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Let a,b,c,d,e be the observations with mean m and standard deviation S. The standard deviation of the observation a + k , b+ k , c+ k, d+k, e+k is ……

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Let x_1,x_2, x_3, x_4, x_5 be the observations with mean m and standard deviation S. The standard deviation of the observations kx_1,kx_2,kx_3,kx_4,kx_5 is ……….

The mean of 100 observations is 50 and their standard deviation is 5. The sum of all squares of all the observations is ………….

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

The mean and standard deviation of six observations are 8 and 4, respectively. If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations

Two sets each of 20 observations , have the same standard deviation 5. The first set has a mean 17 and the second a mean 22. Determine the standard deviation of the set obtained by combining the given two sets.

The mean and standard deviation of a group of 100 observations were found to be 20 and 3, respectively. Later on it was found that three observations were incorrect, which were recorded as 21, 21 and 18. Find the mean and standard deviation if the incorrect observations are omitted.

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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