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# The average (arithmetic mean) of a set of n numbers is 75. If adding

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Math Expert
Joined: 02 Sep 2009
Posts: 58133
The average (arithmetic mean) of a set of n numbers is 75. If adding  [#permalink]

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22 Aug 2019, 00:04
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Difficulty:

15% (low)

Question Stats:

96% (01:29) correct 4% (04:16) wrong based on 23 sessions

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The average (arithmetic mean) of a set of n numbers is 75. If adding the number 160 in the set raises the average to 80, what is the value of n?

A. 20
B. 16
C. 8
D. 6
E. 4

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Re: The average (arithmetic mean) of a set of n numbers is 75. If adding  [#permalink]

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22 Aug 2019, 00:16
The sum of a set of $$n$$ numbers is $$75n$$.

75n + 160 = 80(n+1)
--> 80 = 5n
--> n = 16

Answer is (B)

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Re: The average (arithmetic mean) of a set of n numbers is 75. If adding   [#permalink] 22 Aug 2019, 00:16
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# The average (arithmetic mean) of a set of n numbers is 75. If adding

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