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# What is the average of the first 15 positive integers?

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Math Expert
Joined: 02 Sep 2009
Posts: 58449
What is the average of the first 15 positive integers?  [#permalink]

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11 Oct 2019, 02:41
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Difficulty:

25% (medium)

Question Stats:

94% (00:39) correct 6% (00:10) wrong based on 18 sessions

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What is the average of the first 15 positive integers?

(A) 7

(B) 7.5

(C) 8

(D) 8.5

(E) 9

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Re: What is the average of the first 15 positive integers?  [#permalink]

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11 Oct 2019, 03:35
1,2,...15
Sum:15/2 × 16=120
120/15=8
Option C

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Re: What is the average of the first 15 positive integers?  [#permalink]

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11 Oct 2019, 08:25
sum of first 15 ; 15*16/2 = 120
avg ; 120/15 = 8
IMO C

Bunuel wrote:
What is the average of the first 15 positive integers?

(A) 7

(B) 7.5

(C) 8

(D) 8.5

(E) 9
Senior Manager
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Re: What is the average of the first 15 positive integers?  [#permalink]

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11 Oct 2019, 08:37
1
a series in AP, the Avg is always the (first+last term)/2
here (1+15)/2=8
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Re: What is the average of the first 15 positive integers?  [#permalink]

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11 Oct 2019, 09:16
Bunuel wrote:
What is the average of the first 15 positive integers?

(A) 7

(B) 7.5

(C) 8

(D) 8.5

(E) 9

Sum of First 15 positive numbers is $$15*\frac{16}{2}$$

Now, Average of these numbers will be $$\frac{15*16}{2*15} = \frac{16}{2} = 8$$ , Hence Answer must be (C)
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Re: What is the average of the first 15 positive integers?   [#permalink] 11 Oct 2019, 09:16
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