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For a set of positive quantities, Prove ...

For a set of positive quantities, Prove that `A.M. ge GM ge H.M.`.

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For a set of an positive quantities prove that AM ge GM ge HM .

If a and b are two positive numbers, then prove that A.M. ge G.M. ge H.M.

If m, n are positive quantities, prove that ((mn+1)/(m+1))^(m+1)gen^m .

If x, y, z are positive quantities, prove that frac(x^3 + y^3)(x + y) + frac(y^3 + z^3)(y + z) + frac(z^3 + x^3)(z + x) ge xy + yz + zx

If the values of a variable are in G.P, then prove that A.M., G.M., H.M. of the values are also in G.P.

If A is the A.M. and G is the G.M. of two unequal positive real numbers p and q, prove that A gt G and |G| gt (G^(2))/(A)

State the condition when A.M. = G.M. = H.M.

If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are A pm sqrt((A+G )(A−G )) .

Statement I : If the arithmetic mean of two numbers is (5)/(2) , geometric mean of the numbers is 2, then the harmonic mean will be (8)/(5) . Statement II : For a group of positive numbers (G.M.)^(2) = (A.M.) xx (H.M.)

Assuming a.m. ge g.m is true for 8 and 16 positive observation show that a.m ge g.m for 11 positive observation.

UNITED BOOK HOUSE-Taki House Govt. Sponsored Girls High School, Question Paper -Exercise
  1. The mode can be obtained geometrically from

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  2. Bar diagrams are applicable to represent.

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  3. What is the difference between line diagram and ratio chart?

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  4. Define frequency density of a class interval.

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  5. The A.M. of 1, 2, 2^2,……..2^9 is(fill in the blanks)

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  6. The difference between the upper and lower limits of a class interval ...

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  7. Describe cross sectional data with their utility.

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  8. Define ordianl and nominal data.

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  9. If the relation between two variables y and x is x - 3y = 6 and S.D. o...

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  10. What are the merits of arithmetic mean?

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  11. Write the two meanings of statistics.

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  12. Write down the merits and demerits of mass questionnaire method.

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  13. Write the significance of E.T.S.

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  14. Compare bantulation with diagrammatic representation of data.

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  15. How would you construct a frequency distribution of a continuous varia...

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

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  18. If the values of a variable are in G.P, then prove that A.M., G.M., H....

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  19. For a set of positive quantities, Prove that A.M. ge GM ge H.M..

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  20. Show that overset(n)underset(i=1)sum (xi - A)^2 is minimum when A = ba...

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