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If  is the mean of  prove that...

If  is the mean of  prove that

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If x,y,z are in A.P.and A1 is the arithmetic mean of x,y and A2 is the arithmetic mean of y,z then prove that the arithmetic mean of A1 and A2 isy

If n arithmetic means xare inserted between 1 and 31 such that the 7^(th) mean: the (n+1)^(th) mean =5:9 then prove that n=14

If ‘a', is the Arithmetic mean of b and c, 'b', is the Geometric mean of c and a, then prove that 'c' is the Harmonic mean of a and b.

Using Lagrange's mean value theorem prove that if b gt a gt 0 "then " (b-a)/(1+b^(2)) lt tan^(-1) b -tan^(-1) a lt (b-a)/(1+a^(2))

If x, y, z are in arithmetic progression and a is the arithmetic mean of x and y and b is the arithmetic mean of y and z, then prove that y is the arithmetic mean of a and b.

Given that a right angled trapezium has an inscribed circle.Prove that the length of the right angled leg is the Harmonic mean of the lengths of bases

If one geometric mean G and two arithmetic means p,q be inserted between two given numbers,then prove that,G^(2)=(2p-q)(2q-p)

G is the geometric mean and p and q are two arithmetic means between two numbers a and b, prove that : G^(2)=(2p-q)(2q-p)

If a, b, c are in A.P. and a, x, b, y, c are in G.P., then prove that b^(2) is the arithmatic mean of x^(2)" and "y^(2).

RD SHARMA-MEASURES OF CENTRAL TENDENCY-All Questions
  1. The percentage of marks obtained by students of a class in mathemat...

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  2. the numbers of children in 10 families of a locality are: 2, 4, 3, 4...

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  3. If  is the mean of  prove that

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  4. Duration of sunshine (in hours) in Amritsar for first 10 days of Aug...

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  5. Explain, by taking a suitable example, how the arithmetic mean alter...

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  6. The mean of marks scored by 100 students was found to be 40. Later o...

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  7. The traffic police recorded the speed (in km/hr) of 10 motorists as ...

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  8. The mean of five numbers is 27. If one number is excluded, their me...

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  9. The mean weight per student in a group of 7 students is 55 kg. The i...

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  10. The mean weight of 8 numbers is 15. If each number is multiplied by ...

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  11. The mean of 5 numbers is 18. If one number is excluded, their mean ...

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  12. The mean of 200 items was 50. Later on, it was discovered that the t...

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  13. Find the value of n and X in each of the following cases:

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  14. The sums of the deviations of a set of  values  measured from 15 an...

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  15. Find the sum of the deviations of the variate values 3, 4, 6, 7,...

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  16. If  is the mean of the ten natural numbers  show that

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  17. Find the mean of the following distribution:

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  18. Following table shows the weights of 12 students: ...

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  19. Find the mean of the following distribution

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  20. If the mean of the following distribution is 6, find the value of p

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