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Introduction: Data

What is the f...

Question

What is the frequency denoted by these tallies.

(a)

(b)

(c)

(d)

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Solution

(a) 5

(b) 6

(c) 13

(d) 17

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Similar questions

Q. What are the limits of

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

; where n is a positve integer ?

Q. The value of

lim n \to \infty \frac{1^{1} + 2^{2} + 3^{3} + \dots + n^{n}}{1^{n} + 2^{n} + 3^{n} + \dots + n^{n}}

lim n \to \infty ((\frac{n}{n})^{n} + (\frac{n - 1}{n})^{n} + . . + ({\frac{1}{n}}^{n}))

C_{0}, C_{1}, C_{2}, \dots, C_{n}

denote the binomial coefficients in the expansion of

(1 + x)^{n},

1^{2} \cdot C_{1} + 2^{2} \cdot C_{2} + 3^{2} \cdot C_{3} + \dots + n^{2} C_{n}

Q. If f(x) = (cos x + i sin x) (cos 2x + i sin 2x) (cos 3x + i sin 3x) ...... (cos nx + i sin nx) and f(1) = 1, then f'' (1) is equal to

(a)

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

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

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

(d) none of these

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