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For a sample of 210 households, one-third of the households

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

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


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

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