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What is the standard deviation of the first n natural numbers?

$\sqrt{\dfrac{n^2-1}{12}}$
$\sqrt{\dfrac{n^2+1}{12}}$
$\sqrt{\dfrac{n(n+1)}{2}}$
$\sqrt{\dfrac{n(n+1)(2n+1)}{6}}$
Additional Questions

In the series
6 4 1 2 2 8 7 4 2 1 5 3 8 6 2 1 7 1 4 1 3 2 8 6
How many pairs of alternate numbers have a difference of 2?

Answer

If + means X, X means -, $\div $ means + and - means $\div $ then what is the value of (175-25)$\div $(5 +20)x (3 +10)

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In a geometric series, if the fourth term is $\dfrac{2}{3} $and seventh term is $\dfrac{16}{81}$ then what is the first term of the series?

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Find the percentage increase in the area of a triangle if its each side is doubled.

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The sequence follow a regular pattern. Find the correct letter for question nark, to complete the sequence.
C E I K O Q ?

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Find Least Common Multiple of $\dfrac{4}{5} $,$\dfrac{3}{10} $ and $\dfrac{7}{15} $

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Three numbers are in the ratio 1 : 2 : 3. Their highest common factor is 12. Find the numbers

Answer

If the two numbers are in the ratio of 2:3 and the product of their highest common factor and least common multiple is 150, then find the sum of the numbers.

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Alex invested an amount of Rs. 8,000 in a fixed deposit scheme for 2 years at compound interest rate 5% per annum. How much amount will Alex get on maturity of the fixed deposit?

Answer

The difference between the compound interest and simple interest on a certain sum at 8% per annum for 2 years is Rs. 240. Find the sum.

Answer
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