The mean of values 1- 1-2-1-3-1-n which have frequencies 1- 2- 3- - n resp- is

The correct option is C 2/n+1 Required mean =∑ x_if_i∑ f_i=1+1+1+............1+2+3+4............+n=nn(n+1)/2=2n+1 ...

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Mathematical Expression for Mean

The mean of v...

Question

The mean of values 1, $\frac{1}{2}, \frac{1}{3}, . . . . . \frac{1}{n}$ which have frequencies 1, 2, 3, ...... n resp., is

\frac{2 n + 1}{3}

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\frac{2}{n}

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\frac{n + 1}{2}

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\frac{2}{n + 1}

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Solution

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Similar questions

{lim}_{n \to \infty} (\frac{n}{(n + 1) \sqrt{2 n + 1}} + \frac{n}{(n + 2) \sqrt{2 (2 n + 2)}} + \frac{n}{(n + 3) \sqrt{3 (2 n + 3)}} . . . . . + \frac{1}{2 n \sqrt{3}})

1, 2, 3, . . . n

n, n - 1, n - 2, . . . 3, 2, 1.

0, 1, 2, 3, . . ., n

1, C (n, 1), C (n, 2), C (n, 3), . . ., C (n, n)

1 - 2 n + \frac{2 n (2 n - 1)}{2!} - \frac{2 n (2 n - 1) (2 n - 1)}{3!} + . . . + (- 1)^{n - 1} \frac{2 n (n - 1) . . . (n + 2)}{(n - 1)}

= (- 1)^{n + 1} \frac{(2 n)}{2 (n!)^{2}},

^{2 n} C_{2} +^{2 n} C_{4} +^{2 n} C_{6} + \dots +^{2 n} C_{2 n} = 511

^{n} C_{0} -^{n} C_{1} 3^{1} +^{n} C_{2} 3^{2} + \dots + (- 1)^{n}^{n} c_{n} 3^{n}

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