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10 is the mean of a set of 7 observation...

10 is the mean of a set of 7 observations and 5 is the mean of a set of 3 observations, the mean of the combined set is

A

15

B

10

C

8.5

D

7.5

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The correct Answer is:
C
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Observe the following statements : (A) : 10 is the mean of a set of 7 obervations and 5 is the mean of a set of 3 observations. The mean of a combined set is 9. (R ) : If bar(x)_(i)(i = 1,2,…,k) are the means of k - series n_(i)(I = 1,2,3,…,k) respectively, then the combined or composite mean is bar(x) = (n_(1)bar(x)_(1) + n_(2) bar(x)_(2) + ...+ n_(k)bar(x_(k)))/(n_(1)+n_(2)+...+n_(k))

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The mean of 20 observations is 30. If the mean of first 15 observations is 32, find the mean of last 5 observations.

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OBJECTIVE RD SHARMA ENGLISH-MEASURES OF CENTRAL TENDENCY-Exercise
  1. The most stable measure of central tendency is

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  2. The mean of the distribution, in which the values of X are 1, 2, ..,n ...

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  3. 10 is the mean of a set of 7 observations and 5 is the mean of a set o...

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  4. A statistical measure which cannot be determind graphically is

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  5. The measure of central tendency of a statistical data which takes into...

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  6. An ogive is used to determine

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  7. The geometric mean of the series 1,2,4,8,16,....,2^n is

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  8. If G(1),G(2) are the geometric means fo two series of observations and...

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  9. If G is the GM of the product of r sets of observations with geometric...

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  10. A group of 10 items has arithmetic mean 6. If the arithmetic mean of 4...

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  11. The arithmetic mean of a set of observations is bar(X). If each observ...

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  12. The weighted mean of the first n natural numbers whose weights are equ...

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  13. If a variable takes value 0,1,2,3,....,n with frequencies 1,C(n,1),C(n...

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  14. The weighted mean of the first n natural numbers whose weights are equ...

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  15. The mean of n observations is X . If the first item is increased by...

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  16. If bar X1 and bar X2 are the means of two series such that bar X1 lt...

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  17. The mean of the series x1, x2,...xn is barX. If x2 is replaced by lamb...

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  18. The mean income of a group of workers is bar(X) and that of another gr...

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  19. If the variable takes values 0,1,2,…, n with frequencies q^(n),""^(n)C...

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  20. The AM of n observations is M. If the sum of n-4 observations is a, ...

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