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05 Aug 2021, 01:30
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D
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Difficulty:
55%
(hard)
Question Stats:
58% (01:14) correct
42%
(01:16)
wrong
based on 155
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What is the variance of set X, which contains only consecutive even integers?
(1) X consists of 10 terms.
(2) The range of X is 18.
(1) X consists of 10 terms.
(2) The range of X is 18.
Updated on: 05 Aug 2021, 05:55
Originally posted by sumitkrocks on 05 Aug 2021, 04:17.
Last edited by sumitkrocks on 05 Aug 2021, 05:55, edited 1 time in total.
Last edited by sumitkrocks on 05 Aug 2021, 05:55, edited 1 time in total.
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(D) is the answer IMO
Standard deviation/variance depends on the relative distribution of elements wrt mean so knowing pattern how elements are distributed and how m many total elements in the set exist should be sufficient to find SD/ variance
Statement (1) X consists of 10 terms.
We know elements are consecutive even integers i.e say 2, 4, 6,.....20 or 4, 6,8.....22
SD and variance can be computed
Sufficient
Statement (2) The range of X is 18.
Range = 18
Terms are consecutive even integers i.e we can find number of terms
nth term = first term + (n-1)*2
no of terms =\(\frac{(last term - first term )}{2}\) +1 = \(\frac{18}{2}\) + 1 =10
sufficient
Standard deviation/variance depends on the relative distribution of elements wrt mean so knowing pattern how elements are distributed and how m many total elements in the set exist should be sufficient to find SD/ variance
Statement (1) X consists of 10 terms.
We know elements are consecutive even integers i.e say 2, 4, 6,.....20 or 4, 6,8.....22
SD and variance can be computed
Sufficient
Statement (2) The range of X is 18.
Range = 18
Terms are consecutive even integers i.e we can find number of terms
nth term = first term + (n-1)*2
no of terms =\(\frac{(last term - first term )}{2}\) +1 = \(\frac{18}{2}\) + 1 =10
sufficient
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05 Aug 2021, 04:45
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Standard Deviation = Range/4
Variance = (SD)^2
Statement 1:
Set X = 10 units.
Let unit 1 = X
Unit 2 = X+2
Unit 10 = X+18 (you can count any 10 consecutive even integer)
Range = 18
SD = 4.5
Variance = 20.25
(Sufficient)
Statement 2:
Range = 18
SD = 4.5
Variance = 20.25
(Sufficient)
Answer should be D
Posted from my mobile device
Variance = (SD)^2
Statement 1:
Set X = 10 units.
Let unit 1 = X
Unit 2 = X+2
Unit 10 = X+18 (you can count any 10 consecutive even integer)
Range = 18
SD = 4.5
Variance = 20.25
(Sufficient)
Statement 2:
Range = 18
SD = 4.5
Variance = 20.25
(Sufficient)
Answer should be D
Posted from my mobile device
