Last visit was: 10 Nov 2024, 04:58 |
It is currently 10 Nov 2024, 04:58 |

Customized

for You

Track

Your Progress

Practice

Pays

For a sample of 210 households, one-third of the households
[#permalink]
11 Dec 2017, 10:04

2

Expert Reply

5

Bookmarks

Question Stats:

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.

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.

Re: For a sample of 210 households, one-third of the households
[#permalink]
15 Jan 2018, 21:37

1

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)

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)

Re: For a sample of 210 households, one-third of the households
[#permalink]
14 Nov 2018, 09:06

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)

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.

Thanks in advance.

Re: For a sample of 210 households, one-third of the households
[#permalink]
15 Nov 2018, 07:04

4

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

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

Re: For a sample of 210 households, one-third of the households
[#permalink]
15 Nov 2018, 21:03

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

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]
25 Sep 2024, 19:32

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.

Thanks to another GRE Prep 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.

gmatclubot

Re: For a sample of 210 households, one-third of the households [#permalink]

25 Sep 2024, 19:32
Moderators:

Multiple-choice Questions — Select One or More Answer Choices |
||

## Hi Generic [Bot],Here are updates for you:## Prep Club for GRE REWARDS |