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Prove that 1/n overset(n)underset(E1)sum...

Prove that `1/n overset(n)underset(E_1)sum |x_i - A|` attains, minimum when A = Median.

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UNITED BOOK HOUSE-Scottish Church Collegiate School, Question Paper -Exercise
  1. State Fermat’s theorem. Also prove that /\log f(x) = log [1 +(/\ f(x))...

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  2. Find the polynomial function f(x) for which it is known that f(0) = 1,...

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  3. Prove that 1/n overset(n)underset(E1)sum |xi - A| attains, minimum whe...

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  4. If the events A^C and B^C are independent then show that A and B are i...

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  5. The probabilities of solving a problem by three students A,B,C are 3/7...

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  6. Suppose a variable assumes the values, 0, 1, 2,………….n with frequencies...

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  7. For any frequecy distribution

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  8. If the mean and variance of one set of values be barx1 and s1^2 and th...

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  9. Define imbibition State its significance.

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  10. The elements A, B and C have atomic numbers Z -2, Z and Z +1 respecive...

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  11. State and prove the theorem of compound probability.

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  12. The H.M of a set of values is 2. If each value is tripled, the new H.M...

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  13. If the relation between two variable x and y is 5y+7x=11 and the range...

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  14. A dinner party is to be fixed for a group of 100 persons. In this part...

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  15. If var (x) = 7, then var (5 - 3x) is equal to

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  16. The first moment about the value 4 of a variable is 3, then its mean ...

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  17. The sum of the roots of the equation x^3 + 5x + 1 = 0 is

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  18. If x is real, the minimum value of x^2 - 10x + 28 is

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  19. The two digited fermat number is

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  20. A and B are two independent events such that P(A^C) = 0.7, P(B) = k an...

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