 It is currently 22 Jul 2019, 19:33 ### GMAT Club Daily Prep

#### 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

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. # For a sample of 210 households, one-third of the households  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS: Founder  Joined: 18 Apr 2015
Posts: 7426
Followers: 126

Kudos [?]: 1457  , given: 6628

For a sample of 210 households, one-third of the households [#permalink]
1
KUDOS
Expert's post 00:00

Question Stats: 72% (01:06) correct 27% (00:39) wrong based on 18 sessions
For a sample of 210 households, one-third of the households do not have any pets, one-third of the households each have 1 pet, and the rest of the households each have 2 pets. Which of the following statistics for the sample are equal to 1?

Indicate $$all$$ such statistics.

A. The average (arithmetic mean) number of pets per household.
B. The median number of pets per household.
C. The range of the numbers of pets per household.
[Reveal] Spoiler: OA

_________________ Director  Joined: 07 Jan 2018
Posts: 659
Followers: 8

Kudos [?]: 621  , given: 88

Re: For a sample of 210 households, one-third of the households [#permalink]
1
KUDOS
total number of household=210
no pet household = 1/3*210 = 70
1 pet household = 1/3*210 = 70
2 pet household = 210-(70+70) = 70
avg = total pets/number of household
70*1 + 70*2 + 70*0)/210 = 1
median = 211/2 = 105.5th term
data in ascending order is in the form
0,0,0,0,0,.....0(70st term)
1(71st term),1,1,1,1,.....1(140th term)
as such 105.5th term= (1+1)/2 = 1
Highest number of pet per household - lowest number of pet per household= 2-0 =2
(a,b)
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Intern Joined: 26 Mar 2017
Posts: 23
WE: Account Management (Internet and New Media)
Followers: 0

Kudos [?]: 12 , given: 53

Re: For a sample of 210 households, one-third of the households [#permalink]
amorphous wrote:
total number of household=210
no pet household = 1/3*210 = 70
1 pet household = 1/3*210 = 70
2 pet household = 210-(70+70) = 70
avg = total pets/number of household
70*1 + 70*2 + 70*0)/210 = 1
median = 211/2 = 105.5th term
data in ascending order is in the form
0,0,0,0,0,.....0(70st term)
1(71st term),1,1,1,1,.....1(140th term)
as such 105.5th term= (1+1)/2 = 1
Highest number of pet per household - lowest number of pet per household= 2-0 =2
(a,b)

Hi,

Please explain the median part of the calculation. I didn't understand the 211/2 = 105.5. How did we get 211? I didn't get the entire logic behind it. Director  Joined: 07 Jan 2018
Posts: 659
Followers: 8

Kudos [?]: 621  , given: 88

Re: For a sample of 210 households, one-third of the households [#permalink]
3
KUDOS
median is the middlemost value.
There are in total 210 data
If we arrange this data in ascending order we get
70 zero's followed by 70 one's and finally 70 two's
the formula for median is $$\frac{(n+1)}{2}$$
There are 210 data so our median is $$\frac{211}{2}$$ which is the 105.5 th term
the median is therefore $$\frac{(1+1)}{2}$$ = 1
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Intern Joined: 26 Mar 2017
Posts: 23
WE: Account Management (Internet and New Media)
Followers: 0

Kudos [?]: 12 , given: 53

Re: For a sample of 210 households, one-third of the households [#permalink]
amorphous wrote:
median is the middlemost value.
There are in total 210 data
If we arrange this data in ascending order we get
70 zero's followed by 70 one's and finally 70 two's
the formula for median is $$\frac{(n+1)}{2}$$
There are 210 data so our median is $$\frac{211}{2}$$ which is the 105.5 th term
the median is therefore $$\frac{(1+1)}{2}$$ = 1

Thanks a lot for the prompt revert. I understood. Re: For a sample of 210 households, one-third of the households   [#permalink] 15 Nov 2018, 21:03
Display posts from previous: Sort by

# For a sample of 210 households, one-third of the households  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.