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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

The median of a set with even number of elements is the average of two middle elements, when arranged in ascending/descending order. Thus the median of S = {0, 2, 4, 5, 8, 11} is (4 + 5)/2 = 4.5.

The mean of the set = (0 + 4 + 5 + 2 + 11 + 8)/6 = 5.

Re: If S = {0, 4, 5, 2, 11, 8}, how much greater than the median [#permalink]

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28 Jan 2014, 06:01

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the mean of the numbers is (0+4+5+2+11+8)/6=5 For the median, arrange the numbers in increasing order=0,2,4,5,8,11. The median is therefore (4+5)/2=4.5.

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

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

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Re: If S = {0, 4, 5, 2, 11, 8}, how much greater than the median
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19 Mar 2018, 07:37