Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

The mean of twenty-five consecutive positive integers numbers is what
[#permalink]

Show Tags

28 Jul 2017, 09:54

3

Bunuel wrote:

The mean of twenty-five consecutive positive integers numbers is what percent of the total?

(A) 4%

(B) 5%

(C) 20%

(D) 25%

(E) Cannot be determined by the information provided.

let the consecutive numbers be from 1 to 25 Sum = \(\frac{n}{2}*(first term + last term) =\) \(\frac{25}{2}*(1+25)\) or Sum = 25*13 Therefore Mean of 25 terms will be = \(\frac{25*13}{25}\) = 13 so Mean as % of Sum = \(\frac{13}{(25*13)}*100\) = 4% Option A

Re: The mean of twenty-five consecutive positive integers numbers is what
[#permalink]

Show Tags

28 Jul 2017, 10:09

3

I assume when the question says "total" it means to say "sum". By definition, mean = sum/n, where n is the number of terms.

We have n = 25, so:

mean = sum / 25

so the mean is 1/25 of the sum, or 4% of the sum.

It's not important that the set consists of consecutive integers.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts

Re: The mean of twenty-five consecutive positive integers numbers is what
[#permalink]

Show Tags

29 Jul 2017, 09:41

1

IanStewart wrote:

I assume when the question says "total" it means to say "sum". By definition, mean = sum/n, where n is the number of terms.

We have n = 25, so:

mean = sum / 25

so the mean is 1/25 of the sum or 4% of the sum.

It's not important that the set consists of consecutive integers.

I guess this would be the best way to solve it. If we focus on the definition, we can indeed come to conclusion that the relation between Mean and Sum is -

Mean/Sum = 1/N, where N is the total number of terms.

With this inference in mind, it would hardly take any time to solve this question.

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts

Re: The mean of twenty-five consecutive positive integers numbers is what
[#permalink]

Show Tags

10 Nov 2017, 17:05

1

Top Contributor

Bunuel wrote:

The mean of twenty-five consecutive positive integers numbers is what percent of the total?

(A) 4%

(B) 5%

(C) 20%

(D) 25%

(E) Cannot be determined by the information provided.

----------ASIDE---------------------- 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} ------------------ For this question, let x = first value So, x+1 = second value x+2 = third value . . . x+24 = last value

This means x+12 is the median AND the mode

Since x+12 = the mean of the 25 numbers, we can conclude that (25)(x+12 ) = the SUM of the 25 numbers

The mean of twenty-five consecutive positive integers numbers is what percent of the total? We must convert (x+12)/(25)(x+12) to a PERCENT (x+12)/(25)(x+12) = 1/25 = 4/100 = 4% Answer: A