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variance of 6 observation is 250 then su...

variance of 6 observation is 250 then `sum(x_i-barx)^2=1200.`

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The variance of 20 observations is 5. if each observation is multiplied by 2, find the new variance of the resulting observations.

prove that if the variance of the observations x_1,x_2,x_3,…….,x_n is sigma^2 then the variance of x_1+a,x_2 +a, x_3 + a,………….., x_n + a is sigma^2 .

The mean and variance of eight observation are 9 and 9.25, respectively. If six of the observation are 6,7,10,12,12 and 13, find the remaining two observations.

x_1,x_2, x_3,………., x_n are n observations . sum_(i=1)^(n) (x_i - 2) = 100 " and " sum_(i=1)^(n) (x_i - 5) = 20 then mean barx = …….

Given that bar(x) is the mean and sigma^(2) is the variance of n observation x_(1), x_(2), …x_(n). Prove that the mean and sigma^(2) is the variance of n observations ax_(1),ax_(2), ax_(3),….ax_(n) are abar(x) and a^(2)sigma^(2) , respectively, (ane0) .

The mean and variance of 7 observation are 8 and 16, respectively. If five of the observation are 2,4,10,12,14 . Find the remaining two observations.

The mean and standard deviation of a set of n_1 observation are barx_1 and S_1 , respectively while the mean standard deviation of another set of n_2 observations are barx_2 and S_2 , respectively . Show that the standard deviation of the combined set of (n_1+n_2) observations is given by standard deviation sqrt ((n_1(S_1)^2 + n_1(S_2)^2)/(n_1+n_2) + (n_1+n_2 (barx_1 - barx_2)^2)/(n_1-n_2)^2)

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KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Statistics (True/False Statement)
  1. Marks obtained by 10 students in exam of 70 Marks are as follows. 53,4...

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  2. Numbers of observation of the data is n (where n is even) then median ...

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  3. Median of nine observations is 20.45 . If 2 is added in last four obse...

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  4. Let a,b,c,d,e be the observations with mean m and standard deviation S...

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  5. Mean is the measure of dispersion.

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  6. Co-efficient of variance of one data is 45% and mean is 12 then S.D. i...

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  7. x1,x2,x3,….xn then (x1-barx)+(x2-barx)+(xn-barx)=0.

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  8. For an data if n = 10, sumx1=40,sumxi^2=250 then standard deviation s ...

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  9. variance of 6 observation is 250 then sum(xi-barx)^2=1200.

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  10. a,b,c and d are 4 observations . Their mean and median is zero then b ...

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  11. Marks obtained by 10 students in exam of 70 Marks are as follows. 53,4...

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  12. Numbers of observation of the data is n (where n is even) then median ...

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  13. Median of nine observations is 20.45 . If 2 is added in last four obse...

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  14. Let a,b,c,d,e be the observations with mean m and standard deviation S...

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  15. Mean is the measure of dispersion.

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  16. Co-efficient of variance of one data is 45% and mean is 12 then S.D. i...

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  17. x1,x2,x3,….xn then (x1-barx)+(x2-barx)+(xn-barx)=0.

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  18. For an data if n = 10, sumx1=40,sumxi^2=250 then standard deviation s ...

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  19. variance of 6 observation is 250 then sum(xi-barx)^2=1200.

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  20. a,b,c and d are 4 observations . Their mean and median is zero then b ...

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