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# What is the variance of set X, which contains only consecutive even in

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Re: What is the variance of set X, which contains only consecutive even in [#permalink]

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

Bunuel wrote:
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.

Project DS Butler Data Sufficiency (DS3)