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The arithmetic mean of ""^(n)C(0),""^(n)...

The arithmetic mean of `""^(n)C_(0),""^(n)C_(1), ... ,""^(n)C_(n),` is

A

`(2^(n))/(n)`

B

`(2^(n)-1)/(n)`

C

`(2^(n))/(n+1)`

D

`(2^(n-1))/(n+1)`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-MEASURES OF CENTRAL TENDENCY-Chapter Test
  1. The arthmetic mean of first n odd natural numbers, is

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  2. The arithmetic mean of ""^(n)C(0),""^(n)C(1), ... ,""^(n)C(n), is

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  3. The arithmetic mean of the squares of first n natural numbers is

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  4. Geometric mean of 3, 9 and 27, is

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  5. If for a moderately skewed distribution, mode = 60 and mean = 66, then...

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  6. the median of 10, 14, 11, 9, 8, 12, 6 is

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  7. The mean of discrete observations y(1), y(2), …, y(n) is given by

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  8. The average of 50 numbers is 38. If the numbers 45 and 55 are disca...

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  9. The geometric mean of numbers 7, 7^(2),7^(3),…,7^(n), is

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  10. The sum of deviations of n observations about 25 is 25 and sum of devi...

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  11. If the sum of the mode and mean of a certain frequency distribution i...

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  12. The mean weight of 9 items is 15. If one more item is added to the ser...

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  13. The mode of the data 6,4,3,6,4,3,4,6,3,x can be

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  14. If the difference between the mode and median is 2, then the differen...

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  15. If the mean of the following distribution is 13, then p = {:(x(i) :...

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  16. The mean of a certain number of observations is m. If each observati...

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  17. The frequency distribution of marks obtained by 28 students in a test ...

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  18. If the median of (x)/(2),(x)/(3),(x)/(4),(x)/(5),(x)/(6) ("where " x...

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  19. If the median of the scores 1,2,x,4,5("where " 1 lt 2 lt x lt 4 lt 5) ...

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  20. Mode of a certain series is x. If each score is decreased by 3, then ...

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