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:

Steve took 5 history exams during a semester. Each score was [#permalink]
08 Nov 2004, 06:43

1

This post received KUDOS

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

29% (02:53) correct
71% (01:49) wrong based on 9 sessions

Steve took 5 history exams during a semester. Each score was one of the integers 1 through 100 inclusive. What was Steve's median score for these 5 exams?

1- Steve's scores on the first 4 exams were 76, 87, 73 and 96, respectively, and Steve's average (arithmetic mean) score on the last 3 exams was 89
2- Steve's score on the first 3 exams were 76, 87, and 73, respectively, and Steve's average (arithmetic mean) on all 5 exams was 86 _________________

Statement 1: Gives you the first four scores and the average scores for the last three exams. So, using the average the last score can be determined. Once we have all the five scores, we can tell the median is 87.

Statement 2: Gives the first three scores and the average for all the five scores. So we have two unknowns the last two exam scores.

Using the average, we can see that 76+87+73+x+y = 86*5
=> x+y = 194.

But the scores have a range of 1 to 100 inclusive.

Assuming x =100, y = 94, so you can tell he did not get any lower than 94 in both the exams.

Key info is # of scores is an odd number.
Statement 1 is sufficient for reasons mentioned above.
As far as statement 2 is concerned all you need to know is whether the remaining unknowns (x & y) fall within or outside the [73,87] interval.
As x+y = 194 you know that min value for x or y is 94>87. Hence median is 87.

Re: DS mean-median [#permalink]
28 Aug 2011, 11:18

I have a small doubt regarding Statement 1. 5 scores are 73,76,87,96,x Avg of last three=89 87+96+x/3=89 x+183=267 x=84 5 scores are 73,76,84,87,96. Median is 84.

According to statement 2, median is 87.

Now, in DS two statements cannot have conflicting answers. So how come we are getting different answers?

Re: DS mean-median [#permalink]
28 Aug 2011, 11:53

jamifahad wrote:

I have a small doubt regarding Statement 1. 5 scores are 73,76,87,96,x Avg of last three=89 87+96+x/3=89 x+183=267 x=84 5 scores are 73,76,84,87,96. Median is 84.

According to statement 2, median is 87.

Now, in DS two statements cannot have conflicting answers. So how come we are getting different answers?

1 says: Steve's scores on the first 4 exams were 76, 87, 73 and 96, respectively. Means, the order must not be disturbed. 1st test:76 2nd test:87 3rd test:73 4th test:96 5th test:x

Average of last three: (73+96+x)/3=89 169+x=267 x=98

Originally posted on MIT Sloan School of Management : We are busy putting the final touches on our application. We plan to have it go live by July 15...