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If two positive values of a variable be `x_(1)` and `x_(2)` and the arithmetic mean be A, geometric mean be G and the harmonic mean be H, then prove that `G^(2)=AH`

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CALCUTTA BOOK HOUSE-MEASURES OF CENTRAL TENDENCY-EXERCISE
  1. Find the average of first n-natural numbers.

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  2. What is the algebraic sum of the deviations of the values of a variabl...

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  3. If two positive values of a variable be x(1) and x(2) and the arithmet...

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  4. Find the average of the variable. The incomes of three friends are ...

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  5. Find the average of the variable. The diameters of five pipes are :...

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  6. Find the average of the variable. The selling prices of seven days ...

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  7. In the following table the prices of salt per quintal of secen days of...

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  8. The marks obtained by 30 students in a examination of a class are give...

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  9. The frequency distribution of the family members of 65 families are gi...

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  10. The weights (in Kg) and their frequency distribution of 100 students a...

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  11. The frequency distribution of the number of accidents in 30 consecutiv...

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  12. The frequency distribution of the diameters (in mm) of 80 pipes are gi...

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  13. Find the average of the numbers from the given frequency distribution ...

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  14. The frequency distributions of the quantity (in quintals) of producing...

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  15. The frequency distribution of the monthly incomes (in rupees) of the w...

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  16. The average of weights (in kg) and the number of students of a school ...

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  17. The arithmetic mean of the marks obtained in 8 different subjects in a...

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  18. The average of the collective ages of 4 classes in a school is 8.5 yea...

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  19. If the average temperature of a place be 105.5^(@) F in Fahrenheit sca...

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  20. Donations (in rupees) are given for a fare by the 100 students of a sc...

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