
(D) 2.0
(E) 2.5

Answer: A
Source: official guide
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Re: If S = {0, 4, 5, 2, 11, 8}, how much greater than the median of the numbers in S is the mean of the numbers in S?

by Brent@GMATPrepNow » Fri Jan 01, 2021 6:56 am
BTGModeratorVI wrote: ↑
Wed Dec 16, 2020 12:39 pm
 If S = {0, 4, 5, 2, 11, 8}, how much greater than the median of the numbers in S is the mean of the numbers in S?

(A) 0.5
(B) 1.0
(C) 1.5
(D) 2.0
(E) 2.5

Answer: A
Source: official guide
To find the median, first arrange the values in ASCENDING ORDER: {0, 2, 4, 5, 8, 11}
Since the set has an EVEN number values, the median will be the average of the two middlemost numbers.
So, median = (4 + 5)/2 = 9/2 = 4.5

Mean = (sum of all values in the set)/(number of values in the set)
= (0 + 4 + 5 + 2 + 11 + 8)/6
= 30/6
= 5

How much greater than the median of the numbers in S is the mean of the numbers in S?
Median = 4.5
Mean = 5

The mean is 0.5 more than the median

Answer: A
Brent Hanneson - Creator of GMATPrepNow.com
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