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The median is larger than the average for which one of the following s

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Carcass
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The median is larger than the average for which one of the following s [#permalink] New post   15 Apr 2022, 10:15
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The median is larger than the average for which one of the following sets of integers?

(A) {8, 9, 10, 11, 12}
(B) {8, 9, 10, 11, 13}
(C) {8, 10, 10, 10, 12}
(D) {10, 10, 10, 10, 10}
(E) {7, 9, 10, 11, 12}


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E
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GreenlightTestPrep
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Re: The median is larger than the average for which one of the following s [#permalink] New post   15 Apr 2022, 11:25
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Carcass wrote:
The median is larger than the average for which one of the following sets of integers?

(A) {8, 9, 10, 11, 12}
(B) {8, 9, 10, 11, 13}
(C) {8, 10, 10, 10, 12}
(D) {10, 10, 10, 10, 10}
(E) {7, 9, 10, 11, 12}




Useful property: If the values in a certain set are equally spaced, then the mean of the set = the median of the set.

Scan the answer choices.....
Notice that, if answer choice E were {8, 9, 10, 11, 12}, then the five values would be equally spaced, in which case the mean = median = 10
However, since the actual set of values is {7, 9, 10, 11, 12}, the median is still 10, but the mean is now slightly less than 10.

Answer: E
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Re: The median is larger than the average for which one of the following s [#permalink] New post   15 Apr 2022, 11:59
Median is middle term and mean or avg is (sum of all term)/ (no. of terms)

(A) {8, 9, 10, 11, 12} ---> Mean = 10 & Median = 10
(B) {8, 9, 10, 11, 13} ---> Mean = 10.2 & Median = 10
(C) {8, 10, 10, 10, 12} ---> Mean = 10 & Median = 10
(D) {10, 10, 10, 10, 10} ---> Mean = 10 & Median = 10
(E) {7, 9, 10, 11, 12} ---> Mean = 9.8 & Median = 10 ---> Correct ans
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Re: The median is larger than the average for which one of the following s [#permalink]
15 Apr 2022, 11:59
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