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 500,000 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:

72% (01:03) correct
28% (01:14) wrong based on 605 sessions

HideShow timer Statistics

The table above gives the age categories of the 161 employees at Company X and the number of employees in each category. According to the table, if m is the median age, in years, of the employees at Company X, then m must satisfy which of the following?

A) 20 ≤ m ≤ 29 B) 25 ≤ m ≤ 34 C) 30 ≤ m ≤ 39 D) 35 ≤ m ≤ 44 E) 40 ≤ m ≤ 49

Re: The table above gives the age categories of the 161 employees at Compa [#permalink]

Show Tags

17 Jun 2016, 07:25

1

This post received KUDOS

1

This post was BOOKMARKED

Total number of employees = 161. Thus the median of this set will be the 81st element. Now our job is to find out find range does this element belong to.

if we arrange the set in ascending order, the first 29 elements to set "less than 20". now the next 58 employees belong to set "20-29". Thus the last element will 29 + 58 = 87th element of the set. And we are supposed to find out the 81st, which will lie in this range, Thus the answer is A.

Re: The table above gives the age categories of the 161 employees at Compa [#permalink]

Show Tags

17 Jun 2016, 11:31

1

This post received KUDOS

Abhishek009 wrote:

FacelessMan wrote:

if we arrange the set in ascending order, the first 29 elements to set "less than 20". now the next 58 employees belong to set "20-29".

Completely agree with the explanation , just thought about supplementing the highlighted part -

Attachment:

Capture.PNG

Drawing a cumulative chart will clear the confusion (if any ) Answer will definitely be (A)

Don't you think the cumulative chart should be sorted in increasing order of the age - the other way around ? I know the answer will not change. But just asking.

Re: The table above gives the age categories of the 161 employees at Compa [#permalink]

Show Tags

17 Jun 2016, 11:51

FacelessMan wrote:

Abhishek009 wrote:

FacelessMan wrote:

if we arrange the set in ascending order, the first 29 elements to set "less than 20". now the next 58 employees belong to set "20-29".

Completely agree with the explanation , just thought about supplementing the highlighted part -

Attachment:

The attachment Capture.PNG is no longer available

Drawing a cumulative chart will clear the confusion (if any ) Answer will definitely be (A)

Don't you think the cumulative chart should be sorted in increasing order of the age - the other way around ? I know the answer will not change. But just asking.

That's perfect

Attachment:

Capture.PNG [ 5.34 KiB | Viewed 4650 times ]

Kudos to U...
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

The table above gives the age categories of the 161 employees at Company X and the number of employees in each category. According to the table, if m is the median age, in years, of the employees at Company X, then m must satisfy which of the following?

A) 20 ≤ m ≤ 29 B) 25 ≤ m ≤ 34 C) 30 ≤ m ≤ 39 D) 35 ≤ m ≤ 44 E) 40 ≤ m ≤ 49

We are given a table that has the age categories of the 161 employees at Company X and the number of employees in each category. Recall that if we have a set of n numbers arranged in order, the median of this set of n numbers is the number at the [(n + 1)/2]th position. Thus, the employee with the median age is at the (161+1)/2 = 162/2 = 81st position (assuming the ages of the employees are listed in order). The table provides us with the following information:

Age less than 20: 29 employees (i.e., 1st data point to 29th data point)

Age 20-29: 58 employees (i.e., 30th data point to 87th data point)

We see that the 81st data point will fall into the age group from 20-29 since this age group contains the 30th data point to the 87th data point.

Thus 20 ≤ m ≤ 29.

Answer: A
_________________

Jeffery Miller Head of GMAT Instruction

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions

The table above gives the age categories of the 161 employees at Compa [#permalink]

Show Tags

12 Sep 2017, 21:33

BunuelEngr2012 The table above gives the age categories of the 161 employees at Company X and the number of employees in each category. According to the table, if m is the median age, in years, of the employees at Company X, then m must satisfy which of the following?

Can I not simply say that since maximum no of employees are in age bucket of 20-29 and median is affected by cluster of data in middle in a set, (A) is the OA?

BunuelEngr2012 The table above gives the age categories of the 161 employees at Company X and the number of employees in each category. According to the table, if m is the median age, in years, of the employees at Company X, then m must satisfy which of the following?

Can I not simply say that since maximum no of employees are in age bucket of 20-29 and median is affected by cluster of data in middle in a set, (A) is the OA?

No.

The median of a set with even number of terms is the average of two middle terms when arranged in ascending (or descending) order. The median of a set with odd number of terms is the middle term when arranged in ascending (or descending) order.

The median age of 161 employees will be the age of 81st employee when the employees are arranged by age in ascending (or descending) order. The median age won't necessarily be from a group with the largest number of employees, for example, if the group less than 20 were 20, instead of 29 and the group 70 and over were 11, instead of 2, then the median age would be between 30 and 39 because 81st employee would fall in that group.

Version 8.1 of the WordPress for Android app is now available, with some great enhancements to publishing: background media uploading. Adding images to a post or page? Now...

Post today is short and sweet for my MBA batchmates! We survived Foundations term, and tomorrow's the start of our Term 1! I'm sharing my pre-MBA notes...

“Keep your head down, and work hard. Don’t attract any attention. You should be grateful to be here.” Why do we keep quiet? Being an immigrant is a constant...