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Let `x_1,""x_2,"". . . . . . ,""x_n` be n observations, and let ` bar x` be their arithematic mean and `sigma^2` be their variance. Statement 1: Variance of `2x_1,""2x_2,"". . . . . . ,""2x_n""i s""4""sigma^2` . Statement 2: Arithmetic mean of `2x_1,""2x_2,"". . . . . . ,""2x_n""i s""4x` . (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false

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RD SHARMA-STATISTICS-Solved Examples And Exercises
  1. Calculate mean deviation from the median for the following distribu...

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  2. The mean deviation for n observations x1, x2, ......... , xn from th...

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  3. Let x1,""x2,"". . . . . . ,""xn be n observations, and let bar x be t...

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  4. The mean and variance of 7 observations are 8 and 16, respectively....

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  5. If for a sample of size 60, we have the following information sumxi^2=...

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  6. The mean and standard deviation of 20 observations are found to be ...

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  7. Consider the numbers 1,2,3,4,5,6,7,8,9,10. If 1 is added to each num...

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  8. If for distribution of 18 observations sum(xi-5)=3a n dsum(xi-5)^2=43 ...

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  9. If the men and standards deviation of 100 observations are 50 and 4 ...

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  10. Let x1,\ x2,\....,\ xn values of variable X and let 'a' be non zero re...

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  11. If two variates Xa n dY are connected by the relation Y=(a X+b)/c ,w h...

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  12. Let x1, x2, x3, , be n values of a variable X. If these values are ch...

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  13. If for a sample of size 60, we have the following information sumxi^2=...

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  14. Let x1, x2, ...... ,xn be values taken by a variable Xa n dy1, y2,.......

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  15. The sum of the squares of deviation of 10 observations from their mean...

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  16. If the S.D. of a set of observations is 8 and if each observation is ...

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  17. The mean deviation of the numbers 3 ,4,5,6,7 from the mean is 5 ,(a) ...

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  18. A batsman scores run in 10 innings as 38,70,48,34,42,55,63,46,54 and ...

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  19. Calculate mean deviation about mean from the following data: xi : 3,9,...

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  20. Calculate the mean and standard deviation for the following data: Wage...

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