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Statement 1: The variance of first n even natural numbers is {

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Statement 1: The variance of first n even natural numbers is $\frac{n ^{2} - 1}{4}$ Statement 2: The sum of first n natural numbers is $(n \frac{n + 1}{2}$ and the sum of squares of first n natural numbers is $(n (n + 1) \frac{2 n + 1}{6}$

Name: Video solution 1: Statement 1: The variance of first n even natural numbers is 4n2−1Statement 2: The sum of first n natural numbers is (n2n+1and the sum of squares of first n natural numbers is (n(n+1)62n+1
Uploaded: 2021-01-01T18:41:02.000Z
Duration: 2 min
Description: Video solution 1: Statement 1: The variance of first n even natural numbers is 4n2−1Statement 2: The sum of first n natural numbers is (n2n+1and the sum of squares of first n natural numbers is (n(n+1)62n+1

Statement1 is true, Statement2 is true, Statement2 is a correct explanation for statement1

Statement1 is true, Statement2 is true; Statement2 is not a correct explanation for statement1.

Statement1 is true, statement2 is false.

Statement1 is false, Statement2 is true

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Scarlett Discussed

Statement 1: The variance of first n even natural numbers is

\frac{n ^{2} - 1}{4}

Statement 2: The sum of first n natural numbers is

(n \frac{n + 1}{2}

and the sum of squares of first n natural numbers is

(n (n + 1) \frac{2 n + 1}{6}

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Question Text	Statement 1: The variance of first n even natural numbers is $\frac{n ^{2} - 1}{4}$ Statement 2: The sum of first n natural numbers is $(n \frac{n + 1}{2}$ and the sum of squares of first n natural numbers is $(n (n + 1) \frac{2 n + 1}{6}$
Answer Type	Video solution: 1
Upvotes	150

Statement 1: The variance of first n even natural numbers is 4n2−1​Statement 2: The sum of first n natural numbers is (n2n+1​and the sum of squares of first n natural numbers is (n(n+1)62n+1​

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Statement 1: The variance of first n even natural numbers is $\frac{n ^{2} - 1}{4}$ Statement 2: The sum of first n natural numbers is $(n \frac{n + 1}{2}$ and the sum of squares of first n natural numbers is $(n (n + 1) \frac{2 n + 1}{6}$