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Show that the sum of deviations of a set of observations about their mean is Zero.

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Consider any set of observations x_(1),x_(2),x_(3),..,x_(101) . It is given that x_(1) lt x_(2) lt x_(3) lt .. lt x_(100) lt x_(101) , then the mean deviation of this set of observations about a point k is minimum when k equals

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UNITED BOOK HOUSE-Techno India Group Academia South Kolkata, Question Paper -Exercise
  1. If the standard deviation of the set of nos. 1, 2, 3,….,k is 2, then f...

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  2. If the A.M. and G.M. of two positive real nos. are 45 and 9 respective...

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  3. Show that the sum of deviations of a set of observations about their m...

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  4. In a group of 20 males and 5 females, 10 males and 3 females ae servic...

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  5. If A, B, C are three independent events such that P(A) = 1/4, P(B) = 1...

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  6. Write the classical definition of probability and state its limitation...

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  7. Write down the Fisher’s Price index formula.

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  8. My friend Rabeya's father has a furniture shop in Andul.I often visit ...

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  9. If a, b, c are all positive, prove that 6abc le bc(b + c) + ca(c + a) ...

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  10. For ninN, prove that ((n+1)/2)^ngt n!

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  11. When (x^5 - 1) is divided by (2x + 1), then the remainder is

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  12. State and prove Cauchy-Schwartz inequality.

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  13. Show that if events A and B are independent, then so are A^c and B^c.

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  14. An urn contains 4 tickets having the nos. 112, 121, 211, 222. A ticket...

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  15. If a fair coin is tossed thrice find the probability that there are ...

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  16. If a variable be such that np observations are all equal to 1 and the ...

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  17. Prove that Mean deviation is minimum about its median.

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  18. Find the standard Deviation of 6 and 8.

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  19. The lower and the upper quartiles of a disiribution are 14.6 and 25.2 ...

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  20. The first of two urns contains 3 white and 2 black balls and 2 red bal...

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