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If S = {1, 7, 18, 20, 29, 33}, how much less is the mean of the number

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If S = {1, 7, 18, 20, 29, 33}, how much less is the mean of the number  [#permalink]

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New post 17 Feb 2016, 04:00
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If S = {1, 7, 18, 20, 29, 33}, how much less is the mean of the numbers in S than the median of the numbers in S?
(A) 1.0
(B) 1.5
(C) 2.0
(D) 2.5
(E) 3.0

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Re: If S = {1, 7, 18, 20, 29, 33}, how much less is the mean of the number  [#permalink]

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New post 17 Feb 2016, 21:12
Gnpth wrote:
If S = {1, 7, 18, 20, 29, 33}, how much less is the mean of the numbers in S than the median of the numbers in S?
(A) 1.0
(B) 1.5
(C) 2.0
(D) 2.5
(E) 3.0


This is a good question to understand the difference between mean and median.

Mean: Average of all the numbers. (Sum of all the elements divided by the number of elements)
Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is even, the average of middle two terms is the median

Coming to this question,
Mean = (1 + 7 + 18 + 20 + 29 + 33)/6 = 18
Median = (18 + 20)/2 = 19

Difference = 1
Option A
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Re: If S = {1, 7, 18, 20, 29, 33}, how much less is the mean of the number  [#permalink]

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New post 24 Nov 2019, 14:06
Mean= average
(1+7+18+20+29+33)/6=18
Median= middle data point
Since there is an even number of data points, take the average of the 2 middle data points.
(18+20)/2=19
19-18=1
Ans=A
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Re: If S = {1, 7, 18, 20, 29, 33}, how much less is the mean of the number   [#permalink] 24 Nov 2019, 14:06
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If S = {1, 7, 18, 20, 29, 33}, how much less is the mean of the number

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