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Show that the arithmetic mean of the squ...

Show that the arithmetic mean of the square root of x cannot be greater than the square root of its arithmetic mean.

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What are the merits of arithmetic mean?

Show that the arithmetic means of two positive numbers can never be less than their geometric mean. The arithmetic and geometric means of two positive numbers are 15 and 9 respectively. Find the numbers.

UNITED BOOK HOUSE-Model Test Set - 7-Exercise
  1. The mean and standard deviation for two values x1 and x2 (x1 < x2) of ...

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  2. Three points x, y and z are taken at random on a line segment. What is...

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  3. If events A and B are independent, then so are A^c and B?

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  4. What do you mean by statistical independence of events?

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  5. Find the arithmetic mean of 7, 77, 777.upto p^(th) term.

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  6. If y = a + bx and Mo is the mode of x, then show that the mode of y mu...

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  7. Show that the arithmetic mean of the square root of x cannot be greate...

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  8. If x > 0, y >0, z > 0 and x +y + z = 1, prove that (1+x)(1+y)(1+z)ge 8...

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  9. If a,b,c be three distinct positive numbers, each different from 1 suc...

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  10. Give f(x) = a + b(x - 10) + c(x - 1)(x - 2), f(1) = 7, f(2) = 17 and f...

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  11. Derive Lagrange's interpolation formula.

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  12. If P(A) = 1/2, P(B) = 1/3, and P(A^c cap B^c) = 5/12, find P(AIB) and...

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  13. Eight students are arranged in a row. Find the probability that two gi...

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  14. If the prices of all items in a place have increased by 145 times in c...

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  15. Study the effect of change of origin and scale on mean deviation and q...

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  16. The mean deviation of the series 3, 4, 5, 6, 7 about the median is

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  17. The standard deviation of the first n odd positive integers is sqrt85 ...

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  18. State and prove Cauchy-Schwartz inequality.

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  19. Why meiosis is considered as reductional division?

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  20. Give the forniula of Fisher’s index number ?

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