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What is the average (arithmetic mean) of all the multiples

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What is the average (arithmetic mean) of all the multiples [#permalink] New post 31 Jan 2018, 05:44
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Question Stats:

92% (00:37) correct 7% (00:41) wrong based on 13 sessions
What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?

A) 90
B) 95
C) 100
D) 105
E) 110

[Reveal] Spoiler:
C
[Reveal] Spoiler: OA
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Re: What is the average (arithmetic mean) of all the multiples [#permalink] New post 31 Jan 2018, 11:15
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Expert's post
amorphous wrote:
What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?

A) 90
B) 95
C) 100
D) 105
E) 110

[Reveal] Spoiler:
C


There's a nice rule that says, "In a set where the numbers are equally spaced, the mean will equal the median."
For example, in each of the following sets, the mean and median are equal:
{7, 9, 11, 13, 15}
{-1, 4, 9, 14}
{3, 4, 5, 6}

There's another nice rule that says, In a set where the numbers are equally spaced, the mean = (largest value + smallest value)/2

The multiples of ten from 10 to 190 inclusive are equally spaced, so the median = the mean

So, the mean = median = (10 + 190)/2 = 100

Answer: C

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: What is the average (arithmetic mean) of all the multiples [#permalink] New post 27 Mar 2018, 10:27
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10 * (1+2+3+...19). Then 19+1 (9.5) = 190. So, (10 (190)) / 19 ( the number of values) = 100
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Re: What is the average (arithmetic mean) of all the multiples   [#permalink] 27 Mar 2018, 10:27
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What is the average (arithmetic mean) of all the multiples

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