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: Is the standard deviation of the numbers X, Y and Z equal to [#permalink]
17 Jan 2013, 05:25

9

This post received KUDOS

Expert's post

3

This post was BOOKMARKED

Is the standard deviation of the numbers X, Y and Z equal to the standard deviation of 10, 15 and 20?

(1) Z - X = 10. No info about y. Not sufficient. (2) Z - Y = 5. . No info about x. Not sufficient.

(1)+(2) From above x = z - 10 and y = z - 5, so the set in ascending order is {z-10, z-5, z}. Now, if we add or subtract a constant to each term in a set the standard deviation will not change. Adding 20-z to each term in the set we get {10, 15, 20}. So, the standard deviation of {z-10, z-5, z} is equal to that of {10, 15, 20}. Sufficient.

Re: Is the standard deviation of the numbers X, Y and Z equal to [#permalink]
17 Jan 2013, 20:10

3

This post received KUDOS

Expert's post

fozzzy wrote:

Is the standard deviation of the numbers X, Y and Z equal to the standard deviation of 10,15 and 20?

(1) Z - X = 10 (2) Z - Y = 5

Another way to look at SD is to think in terms of a number line. SD calculates the dispersion of numbers from the mean. The SD of two sets will be the same if the relative placement of numbers from the respective means is the same.

This is what 10, 15 and 20 will look like on a number line 10 .... 15 .... 20 (15 is the mean and 10 and 20 are 5 steps away from the mean. Each dot is a number between 10 and 15 and between 15 and 20)

(1) Z - X = 10 This is what Z and X will look like on the number line X ......... Z

(2) Z - Y = 5 This is what Z and Y will look like on the number line Y .... Z

Together, their relative placement on the number line looks like this: X .... Y .... Z

This matches the placement of 10, 15 and 20 and hence the SD will be the same in the two cases.

Re: Is the standard deviation of the numbers X, Y and Z equal to [#permalink]
17 Mar 2013, 19:29

1

This post received KUDOS

Expert's post

nikhil007 wrote:

well I thought the same way and was going to mark C But I stopped thinking of another case

Y....Z.........X I.e this case satisfies the 2 conditions difference between Y and Z is 5 and difference between Z and X is 10, will SD be same in this case too? Sounds a bit stupid, but need to know why this approach is incorrect?

Z - X = 10 implies that Z is greater than X by 10 which means Z MUST be to the right of X on the number line. It doesn't matter whether Z and X are both positive, both negative or one positive one negative. You cannot put Z to the left of X on the number line and still have Z - X = 10. This is the reason using number line is a good idea because it gives you a lot of clarity. _________________

Re: Is the standard deviation of the numbers X, Y and Z equal to [#permalink]
17 Mar 2013, 19:36

1

This post received KUDOS

Expert's post

nikhil007 wrote:

well I thought the same way and was going to mark C But I stopped thinking of another case

Y....Z.........X I.e this case satisfies the 2 conditions difference between Y and Z is 5 and difference between Z and X is 10, will SD be same in this case too? Sounds a bit stupid, but need to know why this approach is incorrect?

Also, SD of 10, 15, 20 will not be the same as SD of Y....Z.........X (e.g. 5, 10, 20). The distance of the numbers from the mean is not the same in the two cases.

SD of 10, 15, 20 will be the same as SD of 20, 25, 30 or of 41, 46, 51 or of -16, -11, -6 etc. _________________

Re: Is the standard deviation of the numbers X, Y and Z equal to [#permalink]
30 Apr 2013, 21:45

1

This post received KUDOS

Expert's post

hitman5532 wrote:

Is the 700-level rating accurate?

I would say 650 - 700. Note that there are certain complications:

1. The concept of SD is not very intuitive to many people which makes this question hard. Once you understand it, you feel its simple. 2. X, Y and Z are not given to be positive so subtraction puts people off sometimes since they feel they have to account for positive as well as negative numbers. Its all in the perception. _________________

Re: Is the standard deviation of the numbers X, Y and Z equal to [#permalink]
17 Jan 2013, 05:46

Bunuel wrote:

Is the standard deviation of the numbers X, Y and Z equal to the standard deviation of 10, 15 and 20?

(1) Z - X = 10. No info about y. Not sufficient. (2) Z - Y = 5. . No info about x. Not sufficient.

(1)+(2) From above x = z - 10 and y = z - 5, so the set in ascending order is {z-10, z-5, z}. Now, if we add or subtract a constant to each term in a set the standard deviation will not change. Adding 20-z to each term in the set we get {10, 15, 20}. So, the standard deviation of {z-10, z-5, z} is equal to that of {10, 15, 20}. Sufficient.

Answer: C.

Hope it's clear.

Sweet Trick to solve the question, very helpful! _________________

Re: Is the standard deviation of the numbers X, Y and Z equal to [#permalink]
23 Jan 2013, 05:36

fozzzy wrote:

Is the standard deviation of the numbers X, Y and Z equal to the standard deviation of 10,15 and 20?

(1) Z - X = 10 (2) Z - Y = 5

1. From the information we know that the gap between Z and X is 10 so we can think of any number with that gap... {5,Y,15} or {10,Y,20} or {50,Y,60}, etc. These sets are similar to the given {10,15,20} in such away that the first and last term are of a distance of 10.

Notice that the middle number of {10,15,20} is 15 which is equal to the average = 20+10+15/3 = 15. Now, we do not know the middle number or Y or {X,Y,Z}. If Y is equal to the average then it will have an SD equal to the SD of {10,15,20}. If Y is not equal to the average, then our SD will be greater.

INSUFFICIENT!

2. From the information we know that Y and Z are of 5 away from each other {X,15,20} or {X,16,21}, etc. These sets are similar to {10,15,20} in terms of the distance of 2nd to the last term. But, we need to know X to know how spread out are the numbers. If X -Y is 5 then the SD will be the same. If not then the SD will not be the same.

INSUFFICIENT!

Together: {X,Y,Z} = {i, i+5, i+10} SD is the same with {10,15,20} where i=10: {10, 10+5, 10+10}

Re: Is the standard deviation of the numbers X, Y and Z equal to [#permalink]
17 Mar 2013, 00:05

well I thought the same way and was going to mark C But I stopped thinking of another case

Y....Z.........X I.e this case satisfies the 2 conditions difference between Y and Z is 5 and difference between Z and X is 10, will SD be same in this case too? Sounds a bit stupid, but need to know why this approach is incorrect? _________________

Life is very similar to a boxing ring. Defeat is not final when you fall down… It is final when you refuse to get up and fight back!

Re: Is the standard deviation of the numbers X, Y and Z equal to [#permalink]
13 May 2014, 04:47

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. _________________

On September 6, 2015, I started my MBA journey at London Business School. I took some pictures on my way from the airport to school, and uploaded them on...

When I was growing up, I read a story about a piccolo player. A master orchestra conductor came to town and he decided to practice with the largest orchestra...

I’ll start off with a quote from another blog post I’ve written : “not all great communicators are great leaders, but all great leaders are great communicators.” Being...