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For an data if n = 10, sumx1=40,sumxi^2=...

For an data if n = 10, `sumx_1=40,sumx_i^2=250` then standard deviation s = ....

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Find the standard deviation for the following data:

the mean and standard deviation of some data for the time taken to complete a test are calculated with the following results: Number of observations = 25, mean = 18.2 seconds , standard deviation = 3.25 seconds. Further , another set of 15 observations x_1,x_2,........,x_15 , also in seconds , is now available and we have sum_(i=1)^15 x_i = 279 and sum_(i=1)^15 x_i^2 = 5524. Calculated the standard deviation based on all 40 observations.

If sum_(i=1)^9 (x_i - 5) = 9 and sum_(i=1)^9 (x_i - 5)^2 = 45. The standard deviation of the observations x_1, x_2,………,x_9 is ………….

If the variance of a data is 121 , then the standard deviation of the data is ……….

Let x_1,x_2,x_3,………,x_n be n observations . Let W_i = lx_i + k for i=1,2,……,n, where l and k are constants. If the mean of x_i's is 48 and their standard deviation is 12, the mean of w_i's is 55 and standard deviation of w_i's is 15, the values of l and k should be ..........

The following data is for 15 observation obtained in an experiment. sumx_i^2 = 2830, sum x_i = 170 . The wrong observation is 20. If it is taken as 30, then the correct coefficient of variance is ………….

Let x_1, x_2 ,…………,x_n be n observations and barx be their arithmetic mean. The formula for the standard deviation is given by ……….. .

Find the standard deviation of the first n natural numbers.

A series are 2n observations. The half of them is a and the reamaining half is -a . If their standard deviation is 2 then |a| = ………

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)

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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    |