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A list of measurements in increasing order is 4, 5, 6, 8, 10

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A list of measurements in increasing order is 4, 5, 6, 8, 10  [#permalink]

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New post 09 Feb 2007, 20:50
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A list of measurements in increasing order is 4, 5, 6, 8, 10 and x. If the median of these measurements is 6/7 times their arithmetic mean, what is the value of x?

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Re: Mean, median problem  [#permalink]

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New post 09 Feb 2007, 21:27
above720 wrote:
A list of measurements in increasing order is 4, 5, 6, 8, 10 and x. If the median of these measurements is 6/7 times their arithmetic mean, what is the value of x?


Median = (6 + 8)/2 = 7

7 = (6/7) * (Average)
Average = 49/6

Average = 49/6 = (4 + 5 + 6 + 8 + 10 + x)/6

49/6 = (x + 33)/6

49 = x + 33

x = 49 - 33 = 16

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Re: A list of measurements in increasing order is 4, 5, 6, 8, 10  [#permalink]

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New post 05 Sep 2018, 23:58
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Re: A list of measurements in increasing order is 4, 5, 6, 8, 10   [#permalink] 05 Sep 2018, 23:58
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