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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

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:

Re: If set Z has a median of 19, what is the range of set Z? [#permalink]
21 Jan 2006, 01:31

1)
We have six numbers and a median of 19, thus the median has to be between 18 and x or y, which is egally.

The stem tells us that the median is 19 so either x or y has to be 20.

We know nothing about the other value, therefore can't determine the range

2) The average is 20, but we can't decide what the biggest number is, because we don't know the smallest; x or y could be smaller than 11

1+2) Either x or y is 20, see statement 1

The other value has to be greater than 18 and greater than 28 (since the smallest number 11 and the greatest number 28 don't support an average of 20)
The remaining value has to be 29

Re: If set Z has a median of 19, what is the range of set Z? [#permalink]
21 Jan 2006, 08:37

Ten people are riding on a bus in Redmond, Washington. The mean income of those riders is $50,000 a year. The median income of those riders is also $50,000 a year.

Joe Blow gets off the bus. Bill Gates gets on.

The median income of those riders remains $50,000 a year. But the mean income is now somewhere in the neighborhood of $50 million or so. A source now could say that the average income of those bus riders is 50 million bucks. But those other nine riders didn't become millionaires just because Bill Gates got on their bus. A reporter who writes that the "average rider" on that bus earns $50,000 a year, using the median, provides a far more accurate picture of those bus riders' place in the economy.

Re: If set Z has a median of 19, what is the range of set Z? [#permalink]
21 Jan 2006, 21:17

Good job people, the OA is "C". GMATT73, its interesting to note your approach, I am just wondering if it will work all the time! The remaining explanations are more of less the standard way of solving it; prash_c - nice story to explain a concept

Re: If set Z has a median of 19, what is the range of set Z? [#permalink]
28 Oct 2014, 06:10

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Michigan Ross: Center for Social Impact : The Center for Social Impact provides leaders with practical skills and insight to tackle complex social challenges and catalyze a career in...

The Importance of Financial Regulation : Before immersing in the technical details of valuing stocks, bonds, derivatives and companies, I always told my students that the financial system is...

The following pictures perfectly describe what I’ve been up to these days. MBA is an extremely valuable tool in your career, no doubt, just that it is also...